LifeWiki - User contributions [en]

C/3 diagonal

2026-07-01T15:04:44Z

Roee.s:

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without a B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[Vacuum (empty space)|vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition,{{refn|group=note|B3 rules with S4 and S5 also allow for the existence of other spaceships with speeds not possible in life such as (2,1)c/5, 2c/7 diagonal, and (3,1)c/7}} including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagonal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020 and also works in the 3 other [[outer-totalistic]] rules between B3/S024 and B38/S0248:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

== Notes ==
<references group="note">

</references>

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

Solifuge

2026-07-01T15:01:07Z

Roee.s:

{{Spaceship
|name = Solifuge
|pname = solifuge
|c = 1414
|bx = 335
|by = 351
|dir = Oblique
|slope = 3
|p = 62
|m = 62
|s = (6,2)c/31
|z = (12,4)c/62
|h = 1273
|symmetry = n
|synthesis = 190
|synthesis2 = 147
|rulemin = B3/S23
|rulemax = B3/S23
|isorulemin = B3/S23
|isorulemax = B3/S23
|discoverer = Nora Brown
|discoveryear = 2025
|rle = true
|viewerconfig = #C [[ GPS 31 HEIGHT 650 WIDTH 480 TRACKLOOP 62 12/62 -4/62 ]]
}}
'''Solifuge''' is a [[(6,2)c/31|(12,4)c/62]] spaceship constructed by [[Nora Brown]] on 30 November 2025 using a [[lumps of muck]]-based crawler she discovered the previous day.<ref name="post222000"/> Its name is another term for a group of arachnids called camel spiders,{{refn|group=note|While arachnids like true spiders and scorpions, members of the order Solifugae aren't actually true spiders. The camel spider name comes from urban legend that they are fast, venomous, and large enough to take down camels (they aren't venomous or large, and pose negligible threats to humans). Other names include Wind Scorpions, Wind Spiders, Sun Spiders, and more.}} which relates to the fact that the spaceship travels [[camelwise]]. At 1,414 cells, it is over 17 times smaller than the previous smallest [[macro-spaceship]], the [[leaf bug 2]], and over 169 times smaller than the previous smallest-known [[oblique spaceship|camelship]].

This is the first macro-spaceship to fit inside a default [[LifeViewer]] universe; its predecessor, leaf bug 2, required script commands to resize the universe beyond its default bounds.

== Underlying reaction ==
The base reaction of the spaceship is that of a lumps of muck (or a [[dove]] in some phases) being displaced by (12,4) cells every 62 generations. Weirdly, the underlying LOM displacement reaction is essentially identical to the one in the [[p124 lumps of muck hassler]], which has been known since 1994.<ref name="post222002"/>

All period-62 variants of the ship have the lowest known period for a crawler-based spaceship, beating (34,7)c/156 technology.

== History ==
On November 30, 2025, Nora Brown completed the original {{times|2305|1560}} spaceship based on a crawler she discovered the previous day.<ref name="post222000"/> Following minor reductions by [[PK22]] and [[iNoMed]], Nora Brown made a significant reduction on December 1 to {{times|584|527}}.<ref name="post222012"/><ref name="post222061"/><ref name="post222124"/> Soon after, she made a few more small reductions resulting in a form with a minimum population of 2,764 cells and a bounding box of {{times|501|496}}.<ref name="post222124"/> The pattern was reduced further on December 3, 4 and 8, first to 2,053 cells by Nora Brown,<ref name="post222245"/> then to 2,036 cells by [[Elijah Ken]],<ref name="post222252"/> then to 1,989 cells by [[iNoMed]],<ref name="post222269"/> and six times by Nora Brown to 1,415 cells.<ref name="post222287"/><ref name="post222422"/> On December 13, Elijah Ken reduced it again to its current 1,414-cell {{times|335|351}} form.<ref name="post222644"/>
{{gallery item|{{EmbedViewer
|pname = originalsolifuge
|viewerconfig = #C [[ THUMBSIZE 3 WIDTH 1200 HEIGHT 1000 ]]
|position = center
|caption = The original form of the spaceship when it was first discovered
|style = width:300px;
}}}}

== Glider synthesis and gun == {{main|Glider synthesis}}
On December 8, [[hibiscus]] discovered a 236-glider synthesis of a 1,508-cell Solifuge variant.<ref name="post222433"/> This was soon reduced to 194 gliders by [[Entity Valkyrie 2]], 187 gliders by [[KtT]], 150 gliders by iNoMed and 147 gliders by [[Goldtiger997]].<ref name="post222437"/><ref name="post222439"/> The 150- and 147-glider counts assume the presence of reusable debris-eating catalysts to reduce the cost of the recipe.

On December 9, Entity Valkyrie 2 built a p8064 Solifuge gun for the 1,508-cell variant based on the above syntheses.<ref name="post222483"/>

On May 14, {{year|2026}}, hibiscus completed a 215-glider synthesis of the minimum-population 1,414-cell Solifuge.<ref name="post228669" /> This was lowered to 202 gliders the following day by [[Chris857]],<ref name="post228686" /> hibiscus,<ref name="post228687" /> and iNoMed.<ref name="post228700" /> The day after that, [[Dave Greene]] and hibiscus lowered the cost down once more to 190 gliders.<ref name="post228744" /><ref name="post228763" />

== Notes ==
<references group="note">

</references>

== References ==
<references>
<ref name="post222000">{{LinkForumThread
|format = ref
|p = 222000
|title = Re: Crawlers
|author = Nora Brown
|date = November 30, 2025
}}</ref>
<ref name="post222124">{{LinkForumThread
|format = ref
|p = 222124
|title = Re: Crawlers
|author = Nora Brown
|date = December 1, 2025
}}</ref>
<ref name="post222002">{{LinkForumThread
|format = ref
|p = 222002
|title = Re: Crawlers
|author = Entity Valkyrie 2
|date = November 30, 2025
}}</ref>
<ref name="post222012">{{LinkForumThread
|format = ref
|p = 222012
|title = Re: Crawlers
|author = PK22
|date = November 30, 2025
}}</ref>
<ref name="post222061">{{LinkForumThread
|format = ref
|p = 222061
|title = Re: Crawlers
|author = iNoMed
|date = December 1, 2025
}}</ref>
<ref name="post222245">{{LinkForumThread
|format = ref
|p = 222245
|title = Re: Crawlers
|author = Nora Brown
|date = December 3, 2025
}}</ref>
<ref name="post222252">{{LinkForumThread
|format = ref
|p = 222252
|title = Re: Crawlers
|author = Elijah Ken
|date = December 3, 2025
}}</ref>
<ref name="post222269">{{LinkForumThread
|format = ref
|p = 222269
|title = Re: Crawlers
|author = iNoMed
|date = December 4, 2025
}}</ref>
<ref name="post222287">{{LinkForumThread
|format = ref
|p = 222287
|title = Re: Crawlers
|author = Nora Brown
|date = December 4, 2025
}}</ref>
<ref name="post222422">{{LinkForumThread
|format = ref
|p = 222422
|title = Re: Crawlers
|author = Nora Brown
|date = December 8, 2025
}}</ref>
<ref name="post222433">{{LinkForumThread
|format = ref
|p = 222433
|title = Re: (12,4)c/62 technology
|author = hibiscus
|date = December 8, 2025
}}</ref>
<ref name="post222437">{{LinkForumThread
|format = ref
|p = 222437
|title = Re: (12,4)c/62 technology
|author = iNoMed
|date = December 8, 2025
}}</ref>
<ref name="post222439">{{LinkForumThread
|format = ref
|p = 222439
|title = Re: (12,4)c/62 technology
|author = KtT
|date = December 9, 2025
}}</ref>
<ref name="post222483">{{LinkForumThread
|format = ref
|p = 222483
|title = Re: Thread For Synthesisable Spaceship Guns
|author = Entity Valkyrie 2
|date = December 9, 2025
}}</ref>
<ref name="post222644">{{LinkForumThread
|format = ref
|p = 222644
|title = Re: (12,4)c/62 technology
|author = Elijah Ken
|date = December 13, 2025
}}</ref>
<ref name="post228669">{{LinkForumThread
|format = ref
|p = 228669
|title = Re: (12,4)c/62 technology
|author = hibiscus
|date = May 14, 2026
}}</ref>
<ref name="post228686">{{LinkForumThread
|format = ref
|p = 228686
|title = Re: (12,4)c/62 technology
|author = Chris857
|date = May 15, 2026
}}</ref>
<ref name="post228687">{{LinkForumThread
|format = ref
|p = 228687
|title = Re: (12,4)c/62 technology
|author = hibiscus
|date = May 15, 2026
}}</ref>
<ref name="post228700">{{LinkForumThread
|format = ref
|p = 228700
|title = Re: (12,4)c/62 technology
|author = iNoMed
|date = May 15, 2026
}}</ref>
<ref name="post228744">{{LinkForumThread
|format = ref
|p = 228744
|title = Re: (12,4)c/62 technology
|author = Dave Greene
|date = May 16, 2026
}}</ref>
<ref name="post228763">{{LinkForumThread
|format = ref
|p = 228763
|title = Re: (12,4)c/62 technology
|author = hibiscus
|date = May 16, 2026
}}</ref>
</references>

== External Links ==
* [https://en.wikipedia.org/wiki/Solifugae Solifugae] at Wikipedia

[[Category:Engineered spaceships]]
[[Category:Macro-spaceships]]

TDrylife

2026-07-01T14:48:29Z

Roee.s: Redirected page to OCA:TDryLife

#REDIRECT [[OCA:tDryLife]]

Roteightor

2026-04-26T13:20:37Z

Roee.s: Oops! Corrected the caption.

{{Oscillator
|name = Roteightor
|pname = roteightor
|c = 35
|bx = 14
|by = 14
|p = 8
|m = 2
|h = 11.0
|v = 0.63
|sv = 0.63
|symmetry = nrk
|discoverer = Robert Wainwright
|discoveryear = 1972
|rulemin = B3/S23
|rulemax = B368/S02378
|isorulemin = B3aijq/S2-in3ijnr
|isorulemax = B2cik34-ajn5-aq67e8/S0234-ajw5-nqy6-k78
|plaintext = true
|rle = true
|synthesis = 27
|synthesisRLE = true
|animated = yes
|viewerconfig = #C [[ GPS 2 LOOP 8 THUMBSIZE 3 ZOOM 27 WIDTH 480 HEIGHT 480 ]]
|apgcode = xp8_032acy1oge2zwggseb6z4701y1354c
|pentadecathlonid = 35P8.1
}}
'''Roteightor''' is a {{period|8}} [[oscillator]] with 35 [[cell]]s. It was discovered by [[Robert Wainwright]] in {{year|1972}}.<ref>{{CiteLifeline|vol=6|pages=page 3}}</ref> It consists of four [[eater 1]]s [[hassle|hassling]] a [[fleet]] [[predecessor]] that resembles a standard spaceship of length 3, sometimes called an ''underweight spaceship'' (UWSS). It can also be extended as an [[agar]], as noted by [[Dean Hickerson]] in January {{year|1990}}, to make a family of oscillators called '''multiple roteightors'''.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> The eater 1s can individually be replaced with [[eater 2]]s.

{{EmbedViewer
|pname = multipleroteightors
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 GPS 2 AUTOSTART LOOP 8 ]]
}}

== Etymology ==
The roteightor is period eight, the rotor appears to rotate, and in an extended roteightor with the underweight spaceships in their dense phases the UWSSs that touch resemble black eights.

== As a spaceship ==
In {{year|2020}} [[wwei23]] extended the UWSS to a stable 2c/4 spaceship with a minimum population of 79 cells<ref>{{LinkForumThread|f=2|t=2031|p=114261|title=Re: Spaceship Discussion Thread|author=wwei23|date=December 4th, 2020|format=raw}}</ref>:
{{EmbedViewer
|rle = x = 18, y = 16, rule = Immigration
8.3B$4.A3.B2.B2.A$3.3A2.B4.3A$2.A2.2A2.B5.2A$.3A.A6.A4.A$7.A.A.A.3A.A
$3.A.A.A2.2A3.A$2.A4.A.A.A$3.2A4.A5.3A$2A7.A5.A.A$3A5.A5.2A.A$.3A4.A
5.2A$3.2A3.A$3.2A3.A3.A.2A$8.A$9.A.A!
|viewerconfig = #C [[ TRACK 0 -1/2 GPS 2 ZOOM 20 HEIGHT 600 AUTOSTART LOOP 4 ]]
|position = center
|caption = the 79 cell extension found by wwei23.
}}

== See also ==
* [[Four eaters hassling lumps of muck]]
* [[Dinner table]]
* [[Honey thieves]]

== References ==
<references />

== External links ==
{{LinkLexicon|lex_r.htm#roteightor}}
{{LinkLexicon|filename=lex_m.htm#multipleroteightors|patternname=Multiple roteightors}}
{{LinkCatagolue|xp8_032acy1oge2zwggseb6z4701y1354c}}
{{LinkPentadecathlonObject|35P8.1}}

__NOTOC__

[[Category:Agars]]

Roteightor

2026-04-24T10:29:36Z

Roee.s: Added the 79 cell extension by wwei.

{{Oscillator
|name = Roteightor
|pname = roteightor
|c = 35
|bx = 14
|by = 14
|p = 8
|m = 2
|h = 11.0
|v = 0.63
|sv = 0.63
|symmetry = nrk
|discoverer = Robert Wainwright
|discoveryear = 1972
|rulemin = B3/S23
|rulemax = B368/S02378
|isorulemin = B3aijq/S2-in3ijnr
|isorulemax = B2cik34-ajn5-aq67e8/S0234-ajw5-nqy6-k78
|plaintext = true
|rle = true
|synthesis = 27
|synthesisRLE = true
|animated = yes
|viewerconfig = #C [[ GPS 2 LOOP 8 THUMBSIZE 3 ZOOM 27 WIDTH 480 HEIGHT 480 ]]
|apgcode = xp8_032acy1oge2zwggseb6z4701y1354c
|pentadecathlonid = 35P8.1
}}
'''Roteightor''' is a {{period|8}} [[oscillator]] with 35 [[cell]]s. It was discovered by [[Robert Wainwright]] in {{year|1972}}.<ref>{{CiteLifeline|vol=6|pages=page 3}}</ref> It consists of four [[eater 1]]s [[hassle|hassling]] a [[fleet]] [[predecessor]] that resembles a standard spaceship of length 3, sometimes called an ''underweight spaceship'' (UWSS). It can also be extended as an [[agar]], as noted by [[Dean Hickerson]] in January {{year|1990}}, to make a family of oscillators called '''multiple roteightors'''.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> The eater 1s can individually be replaced with [[eater 2]]s.

{{EmbedViewer
|pname = multipleroteightors
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 GPS 2 AUTOSTART LOOP 8 ]]
}}

== Etymology ==
The roteightor is period eight, the rotor appears to rotate, and in an extended roteightor with the underweight spaceships in their dense phases the UWSSs that touch resemble black eights.

== As a spaceship ==
In {{year|2020}} [[wwei23]] extended the UWSS to a stable 2c/4 spaceship with a minimum population of 79 cells<ref>{{LinkForumThread|f=2|t=2031|p=114261|title=Re: Spaceship Discussion Thread|author=wwei23|date=December 4th, 2020|format=raw}}</ref>:
{{EmbedViewer
|rle = x = 18, y = 16, rule = Immigration
8.3B$4.A3.B2.B2.A$3.3A2.B4.3A$2.A2.2A2.B5.2A$.3A.A6.A4.A$7.A.A.A.3A.A
$3.A.A.A2.2A3.A$2.A4.A.A.A$3.2A4.A5.3A$2A7.A5.A.A$3A5.A5.2A.A$.3A4.A
5.2A$3.2A3.A$3.2A3.A3.A.2A$8.A$9.A.A!
|viewerconfig = #C [[ TRACK 0 -1/2 GPS 2 ZOOM 20 HEIGHT 600 AUTOSTART LOOP 4 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
}}

== See also ==
* [[Four eaters hassling lumps of muck]]
* [[Dinner table]]
* [[Honey thieves]]

== References ==
<references />

== External links ==
{{LinkLexicon|lex_r.htm#roteightor}}
{{LinkLexicon|filename=lex_m.htm#multipleroteightors|patternname=Multiple roteightors}}
{{LinkCatagolue|xp8_032acy1oge2zwggseb6z4701y1354c}}
{{LinkPentadecathlonObject|35P8.1}}

__NOTOC__

[[Category:Agars]]

C/3 diagonal

2025-09-09T15:06:55Z

Roee.s: Changed B3/S23 to life

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without a B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition,{{refn|group=note|B3 rules with S4 and S5 also allow for the existence of other spaceships with speeds not possible in life such as (2,1)c/5, 2c/7 diagonal, and (3,1)c/7}} including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagonal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020 and also works in the 3 other [[outer-totalistic]] rules between B3/S024 and B38/S0248:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

== Notes ==
<references group="note">

</references>

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

OCA:HighLife

2025-07-27T19:23:18Z

Roee.s: /* Spaceships */ Added mentions of 31P8H4V0 which was somehow missed

{{Rule
|name = HighLife
|imgname = highlife
|char = Chaotic
|b = 36
|s = 23
|ruleinteger = 6216
|reversal = B0123478/S0134678
|animated = true
}}
'''HighLife''' is a [[Life-like cellular automaton]] in which [[cell]]s survive from one generation to the next if they have 2 or 3 [[neighbours]], and are born if they have 3 or 6 neighbours. It was named by [[John Conway]] and was first considered in 1994 by Nathan Thompson. It is mainly of interest due to a simple [[replicator]] that it allows.

Because its [[rulestring]] is so similar to that of [[Conway's Game of Life]], many simple patterns exhibit the same behavior in both rules; only when patterns get complex do their behavior differ. Nonetheless, it exhibits such rich structure that [[John Conway]] himself stated

{{Cquote|It seems to me that 'B36/S23' is really the game I should have found, since it's so rich in nice things.<ref>[http://www.tip.net.au/~dbell/articles/HighLife.zip HighLife - An Interesting Variant of Life] by David Bell (.zip file)</ref>}}

==Notable patterns==
[[File:Highlifefourboats.png|frame|right|The "four boats" constellation.]]
All of the most common [[still life]]s, [[oscillator]]s and [[spaceship]]s from the standard Life rules behave the exact same way under the HighLife rules, including the [[block]], [[beehive]], [[blinker]], [[toad]], [[beacon]], [[glider]], [[lightweight spaceship]], [[middleweight spaceship]], and [[heavyweight spaceship]]. On the other hand, even though [[traffic light]]s and [[honey farm]]s themselves behave the same in both rules, they do not occur naturally in HighLife with any sort of regularity due to their common [[predecessor]]s instead evolving differently. The T-tetromino and other common traffic light predecessors instead result in nothing but sparks, and while not all patterns that evolve into a honey farm in ConwayLife evolve the same way in HighLife, some of them (as well as some other patterns, such as a [[hat]]) evolve into a new [[familiar four]] that consists of four [[boat]]s.

Certain patterns act differently from their Life counterparts. For example, the [[dead spark coil]] will act extremely similarly to its living counterpart, with a single cell oscillating on and off inside (a rotor impossible in regular Life). Also, blinkers or toads can be placed against one or two houses and will oscillate normally.

An infinitely-long line will replicate according to {{rl|Rule 54}} due to the presence of B6, which is absent in regular Life which causes such lines to follow {{rl|Rule 22}} instead.

===The replicator===
{{main|OCA:HighLife/Replicator}}
By far the most notable pattern in HighLife is the simple replicator, shown below. It is by far the most well-known [[replicator]] in any [[Life-like cellular automaton]]. It repeatedly copies itself along a diagonal line according to [[Rule 90]]. It copies itself the first time after 12 [[generation]]s, then produces another two copies after another 24 generations, followed by another four copies after another 48 generations, and so on. In general there are 2n copies of the replicator at generation {{nowrap|12(2n - 1)}} and their centers are evenly spaced 4 cells apart. The two ends of the replicator line expand at a [[speed]] of c/6.

Because of the way the replicator duplicates itself, it can be considered a [[sawtooth]] with expansion factor 2 and a minimum repeating population of 22. Because the replicator is so small, it often occurs naturally from [[soup]] (the Life equivalent is [[butterfly]]). This contrasts with the standard Game of Life, where all known sawtooths are complex, precisely-engineered patterns.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = replicator
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 12 ]]
|position = center
|caption = The replicator
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = replicatorpredecessor
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 12 ]]
|position = center
|caption = A 6-cell, 3-generation predecessor of the replicator
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 9, y = 9, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o3b3o$5bo2bo$4bo3bo$4bo2bo$4b3o!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 12 ]]
|position = center
|caption = The replicator after 12 generations
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 17, y = 17, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o3b3o$5bo2bo$4bo3bo$4bo2bo$4b3o3b3o$9bo2bo$8bo3b
o$8bo2bo$8b3o3b3o$13bo2bo$12bo3bo$12bo2bo$12b3o!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 12 ]]
|position = center
|caption = The replicator after another 24 generations
|style = width:300px;
}}}}
{{gallery bottom}}


A natural [[period]] 96 [[oscillator]] based on the replicator and a pair of [[block]]s functioning as [[eater]]s exists:

{{EmbedViewer
|pname = highlifereplicatorxp96
|viewerconfig = #C [[ HEIGHT 600 WIDTH 720 THUMBSIZE 2 ZOOM 16 GPS 12 AUTOSTART ]]
|position = center
|caption = The period 96 replicator oscillator
|style = width:300px;
|apgcode = xp96_33y3gokezyasa62zzytcc/b36s23
}}

===Still lifes===
Because the only difference between the HighLife rules and the standard Life rules is that there is another way for cells to be born (when they have exactly six alive [[Moore neighbourhood|neighbours]]), all [[still life]]s in the HighLife rule are necessarily still lifes under Conway's rules as well. Also, very few small still lifes under the standard Life rules have dead cells with six alive neighbours, so the list of still lifes for the two rules are almost identical for small cell counts. The smallest patterns that are still lifes in the standard Life rules but not in HighLife are [[ship]] (with {{slcells|6|text=6 cells}}) and [[hat]] (with {{slcells|9|text=9 cells}}). Also, any pattern using a [[bun]] or a [[cap]] as an [[induction coil]] that is a still life under the standard rules is not a still life in HighLife.

<div class="mw-collapsible mw-collapsed">
Click on "Expand" to the right to view a list of still lifes in HighLife.
<div class="mw-collapsible-content">

{| class="wikitable" style="margin-left:auto;margin-right:auto;"
|-
! Size
! Count
! Image
! Links
|-
| ≤3
| 0
|
|
|-
| 4
| 2
| [[Image:highlife4cellstilllifes.png]]
| {{JavaRLE|highlife4cellstilllifes}}
|-
| 5
| 1
| [[Image:highlife5cellstilllifes.png]]
| {{JavaRLE|highlife5cellstilllifes}}
|-
| 6
| 4
| [[Image:highlife6cellstilllifes.png]]
| {{JavaRLE|highlife6cellstilllifes}}
|-
| 7
| 4
| [[Image:highlife7cellstilllifes.png]]
| {{JavaRLE|highlife7cellstilllifes}}
|-
| 8
| 9
| [[Image:highlife8cellstilllifes.png]]
| {{JavaRLE|highlife8cellstilllifes}}
|-
| 9
| 9
| [[Image:highlife9cellstilllifes.png]]
| {{JavaRLE|highlife9cellstilllifes}}
|-
| 10
| 25
| [[Image:highlife10cellstilllifes.png]]
| {{JavaRLE|highlife10cellstilllifes}}
|-
| 11
| 44
| [[Image:highlife11cellstilllifes.png]]
| {{JavaRLE|highlife11cellstilllifes}}
|-
| 12
| 111
| [[Image:highlife12cellstilllifes.png]]
| {{JavaRLE|highlife12cellstilllifes}}
|-
| 13
| 218
| [[Image:highlife13cellstilllifes.png]]
| {{JavaRLE|highlife13cellstilllifes}}
|}
</div>
</div>

===Change in frequency===
{{main|OCA:HighLife/List of common still lifes}}
From the same random starting conditions, HighLife usually settles into fewer objects than in [[Conway's Game of Life|Life]]. This chart shows the change in frequency of common or notable objects in Life and in HighLife. In the chart, objects are ranked by their formation density (the number of objects per cell of empty space) rather than total frequency out of all objects. This is because the frequency of total objects also changes between Life and HighLife.

<div class="mw-collapsible mw-collapsed">
Click on "Expand" to the right to view statistics of object densities.
<div class="mw-collapsible-content">
{| class="wikitable" style="margin-left:auto;margin-right:auto;"
|-
! Object
! Density in HighLife
! Density in Life
! Change in Density
! Notes
|-
| All Objects
| 4.30×10-3
| 6.64×10-3
| -35%
| The overall decrease of objects and increase of sparks causes HighLife to stabilize over twice as fast on average. Many common methuselahs in ConwayLife, such as the [[R-pentomino]], [[block and glider]], and the [[stairstep hexomino]], die without leaving any trace. Also, patterns that make traffic lights in ConwayLife are simply sparks in HighLife; [[block and glider]], the [[two-glider octomino]], and many patterns that converge to the same evolutionary sequence as the [[I-heptomino]] (although not the I-heptomino itself) die this way in HighLife.
|-
| [[Block]]
| 1.83×10-3
| 2.11×10-3
| -13%
| Although the block is less common in HighLife, it is still the most common object.
|-
| [[Beehive]]
| 7.46×10-4
| 1.25×10-3
| -40%
| Beehives are also less common, but more common than the blinker.
|-
| [[Blinker]]
| 6.88×10-4
| 2.15×10-3
| -68%
| Blinkers are much less common, since the [[T-tetromino]] and related patterns evolves in HighLife into a large [[spark]] (see the '''bomber''' below), rather than [[traffic light]].
|-
| [[Loaf]]
| 4.19×10-4
| 3.89×10-4
| +8%
| Loaves are slightly more common in HighLife, but still far behind the beehive.
|-
| [[Boat]]
| 4.14×10-4
| 3.58×10-4
| +16%
| In HighLife, a [[hat]], as well as other predecessors, will evolve into a very common formation of four boats.
|-
| [[Tub]]
| 9.73×10-5
| 8.00×10-5
| +21%
| Tubs experience a 21% increase - the largest of the top ten most common objects.
|-
| [[Pond]]
| 3.49×10-5
| 7.53×10-5
| -54%
| Ponds, which are almost as common as tubs in Life, are almost three times rarer than tubs in HighLife. Life's four-cell [[Pond#prepond|Prepond]] dies out in HighLife.
|-
| [[Aircraft carrier]]
| 1.30×10-5
| 5.00×10-7
| +2516%
| Aircraft carriers are 26 times more common. A common heptaplet [[Image:Pi1.png]] evolves into two aircraft carriers and a blinker (in Life it is a parent of the [[pi heptomino]] sequence).
|-
| [[Elevener]]
| 2.50×10-7
| 4.55×10-9
| +5395%
| Eleveners appear 55 times as often in HighLife, because of a predecessor involving a [[pi-heptomino]] and a [[blinker]].
|-
| [[Ship]]
| 0
| 4.92×10-5
| -100%
| The center cell of a ship has six living neighbors and is born in HighLife. This birth causes it all to die.
|}
</div>
</div>

===Spaceships===
All of the [[standard spaceship]]s from the standard Life rules work in HighLife, but only a few non-standard Life spaceships are known to work in HighLife, notably [[turtle]], [[crab]], [[31P8H4V0]], and [[86P9H3V0]]. There are also several known spaceships that are specific to HighLife<ref>{{LinkEppsteinRule|b36s23|rulename=HighLife (B36/S23)|archivedate=20160310000038}}</ref>, the most well-known of which is the bomber.

Currently the speeds known for elementary Life spaceships but not elementary HighLife spaceships are [[Loafer|(1,0)c/7]], [[232P7H3V0|(3,0)c/7]], [[Lobster|(1,1)c/7]], [[Walrus|(1,1)c/8]] and [[Sir Robin|(2,1)c/6]], and speeds known for HighLife and not Life are (1,0)c/8 and (1,0)c/98.

====Elementary====
{| class="wikitable"
|-
! Direction
! Speed
! Period
! Smallest known
! Minimum # of [[cell]]s
|-
|rowspan=14| orthogonal
!rowspan=4| [[c/2 orthogonal|c/2]]
| 2
| {{LinkCatagolue|xq2_1d88wgy3gw88d1zy015f28aga82f51|b36s23|name=37P2H1V0|style=raw}}
| {{cells|37}}
|-
| 4
| [[lightweight spaceship]]<ref group="n">the next smallest known not in Life (the second-thinnest glide-symmetric 2c/4, after the xWSS's) is a {{LinkCatagolue|xq4_2ug0ehwghdzxusfh13zy0131|b36s23|name=width-11 37-cell xWSS backend variation|style=raw}}</ref>
| {{cells|9}}
|-
| 6
| {{LinkCatagolue|xq6_076g67y176g67zgk054gia0aig450kgz24cp3o6x6o3pc42z8o0oo7d9g9d7oo0o8z12r0u8he5eh8u0r21zk14s2r9c0c9r2s41kz17cimt64946tmic71|b36s23|name=205P6H3V0|style=raw}}<ref name="post179555">{{LinkForumThread|f=11|t=2332|p=191304|title=Re: HighLife|author=DroneBetter|date=August 3, 2024|format=raw}}, in which (most pertinently) p6 and p8 c/2's, a p8 c/4, and the smallest c/4 and p6 c/3 were found</ref>
| {{cells|205}}
|-
| 8
| [[31P8H4V0]]{{refn|group=n|next smallest and smallest known not in life is {{LinkCatagolue|xq8_6rucxcur6zwgoc6sogzw37cc|b36s23|name=32P8H4V0|style=raw}}<ref name="post179555" />}}
| {{cells|31}}
|-
!rowspan=2| [[c/3 orthogonal|c/3]]
| 3
| {{LinkCatagolue|xq3_o0oe55z178h0cczxdci|b36s23|name=27P3H1V0|style=raw}}<ref name="post104902">{{LinkForumThread|f=11|t=2332|p=104902|title=Re: HighLife|author=JP21|date=September 26, 2020|format=raw}}, in which new smallest-of-speed spaceships 27P3H1V0 and (now-superseded) 43P4H1V0 were found</ref>
| {{cells|27}}
|-
| 6
| {{LinkCatagolue|xq6_ehr48c46b20k8zwhhe72h01z0ghhg7b9vzwdc1560o|b36s23|name=65P6H2V0|style=raw}}<ref name="post179555" />
| {{cells|65}}
|-
!rowspan=2| [[c/4 orthogonal|c/4]]
| 4
| {{LinkCatagolue|xq4_cq215zx2u24ozgo02321z12245|b36s23|name=32P4H1V0|style=raw}}{{refn|group=n|first found in <ref name="post179555" /> while attempting to find a short even-symmetric c/4; status as smallest was preceded by the {{LinkCatagolue|xq4_511cg4qmks432a234skmq4gc115|b36s23|name=43-cell shortest odd-symmetric|style=raw}},<ref name="post104902" /> and the {{LinkCatagolue|xq4_6mjtt042a468qfcgz6a5y18ss06do6|b36s23|name=47-cell shortest width-11 asymmetric|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=59428|title=Re: HighLife|author=velcrorex|date=April 23, 2018|format=raw}}, in which the smallest c/4 w10a and w11a were found</ref> before that}}
| {{cells|32}}
|-
| 8
| {{LinkCatagolue|xq8_8g0g0k64ogxggx84owggog8o88w76oigh0d4giakqe8goxrqqowg03ei88808oxaeg0g88gzwrh0hhrhxlhlxvvl0hh0valah0v0raa40hhwv4lavxee4hwaahh0aelrhhhvvhlarhhaaahr0eaa4z210105c431x11x243w11312322wsc391h0m419a5be213xrbb3w10oe9222023xae101221|b36s23|name=334P8H2V0|style=raw}}<ref name="post179555" />
| {{cells|334}}
|-
! [[c/5 orthogonal|c/5]]
| 5
| {{LinkCatagolue|xq5_0cthtcwcthtczsstg042240gtsszwd10777701d|b36s23|name=52P5H1V0|style=raw}}
| {{cells|52}}
|-
! [[c/6 orthogonal|c/6]]
| 6
| {{LinkCatagolue|xq6_o404e6owg04sy0guk0sc02r19102coy0ggo80go8e9ez0ha04wrhha4weweeahy1eaewrw4ewv0hwhawha4z3404ec3w1047y01f507608rgig0863y011320132eie|b36s23|name=179P6H1V0|style=raw}}<ref>{{LinkForumThread|f=11|t=376|p=25212|title=Re: Thread for Your Accidental Discoveries that Aren't in CGOL|author=velcrorex|date=November 19, 2015|format=raw}}, in which the first c/6 was found</ref>
| {{cells|179}}
|-
! [[c/8 orthogonal|c/8]]
| 8
| {{LinkCatagolue|xq8_r28w9qc0gggscow640auxocksw66zgy1mf0vpgg9gy19p0f9p9mg90fff9996zd41w953y0331w62057x1323w66|b36s23|name=138P8H1V0|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=59363|title=Re: HighLife|author=velcrorex|date=April 22, 2018|format=raw}}, in which the first c/8 was found</ref>
| {{cells|138}}
|-
! c/98
| 98
| {{LinkCatagolue|xq98_mgw4b6z31zsoz6x2d6|b36s23|name=24P98H1V0|style=raw}}
| {{cells|24}}
|-
! [[2c/5 orthogonal|2c/5]]
| 5
| {{LinkCatagolue|xq5_c9hg9fky1kf9gh9czx1305860685031zy0gfna040anfgz0oo81hc6x6ch18oozeafy9fae|b36s23|name=106P5H2V0|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=59382|title=Re: HighLife|author=velcrorex|date=April 23, 2018|format=raw}}, in which 106P5H2V0 was found</ref>
| {{cells|106}}
|-
! [[2c/7 orthogonal|2c/7]]
| 7
| {{LinkCatagolue|xq7_0g84ow595wo48gz7943y53497|b36s23|name=28P7H2V0|style=raw}}<ref>{{LinkForumThread|f=11|t=2332|p=64436|title=Re: HighLife|author=wildmyron|date=October 6, 2018|format=raw}}, in which the first 2c/7 was found</ref>
| {{cells|28}}
|-
|rowspan=4| diagonal
! [[c/4 diagonal|c/4]]
| 4
| [[glider]]<ref group="n">next smallest known are the [[crab]], [[wings]] and a {{LinkCatagolue|xq4_06344vt1ooz3156kh93|b36s23|name=29-cell ship|style=raw}} not compatible with Life</ref>
| {{cells|5}}
|-
! [[c/5 diagonal|c/5]]
| 5
| {{LinkCatagolue|xq5_4fhnc0gggzy2111eezy669rae|b36s23|name=28P5H1V1|style=raw}}{{refn|group=n|found by AforAmpere<ref>{{LinkForumThread|f=11|t=2332|p=59424|title=Re: HighLife|author=Sokwe|date=April 23, 2018|format=raw}}, in which AforAmpere's c/5d was noted</ref> is the only c/5d known and 27 half-diagonals wide; it is known that a thinner symmetrical one must be at least 23}}
| {{cells|28}}
|-
!rowspan=2| [[c/6 diagonal|c/6]]
| 6
| {{LinkCatagolue|xq6_yzy8go6p8t6zyzy4g0s7860h89qa44t6zyzgscavb071og0c8ib2521zyvgscb7a51y1ggi3zyp8g0n051y3mhk2621zym6c6rd0o1y1g0oi8zyiosx78o0a1356ae6331zycg819701324n15d3w1221zy96064452468cce255zy2cine3hs3b9i22s11z228e13566gg0rwo321zy2130rf2o03zy5111|b36s23|name=311P6H1V1|style=raw}}{{refn|group=n|first found in <ref>{{LinkForumThread|f=11|t=2332|p=166169|title=Re: HighLife|author=LaundryPizza03|date=September 1, 2023|format=raw}}, in which the first true-period c/6d was found at w22glide</ref> due to <ref>{{CiteDiscord|channel=naturalistic|id=826943901427826688|author=apgoucher|date=May 31, 2021}}, in which c/6d's were disproven up to logical width 10</ref>, it is the thinnest possible the program used to find this wasn't stated, if it was ikpx2 it may not be the shortest example}}
| {{cells|311}}
|-
| 48
| [[#Bomber|bomber]]
| {{cells|19}}
|-
|}
==== Engineered ====

{| class="wikitable"
|-
! Direction
! Speed
! Smallest known
! Minimum # of [[cell]]s
|-
|rowspan=12| diagonal
! 2c/15
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=100#p141744 unnamed]
| 22773
|-
! c/9
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=75#p133030 unnamed]
| 2151
|-
! c/10
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=75#p113054 unnamed]
| 2850
|-
! [[c/12 diagonal|c/12]]
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=100#p154161 unnamed]
| 458
|-
! c/18
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=25#p53404 unnamed]
| 280
|-
! c/22
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=100#p150834 unnamed]
| 13326
|-
! c/24
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=75#p106192 unnamed]
| 1194
|-
! c/30
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=25#p52577 unnamed]
| 353
|-
! c/32
| basilisk<ref name="pd201301" />
| 117483
|-
! c/42
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=2332&start=100#p150619 unnamed]
| 891
|-
! c/63
| basilisk<ref name="pd201301" />
| ?
|-
! c/69
| basilisk<ref name="pd201301" />
| 859 billion
|-
|}
{{EmbedViewer
|rle = x = 2722, y = 937, rule = B36/S23
3o4b3o13b3o11b3o12b3o13b2o10b2o7b3o4b3o12bo16b2o13b2o13b2o4b3o5bo35bo
62bo928b2o373bo834bo$o2bo3bobo13bobo9b3o29bob2o8b2obo27bobo14bo2bo11b
2obo11bob2o5bo3b4o34b2o60bo3b3o923b2o374b2o831b2o$o6b3o13b3o8bo3b2o8b
o3bobo3bo8bo14bo5b2ob2o2b2ob2o5b3obo3bob3o9bo2bo13bo13bo6bo4bo3bo33bo
bo66bo1297b2o826bo4b2ob2o$o8bo13bo5b2ob2o3bob3o5bobo3bo3bobo6bo5bo4bo
5bo4b2ob2o2b2ob2o4bo2bo7bo2bo8bo2bo39b3obo34b3o65bo2124bo7bo2bo$bobo4b
2o2bo7bo2b2o4b2o9bobo3bo2bo7bo2bo5bobo3b6o3bobo5b3o4b3o6b3o7b3o9b4o41b
2o97bo2bo2bo925bo3bobo1199b2o3bo$8b3o2bo5bo2b3o3bo2bo2b2o4bobo2b2obo9b
ob2o10bo4bo11bo8bo8bo2bobo2bo7b2o2b4o2b2o11b2o7b2o46b3o65bo930bobo3b2o
1191bo2b2obob2o2b2o$13b2o3b2o14b2o9bo2bo9bo2bo11bo2bo16b2o12b3o3b3o7b
2o2b4o2b2o8b2ob3o5b3ob2o14b2o28bobo64bo930bobo3bo1198bo$14bo3bo26bobo
11bobo12b2o11b3o2bo2bo2b3o7bo5bo59b2o29b2o65b3o3bo924bo350bo847bo4bo$
11b2o7b2o24bo13bo26b3o8b3o26bo2bo43b2o30bo70bo907bo364bo3bo848bo2bo$11b
obo5bobo65b4o6b4o6bobo3bobo8b3o4b3o42b3o1006b2o363bo3bo$12bobo3bobo68b
2ob4ob2o8b2o5b2o8bobob2obobo42b3o2b2o1002bobo362bob6o$12b2o2bo2b2o71b
4o12b7o9b2obo2bob2o46bo2bo20bo981b3o365bo$12b3o3b3o68bo2b4o2bo9bo5bo10b
3o2b3o47b2ob2o19bo1341b3o5bo$12b2o5b2o68bo8bo28bo2bo50bobo20bo83b3o889b
3o$110b3o14b4o50b3o103bo2bo890bobo364bo5b3o$14bo3bo92bo178bo891b2o364b
o$13bobobobo103b5o2b5o151bo3bo886bo5bo361b6obo$11bo3bobo3bo85b2o5b2o7b
obobo2bobobo155bo886b2o17bo351bo3bo$10b2obo5bob2o83b2ob2ob2ob2o170bob
o887bobo16b2o350bo3bo$9b2o2bo5bo2b2o81bo11bo6bo8bo1044b3o15bobo349bo842b
3o$7b2o2b2o7b2o2b2o97b2o8b2o1062b3o1191bo2bo$7bo4b2o5b2o4bo78bo5b3o5b
o151bo901b3o1216bo3bo$12bo7bo83bo2bo2bobo2bo2bo150bo3b3o897bobo15b3o1198b
o2bo$8b2ob2o7b2ob2o79bo5b3o5bo6b2o4b2o143bo897b2o16bobo343bo854b3o$104b
2ob2o5b2ob2o5b2obo2bob2o142bo898bo17b2o339bo3bo$105bo11bo6b3o4b3o136b
o2bo2bo917bo339bo3bo$126bo4bo138bo1263bob6o$106b2o7b2o9b2o2b2o138bo892b
3o372bo844b3o$106b3o5b3o9b6o139b3o3bo1260bo844bo2bo$109bo3bo162bo2106b
o3bo$106bobobobobobo7b2ob4ob2o1404b3o843bo2bo$105b4ob3ob4o5bob2ob2ob2o
bo2250b3o$108bob3obo7bo2bo6bo2bo103bo$238bo3b3o$245bo$110b3o12bo6bo112b
o$123bo10bo104bo2bo2bo$106b3o5b3o5b2ob2o4b2ob2o103bo14bo$106bo4bo4bo122b
o13bo3b3o$110bobo127b3o3bo13bo$108b2o3b2o130bo14bo909b3o$109bo3bo140b
o2bo2bo$109b2ob2o140bo$107b2o5b2o138bo1320b3o789b3o$105b2o9b2o137b3o3b
o949bo363bo2bo788bo2bo$105b3o3bo3b3o142bo47bo901b3o362bo791bo3bo$106b
o9bo192bo900bob2o361bo3bo33bo754bo2bo$110bobo194b3o901b3o361bo38b2o753b
3o$106bo2bo3bo2bo1094b3o21bobo338bobo34b2o$107b2o5b2o1095b2o23b2o$1236b
o$241bo2117b3o$241bo1264b3o850bo2bo$241bo2117bo3bo$1508bo851bo2bo$1508b
o852b3o$1505b6obo$1508bo3bo$1508bo3bo$1508bo5$207bo$206bo3b3o$213bo$213b
o2129b3o$207bo2bo2bo2129bo2bo$207bo2135bo3bo$207bo2136bo2bo$208b3o3bo
1275bo854b3o$213bo1272bo3bo$1486bo3bo$1486bob6o926b3o$1490bo844b3o81b
o2bo$1490bo844bo2bo83bo$2335bo3bo78bo3bo$1490b3o843bo2bo82bo$2337b3o79b
obo$191bo$190bo3b3o$197bo$197bo$191bo2bo2bo$191bo$191bo$192b3o3bo$197b
o2136bo$2333b3o$2332b2ob2o$2333b2ob2o$1263bobo200b3o182bo682b2ob2o$304b
3o957b2o386b2o681b3o$303bo2bo957bo203bo182b2o683bo$306bo1161bo$302bo3b
o1158b6obo$306bo1161bo3bo$303bobo1162bo3bo$1468bo4$1458bo$1454bo3bo859b
o$1454bo3bo858b3o$1208b2o244bob6o854b2ob2o$1207b2o249bo858b2ob2o$1208b
2obo7bo238bo859b2ob2o$340bo868b3o6b3o1098b3o$341bo868bo7bob2o236b3o859b
o$339b3o877b3o$1219b3o$1219b2o$2357bo$2358bo$2356b3o4$2302bo$2301b3o$
1192bo1107b2ob2o$1191b3o385b3o719b2ob2o$1191bob2o384bo2bo719b2ob2o$1194b
2o383bo723b3o$1193b2o384bo3bo720bo$1579bo$1580bobo711bo$2293b3o$137b2o
2bo2150b2ob2o$136bo4bo2151b2ob2o$136bo4bo1284b3o865b2ob2o$140b5o2150b
3o$139bobo2154bo$136b5o$139bo4bo1146bobo131b2o859bo84bo$139bo4bo1147b
2o138bo852b3o84bo$139bo2b2o1148bo136bo2bo256bo594b2ob2o81b3o$1429bo260b
2o593b2ob2o$160bo1269b2o257b2o595b2ob2o$161b2o1267bo856b3o$160b2o2126b
o11$115b3o4$1182bo$119bo1063bo$117bo3bo1059b3o$1157b3o1102bo$116bo5bo
1034bo2bo1100b3o$1157bo3bo1098b2ob2o163b3o$117bo3bo1036bo2bo1099b2ob2o
161bo2bo$119bo1039b3o1100b2ob2o163bo$2263b3o160bo3bo$2264bo165bo$2427b
obo$2254bo$2253b3o$2252b2ob2o140bo$2253b2ob2o140bo$1227bo1026b2ob2o137b
3o$320b3o49bo853b3o1026b3o$319bo2bo50bo852bob2o1026bo$322bo48b3o853b3o
$318bo3bo818b3o83b3o$322bo818bo2bo82b2o$319bobo819bo3bo$1142bo2bo$1143b
3o3$1298b3o$1301bo425bo$1140bo155bobo3bo425b2o$1140bo162bo423b2o$1140b
o153bobo7bo$1297bo6bo$1292bobo3bo3bobo$1299bo$1290bobo7bobo$1293bo1117b
o$1288bobo3bo3bobo1111bo$1295bo1114b3o$1286bobo7bobo$1289bo$1284bobo3b
o3bobo$1284bo6bo$1284bo7bobo$1285bo936bo$1210bo75bo3bobo928b3o$1211bo
75bo932b2ob2o$1209b3o76b3o292b3o635b2ob2o$192bo1390bo2bo635b2ob2o$193b
2o1388bo639b3o$192b2o1389bo3bo636bo$1583bo$1584bobo8$1267b3o$1267bo2b
o$1267bo3bo$1268bo2bo939b3o$1263b3o3b3o$1263bo2bo$1263bo3bo$1264bo2bo
$1265b3o2$2437bo$2438bo$2416b2o18b3o$2418bo$1765bo649bob2o$1766b2o645b
3o2b2o$1765b2o652b3o$2411bo8bobo$2422bo$2409bobo3bo3b2o$1235bo1183bo$
404bo829b3o1170bo11bo$405bo828bob2o$403b3o829b3o1167bobo3bo3bobo$1235b
3o$1235b2o1166bo11bo$2403bo$2402b2o3bo3bobo$2400bo$2400bobo8bo$2401b3o
$2403b2o2b3o$2404b2obo$2404bo$2405b2o29b3o$2435bo2bo$2392b2o44bo$336b
3o2055bo39bo3bo$335bo2bo2052bob2o43bo$338bo2050b3o2b2o39bobo$334bo3bo
2056b3o$338bo874bo1173bo8bobo$335bobo874b3o1172bo10bo$1211b2ob2o1170b
2o3bo3b2o$1212b2ob2o1167bo10bo$1209bo3b2ob2o1166bobo8bo$1208b3o3b3o1168b
3o$1207b2ob2o3bo1171b2o2b3o$1208b2ob2o1175b2obo$1209b2ob2o1174bo$1210b
3o1176b2o$1211bo$224bo$225b2o$224b2o2151bo$2377b2o$1196bo1178b2ob2o$1196b
o1183bo$1196bo1176bobo5bo$2381b2o$1803bo567bobobo6b2o$1804b2o570bo4bo
$1803b2o564bobo5bobobo2$2367bobobo5bobo$2372bo$2365bobo5bobobo99bo$1587b
3o888bo$1587bo2bo772bobobo5bobo100b3o$1587bo775bo4bo$1587bo3bo769b2o6b
obobo$1587bo774b2o$1588bobo772bo5bobo$2364bo$2365b2ob2o$2366b2o$2367b
o9$436bo$437bo$435b3o17$2330b2o$2332bo$1841bo487bob2o$1842b2o483b3o2b
2o$1841b2o490b3o$2325bo8bobo$2325bo10bo$2324b2o3bo3b2o$2322bo10bo$2322b
obo8bo$2323b3o$2325b2o2b3o$256bo2069b2obo$257b2o93b3o1971bo$256b2o93b
o2bo1972b2o$354bo$350bo3bo$354bo$351bobo1961bo128b3o70bo$2315b2o126bo
2bo71bo$2313b2ob2o128bo69b3o$2318bo123bo3bo$2311bobo5bo126bo$2319b2o122b
obo$2309bobobo6b2o$2309bo4bo4bo$2307b2o6bobobo$2308b2o$2309bo5bobo$2310b
o$2311b2ob2o$2312b2o$2313bo10$2291bo$1591b3o697b2o$1591bo2bo694b2ob2o
$468bo1122bo702bo$469bo1121bo3bo691bobo5bo$467b3o1121bo703b2o$1592bob
o284bo405bobobo6b2o$1880b2o403bo4bo4bo$1879b2o402b2o6bobobo$2284b2o$2285b
o5bobo$2286bo$2287b2ob2o$2288b2o$2289bo18$2557bo$2558bo$288bo2267b3o$
289b2o$288b2o4$2251bo$2251b2o$2249b2ob2o$2254bo$2247bobo5bo$2255b2o$2245b
obobo6b2o$2245bo4bo4bo$2243b2o6bobobo$2244b2o$2245bo5bobo$368b3o1875b
o$367bo2bo1876b2ob2o$370bo1877b2o$366bo3bo1878bo$370bo$367bobo6$1887b
3o$1887bo2bo$1887bo3bo560b3o$1888bo2bo559bo2bo$1889b3o562bo$500bo1949b
o3bo$501bo1952bo$499b3o1949bobo$1879b3o$1879bo2bo$1879bo3bo$1880bo2bo
$1881b3o6$1868b3o$1595b3o270bo2bo$1595bo2bo269bo3bo$1595bo273bo2bo$1595b
o3bo270b3o$1595bo607bobo7bobo$1596bobo602b5o8bo$2200bobobo$2200b4o393b
o$2598bo$2596b3o3$2206bo$2207b2o$2206b2o3$320bo$321b2o$320b2o7$2180b3o
$2183bo$2178bobo3bo$2185bo$2176bobo7bo$1836b3o340bo6bo$1836bo2bo334bo
bo3bo3bobo$1836bo3bo333bo6bo$1837bo2bo333bo7bobo$1838b3o334bo$2176bo3b
obo$2177bo$2178b3o9$1820b3o$1820bo2bo$1820bo3bo$384b3o145bo1288bo2bo331b
3o$383bo2bo146bo1288b3o334bo$386bo144b3o1620bobo3bo$382bo3bo1774bo$386b
o1765bobo7bo$383bobo1769bo6bo$2150bobo3bo3bobo$2150bo6bo$2150bo7bobo$
2151bo$2152bo3bobo$2153bo$2154b3o$2637bo$2638bo$2636b3o3$2246bo$2247b
2o$2246b2o$1796b3o661b3o$1796bo2bo659bo2bo$1796bo3bo661bo$1797bo2bo331b
3o323bo3bo$1798b3o334bo326bo$2130bobo3bo322bobo$2137bo$2128bobo7bo$1788b
3o340bo6bo$1599b3o186bo2bo334bobo3bo3bobo$352bo1246bo2bo185bo3bo333bo
6bo$353b2o1244bo189bo2bo333bo7bobo$352b2o1245bo3bo186b3o334bo$1599bo528b
o3bobo$1600bobo526bo$2130b3o5$2125bo$2125bo$2125bo4$542b2o$542b2o4$548b
o$548b2o$546b2ob2o$546bo4bo$544b2o6bo$545b2o5b2o$546bo6b2o$547bo4bo$540b
o7b2ob2o$540b2o7b2o1205b3o$538b2ob2o7bo1205bo2bo$526b2o10bo4bo1207b2o
3bo3bo$526b2o8b2o6bo1205b2o5bo2bo$537b2o5b2o1205b2obo3b3o$538bo6b2o1205b
3o$539bo4bo1208bo$540b2ob2o$541b2o2134bo$542bo2135bo$2676b3o3$2286bo$
2287b2o$2286b2o3$510b2o9bo$400b3o107b2o9bo$399bo2bo118bo$402bo$398bo3b
o$402bo$399bobo2$1727bo$1726b3o$1726bob2o21bo$1729b2o19b3o$1728b2o19b
2ob2o$1750b2ob2o$1751b2ob2o$1752b3o$384bo109b2o1223b2o32bo$385b2o107b
2o1222b2o$384b2o1333b2obo$1720b3o$1721bo6$1735bo$1734b3o$1733b2ob2o$1734b
2ob2o$1735b2ob2o728b3o$1603b3o130b3o728bo2bo$1603bo2bo96bo33bo732bo$1603b
o98b3o761bo3bo$1603bo3bo94bob2o764bo$1603bo101b2o760bobo$1604bobo97b2o
$1726bo$1725b3o$1724b2ob2o$464b2o1259b2ob2o$463b2o1261b2ob2o$464b2obo
1259b3o$465b3o1260bo$466bo2$2717bo$2718bo$1687b2o1027b3o$1686b2o$1687b
2obo$1688b3o635bo$1689bo637b2o$1710bo615b2o$1709b3o$1708b2ob2o$1679bo
29b2ob2o$1678b3o29b2ob2o$1678bob2o29b3o$1681b2o29bo$1680b2o2$1699bo$1698b
3o$1671b2o24b2ob2o$1670b2o26b2ob2o$1671b2obo24b2ob2o$1672b3o25b3o$1673b
o27bo2$1691bo$1690b3o$1689b2ob2o$1690b2ob2o$1691b2ob2o$1692b3o$1693bo
4$416bo1238bo$417b2o1235b3o$408b2o5bo2bo1235bob2o$408b3o4bo2bo1238b2o
$408b2o8bo1237b2o$416b2o$2717b3o$2717bo2bo$2717bo3bo$415b3o2300bo2bo$
413b2obo2302b3o$413b2ob2o3$1667bo$1666b3o$1665b2ob2o$1666b2ob2o$392b3o
1272b2ob2o$392bo2bo1272b3o$392bo3bo1272bo$393bo2bo$394b3o2$1631b2o$1630b
2o$1631b2obo$1632b3o731bo$1633bo733b2o$2366b2o$2693b3o$1607b3o1083bo2b
o$1607bo2bo1082bo3bo$1607bo1086bo2bo$376b3o1228bo3bo1083b3o$376bo2bo1227b
o$376bo3bo1227bobo$377bo2bo2303b2o$378b3o2095b3o204b2o$369b3o2103bo2b
o205b2obo$1615bo862bo206b3o$1614b3o857bo3bo207bo$1614bob2o860bo$1617b
2o856bobo$1616b2o2$372b3o$372bobo$372b3o5$2668bo$1627bo1039b3o$1626b3o
1038bob2o$1625b2ob2o1040b2o$1626b2ob2o1038b2o$1593bo33b2ob2o$1593b2o33b
3o$1589bo3bobo33bo$1589bo4b3o1063b2o$2659b2o$2660b2obo$2661b3o$1593b2o
1067bo4$2652bo$2651b3o$1578b2o1071bob2o$2654b2o$2653b2o2$1576b3o4bo$1577b
obo3bo$1578b2o1059b2o$1579bo1058b2o$2639b2obo$1587b3o1050b3o$1586bo3b
o1050bo$1569bo16bo4bo$1569b2o15bo2bo2bo813bo$1565bo3bobo15bo4bo814b2o
$1565bo4b3o15bo3bo813b2o223bo$1589b3o1038b3o$2630bob2o$2633b2o$1569b2o
1061b2o6$1554b2o4$1552b3o4bo$1553bobo3bo$1554b2o$1555bo2$1563b3o$1562b
o3bo$1545bo16bo4bo$1545b2o15bo2bo2bo$1541bo3bobo15bo4bo$1541bo4b3o15b
o3bo1033b2o$1565b3o1033b2o$1538b2o1062b2obo$2603b3o$1545b2o1057bo2$1536b
3o4bo$1537bobo3bo$1538b2o1054bo$1539bo1053b3o$2593bob2o$2596b2o$2595b
2o4$2581b2o$2484b3o93b2o$2483bo2bo94b2obo$1539b3o944bo95b3o$1538bo3bo
939bo3bo96bo$1538bo4bo942bo$1538bo2bo2bo938bobo$1539bo4bo$1540bo3bo$1541b
3o2$1531b3o$1530bo3bo$1513bo16bo4bo$1513b2o15bo2bo2bo909bo$1509bo3bob
o15bo4bo910b2o$1509bo4b3o15bo3bo909b2o$1533b3o2$1523b3o$1513b2o7bo3bo
$1522bo4bo$1522bo2bo2bo$1523bo4bo$1524bo3bo$1525b3o2$1515b3o$1514bo3b
o$1514bo4bo$1514bo2bo2bo$1515bo4bo$1516bo3bo$1517b3o1024b2o$1490b2o$2550b
2o3$1490bo4bo$1490bo4bo2$1482bo4bo$1482bo4bo$1499b3o$1498bo3bo$1498bo
4bo$1486b2o10bo2bo2bo$1499bo4bo$1500bo3bo1023bo$1501b3o1023b3o$2527bo
b2o$2530b2o$1471b2o1056b2o4$1469b3o4bo1043b2o$1470bobo3bo1042b2o$1471b
2o1047b2obo$1472bo10b3o1035b3o$1482bo3bo1035bo$1482bo4bo$1482bo2bo2bo
$1483bo4bo$1484bo3bo1023bo$1485b3o1023b3o$2511bob2o$2514b2o$2513b2o2$
2486bo$2487b2o$2486b2o16b2o$2503b2o$2504b2obo$2505b3o$1456bo1049bo$1456b
o$1456bo2$2496bo$2495b3o$2480b3o12bob2o$2480bo2bo14b2o$2480bo3bo12b2o
$2481bo2bo$2482b3o3$1462bo$1462bo1009b3o$1462bo1009bo2bo$2472bo3bo$2473b
o2bo$2474b3o4$2464b3o$2464bo2bo$2464bo3bo$2465bo2bo$2466b3o28$2432b3o
$2432bo2bo$2432bo3bo$2433bo2bo$2434b3o4$2424b3o$2424bo2bo$2424bo3bo$2425b
o2bo$2426b3o4$2416b3o$2416bo2bo$2416bo3bo$2417bo2bo$2418b3o9$2401b3o!
|viewerconfig = #C [[ GPS 30 ]]
|position = center
|caption = A collection of these spaceships
|style = width:300px;
}}
====Bomber====
{{main|OCA:HighLife/Bomber}}
{{disambiglink|name=bomber|link=Bomber|text=For other uses of the term}}
The '''bomber''' is a replicator-based spaceship that occurs naturally and was discovered by Nathan Thompson. It can be formed by placing a [[blinker]] in the path of the replicator as shown below. The spaceship itself has a [[period]] 48 and travels diagonally at [[speed]] c/6. The blinker reacts with one of the spawned replicators such that it destroys itself and the spawned replicator while leaving another blinker on the other side of the spaceship. It is thus a [[glide symmetric]] spaceship with [[mod]] equal to 24. It is the 3rd most common spaceship in HighLife, being slightly more common than the [[middleweight spaceship]].<ref>{{CiteCatagolue|page=census/b36s23/C1|title=Census|accessdate=July 3, 2019}}</ref>
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = bomber
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 18 GPS 6 AUTOSTART TRACKLOOP 48 1/6 1/6 ]]
|position = center
|caption = The bomber
|style = width:300px;
|apgcode = xq48_07z8ca7zy1e531/b36s23
}}}}
{{gallery item|{{EmbedViewer
|pname = bomberpredecessor
|viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 30 ]]
|position = center
|caption = A 9-cell predecessor of the bomber
|style = width:300px;
}}}}
{{gallery bottom}}

==Universality==
There is a proof sketch of this rule's universality as well as an explicit {{rl|Rule 110}} [[unit cell]].<ref name="post62446" /> In the same topic on ConwayLife forums, there is a proof-scheme covering all rules in the [[outer-totalistic]] [[rulespace]] between [[B3/S23]] and B3678/S23678.<ref name="post38167" />

An explicit Rule 110 unit cell construction proves its Turing-completeness;<ref name="post62217" /> the pattern itself is a polyglot working in three other Life-like cellular automata rules between B36/S23 and B368/S238; the last rule is also known as {{rl|LowDeath}}, in which the native replicator - of which several components of the unit cell based on - has a slightly different evolution sequence.

==Patterns with their own pages==
* [[OCA:HighLife/Replicator]]
* [[OCA:HighLife/p7]]
* [[OCA:HighLife/p10]]
* [[OCA:HighLife/p24 shuttle]]

==See also==
* [[OCA:HighLife/List of common oscillators]]
* [[OCA:HighLife/List of common spaceships]]
* [[OCA:Virus]] (B36/S235)

==Notes==
<references group="n" />
==References==
<references>
<ref name="post62446">{{LinkForumThread
|format = ref
|p = 62446
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 7, 2018
}}</ref>
<ref name="post38167">{{LinkForumThread
|format = ref
|p = 38167
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = December 12, 2016
}}</ref>
<ref name="post62217">{{LinkForumThread
|format = ref
|p = 62217
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = July 29, 2018
}}</ref>
<ref name="pd201301">{{LinkGoLNews|2013/01/new_highlife_velocities.html|title=New HighLife velocities|author=Adam P. Goucher|date=January 19, 2013}}</ref>
</references>

== External links ==
* {{LinkWikipedia|Highlife_(cellular_automaton)}}
* {{LinkCatagolueRule|b36s23}}
* {{LinkEppsteinRule|b36s23|archivedate=20150422142748}}
* {{LinkMirek|rullex_life.html#HighLife|title=MCell built-in Life rules: HighLife}}
* {{LinkForumThread|f=11|t=2332|title=HighLife}}
* {{LinkGoLNews|2013/01/new_highlife_velocities.html|title=New HighLife velocities|author=Adam P. Goucher|date=January 19, 2013}}

[[Category:Life-like cellular automata]]

C/3 diagonal

2025-07-07T19:38:32Z

Roee.s: /* Star Trek */ grammar

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020 and also works in the 3 other [[outer-totalistic]] rules between B3/S024 and B38/S0248:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

C/3 diagonal

2025-07-06T16:16:39Z

Roee.s: /* Star Trek */ removed a comma

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020 and also works in the other 3 [[outer-totalistic]] rules between B3/S024 and B38/S0248:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

C/3 diagonal

2025-07-06T16:15:58Z

Roee.s: /* Star Trek */ added additional rules for the spaceship

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020, and also works in the other 3 [[outer-totalistic]] rules between B3/S024 and B38/S0248:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

OCA:Star Trek

2025-07-06T16:10:34Z

Roee.s: Fixed c/4 and c/5 links

{{Rule
|name = Star Trek
|b = 3
|s = 0248
|char = Stable
|ruleinteger = 141832
|reversal = B12357/S01234678
}}{{about|the outer-totalistic rule|the [[Generations]] rule|OCA:Star Wars}}{{stub}}
'''Star Trek''' is a [[Life-like cellular automaton]] with [[rulestring]] B3/S0248. Dead cells are born if they have 3 [[neighbour]]s and alive cells survive if they have no, 2, 4 or 8 neighbours.

==Patterns==
===Spaceships===
====Orthogonal====
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 22, y = 16, rule = B3/S0248
7bo6bo$6b2obo2bob2o$5bo4b2o4bo$4b3o2bo2bo2b3o$4b2o4b2o4b2o$3b3o3bo2bo
3b3o$2b2o2bo8bo2b2o$3bo3b2ob2ob2o3bo$2b2o2bo8bo2b2o$2bobob3o4b3obobo$
2bo3bo2bo2bo2bo3bo$b3ob2o8b2ob3o$4bo2bo6bo2bo$o3b2o10b2o3bo$3bo2bo8bo
2bo$2o3b2o8b2o3b2o!
|viewerconfig = #C [[ AUTOSTART GPS 2 THUMBSIZE 4 ZOOM 28 WIDTH 640 HEIGHT 560 TRACK 0 -1/2 ]]
|position = center
|caption = [[c/2]]
|style = width:300px;
|apgcode = xq2_5hgiclj8y28jlcigh5zwns20naa1881aan02snzx17fkg0laal0gkf71zy31y21/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 16, y = 17, rule = B3/S0248
6b4o$6bo2bo$5bo4bo$3b3ob2ob3o$2bo2bo4bo2bo$bo2b2o4b2o2bo$2bo2b2o2b2o2b
o$o14bo$4b2o4b2o$4b2o4b2o$3bo8bo2$3b2o6b2o$3b2o6b2o$2bobo6bobo$bobo8bo
bo$bo12bo!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 4 ZOOM 28 WIDTH 640 HEIGHT 560 TRACK 0 -1/3 Y 1/2 ]]
|position = center
|caption = [[c/3]]
|style = width:300px;
|apgcode = xq3_wf44gy0g44fzxdfay0afdz1468o43w34o8641zy23773/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 15, y = 86, rule = B3/S0248
7bo$4b3ob3o2$4bo5bo$2bob2o3b2obo$b3obo3bob3o$bobo3bo3bobo$2bo9bo$4bobo
bobo$3bo7bo$4b2o3b2o$5bo3bo2$2bo2bo3bo2bo$3b3o3b3o$2bob2o3b2obo$6bobo$
4b2o3b2o$2b3o5b3o$b2obobobobob2o$2o11b2o$2obo2bobo2bob2o$2b4o3b4o$bo4b
obo4bo$5b2ob2o$bo2b3ob3o2bo$4b2obob2o$3o2bo3bo2b3o$5b2ob2o2$6bobo$6bob
o$7bo2$6bobo$6bobo$6bobo$3bobo3bobo2$5bo3bo$2bob2o3b2obo$2bo2bo3bo2bo$
2b4o3b4o$5b2ob2o$b2o9b2o$2o11b2o$b2o9b2o$2bo9bo$o13bo$bo2bo5bo2bo$2b3o
5b3o$3bo7bo$b2o9b2o$2bob2o3b2obo$2b4o3b4o$b2ob2o3b2ob2o$2obo7bob2o$3b
2o5b2o$2bo3bobo3bo$obo3bobo3bobo$4bo5bo$4b2o3b2o2$2bo9bo$2bobo5bobo$3b
2o5b2o$4b2o3b2o$4bobobobo$6bobo$2b2o7b2o$2b4o3b4o2$5bo3bo$5b2ob2o$5bo
3bo$2bob2o3b2obo$3bobo3bobo$5bo3bo$2b2o7b2o$2b3o5b3o$bobo7bobo$b2o9b2o
$bobo7bobo$3bo7bo$2bobo5bobo$2b2o7b2o!
|viewerconfig = #C [[ AUTOSTART GPS 4 THUMBSIZE 4 ZOOM 20 WIDTH 560 HEIGHT 1820 TRACK 0 -1/4 ]]
|position = center
|caption = [[c/4 orthogonal|c/4]]
|style = width:300px;
|apgcode = xq4_0g0gkea4g8gw4ok0gsm3bs20ig7y58wk4s063641is86ksmbo45gg04kogg0csy0k80csa6a8kcz4rwhh40a0hh0hhhah0a0aharrlhr0aa40aaah0hhhhry5hhhwaa0hy0haa0h0hrhhhhz01015ea4121w435017doq78091sy52w5470coc4g972c57dq34k11045311067y052067aca256/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 12, y = 47, rule = B3/S0248
4b4o$2bo6bo$3obo2bob3o$obo6bobo$o2bo4bo2bo$bo8bo$bobo4bobo$4bo2bo$o3bo
2bo3bo$2o3b2o3b2o$2o3b2o3b2o2$5b2o$2b3o2b3o$b2o6b2o$2bo6bo$bobo4bobo$
4b4o2$2bobo2bobo3$4b4o$3b6o$2b8o2$o3bo2bo3bo$3bob2obo$2bo2b2o2bo$4bo2b
o$2b2o4b2o$2b2o4b2o2$4bo2bo$b2o6b2o$3bob2obo$b10o2$b2o6b2o$bo8bo$bo2bo
2bo2bo$bobo4bobo$bo3b2o3bo$4bo2bo$bobo4bobo$bo8bo$2bo6bo!
|viewerconfig = #C [[ AUTOSTART GPS 5 THUMBSIZE 4 ZOOM 20 WIDTH 560 HEIGHT 980 TRACK 0 -1/5 ]]
|position = center
|caption = [[c/5 orthogonal|c/5]], found by Rocknlol in 2020
|style = width:300px;
|apgcode = xq5_0m148gg841mz0f812w218fz05539339355zwbj4oo4jbz104ctsstc401zw40kggk04z05e98gg89e5ze6wo66ow6ezsjo5gwg5ojszw10222201/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 4, y = 5, rule = B3/S0248
b3o$b3o$o2bo$b2o$o!
|viewerconfig = #C [[ AUTOSTART GPS 6 THUMBSIZE 4 ZOOM 48 WIDTH 560 HEIGHT 560 TRACK 0 -1/6 ]]
|position = center
|caption = [[c/6 orthogonal|c/6]]
|style = width:300px;
|apgcode = xq6_5qqs/b3s0248
}}}}
{{gallery bottom}}

====Diagonal====
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
5b3o$3b2obob3o$2bo5b2o$bo4bo4bo$bo5bo4bob3o$o5b4ob4ob2o$2obob5o3bo$o3b
3o4bo2bob2o$b2o2b2o5bobo3bo$b2o2b2o5b2obob5o$bo18b2o$3bobobo7bob2o$4b
2o2b2o6bobo$5b2o2bo6b3o2bo$4b2ob2o6bo3bobo$4bo4bobo2bo2b3obo$4b2obo4b
2o$5bobobobobobo$8b2ob3obo$9bo4b2o$9b2o$9b2o2b3o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 4 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK -1/3 -1/3 ]]
|position = center
|caption = [[c/3d]], found by LaundryPizza03 in 2020
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 13, y = 14, rule = B3/S0248
5bo$3bo$2b2o2b2o$bobo3bo$2o$o8b3o$o2bo4b4o$2bo6bo$b2obo$4bob4o$4b3o2b3o$9bo$12bo$11b2o!
|viewerconfig = #C [[ AUTOSTART GPS 4 THUMBSIZE 4 ZOOM 36 WIDTH 560 HEIGHT 560 TRACK -1/4 -1/4 ]]
|position = center
|caption = [[c/4d]]
|style = width:300px;
|apgcode = xq4_318eo08uezxeb80gwhjg4zy13144621/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 89, y = 89, rule = B3/S0248
2b3ob3o$3b2ob3o$o5bo$2o7b2o$2o4bo3b3o$7bo3bobo$3obo3b2obo$2o3bo$2o4bo
6bo$3bo2bo6b2o$3b2o8b2obobo$4b3o6bo$4bo10b3o$5bo2b4o2bobo3bo$9b2o2bo2b
o2bobo$12bo5b2o2bo$10bob3o3bo3bo$12bo7b3obo$10bo4b2o3bo$14b2o4b2obo$
13bo3b3o3b2o3b2o$14bo2bobo3b2ob2o$15b3o7bo2bo$19b3o5bo2b2o$17bo2b2o9bo
$22bo8bo$21bo$21bobo8b3o$20bobo8bo$20bo$23bo7b3o$23b3o2bob2obo$27bo2bo
2b3o$27bo2b3ob2o$27bo4b3obo2bo$32b2o2bo$34b2ob2obo$36bo4bo$36bo3bo$34b
o6b3o$36bobo6bo$37bobob5o$39bobo3bo$39bobo6bo$41bo3bo$40b3obo2b2o$47bo
3b2o$45b2ob2obo$43bobobo2b3obobo$47bo8bo$48bo6bo$46b3o7bo$46bobo7b2o$
56bob3o$48bo11bo$50bo$48b2ob3o5bo$52bo8b2o$53bo7bo2bo$53bo2bo3b2ob2o$
53b2o4b2o3bo$57b3obo2b3obo$57bo10b3o$59bo6bob3obo$58b4o10bo$61bo$61bob
o7bo2bo$69bo3b2o$61b3o6bo$62b2o3bobobo$62b2o4bo6b2o$66bo2bo2b3o3bo$63b
2o6b3o2bobo$67bo3b3obo2bo$66b2o3bo5bo$70bo2bo2b2o3b2o$70bobo2bob2o4bo$
74b3o2bobo2bo$71b3o2bo4b2o2bo$77bo3bo$81b2o2bobo$75bob4o2b6o$75bo2bobo
4bo2bo$76bo4bo4bobo$77bo3bo3bo2bo$78bob3obo$81bobo$80b2o$81b4o!
|viewerconfig = #C [[ AUTOSTART GPS 5 THUMBSIZE 2 ZOOM 6 WIDTH 560 HEIGHT 560 TRACK -1/5 -1/5 ]]
|position = center
|caption = [[c/5d]], found by LaundryPizza03 in 2021
|style = width:300px;
|apgcode = xq5_so1330n338oggzee2g24o122030pgzx17a208oo80j94t41g8gzy6a072io8031sk7g4zy91244n1boo03342a518ozygo694y39444zyj3220s20ebpnscgwgzys11i2d220akggzyw121e0u222nw8zyz011181c4r548ea080ozyzy362ny21e488ozyzy522126qwgw2gs4gozyzya11w6irhiw32a0ecc0ozyzyiboqxg0k8i046zyzyj1540io120see295gezyzyr38a946dj240t9248zyzyw68i626p122na3uzyzyz105f9a9/b3s0248
}}}}
{{gallery bottom}}

==External links==
* {{LinkCatagolueRule|b3s0248}}
* [https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]

[[Category:Life-like cellular automata]]

OCA:Star Trek

2025-07-06T16:05:25Z

Roee.s: /* Spaceships */ Added speed links and fixed the c/3d catagolue link

{{Rule
|name = Star Trek
|b = 3
|s = 0248
|char = Stable
|ruleinteger = 141832
|reversal = B12357/S01234678
}}{{about|the outer-totalistic rule|the [[Generations]] rule|OCA:Star Wars}}{{stub}}
'''Star Trek''' is a [[Life-like cellular automaton]] with [[rulestring]] B3/S0248. Dead cells are born if they have 3 [[neighbour]]s and alive cells survive if they have no, 2, 4 or 8 neighbours.

==Patterns==
===Spaceships===
====Orthogonal====
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 22, y = 16, rule = B3/S0248
7bo6bo$6b2obo2bob2o$5bo4b2o4bo$4b3o2bo2bo2b3o$4b2o4b2o4b2o$3b3o3bo2bo
3b3o$2b2o2bo8bo2b2o$3bo3b2ob2ob2o3bo$2b2o2bo8bo2b2o$2bobob3o4b3obobo$
2bo3bo2bo2bo2bo3bo$b3ob2o8b2ob3o$4bo2bo6bo2bo$o3b2o10b2o3bo$3bo2bo8bo
2bo$2o3b2o8b2o3b2o!
|viewerconfig = #C [[ AUTOSTART GPS 2 THUMBSIZE 4 ZOOM 28 WIDTH 640 HEIGHT 560 TRACK 0 -1/2 ]]
|position = center
|caption = [[c/2]]
|style = width:300px;
|apgcode = xq2_5hgiclj8y28jlcigh5zwns20naa1881aan02snzx17fkg0laal0gkf71zy31y21/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 16, y = 17, rule = B3/S0248
6b4o$6bo2bo$5bo4bo$3b3ob2ob3o$2bo2bo4bo2bo$bo2b2o4b2o2bo$2bo2b2o2b2o2b
o$o14bo$4b2o4b2o$4b2o4b2o$3bo8bo2$3b2o6b2o$3b2o6b2o$2bobo6bobo$bobo8bo
bo$bo12bo!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 4 ZOOM 28 WIDTH 640 HEIGHT 560 TRACK 0 -1/3 Y 1/2 ]]
|position = center
|caption = [[c/3]]
|style = width:300px;
|apgcode = xq3_wf44gy0g44fzxdfay0afdz1468o43w34o8641zy23773/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 15, y = 86, rule = B3/S0248
7bo$4b3ob3o2$4bo5bo$2bob2o3b2obo$b3obo3bob3o$bobo3bo3bobo$2bo9bo$4bobo
bobo$3bo7bo$4b2o3b2o$5bo3bo2$2bo2bo3bo2bo$3b3o3b3o$2bob2o3b2obo$6bobo$
4b2o3b2o$2b3o5b3o$b2obobobobob2o$2o11b2o$2obo2bobo2bob2o$2b4o3b4o$bo4b
obo4bo$5b2ob2o$bo2b3ob3o2bo$4b2obob2o$3o2bo3bo2b3o$5b2ob2o2$6bobo$6bob
o$7bo2$6bobo$6bobo$6bobo$3bobo3bobo2$5bo3bo$2bob2o3b2obo$2bo2bo3bo2bo$
2b4o3b4o$5b2ob2o$b2o9b2o$2o11b2o$b2o9b2o$2bo9bo$o13bo$bo2bo5bo2bo$2b3o
5b3o$3bo7bo$b2o9b2o$2bob2o3b2obo$2b4o3b4o$b2ob2o3b2ob2o$2obo7bob2o$3b
2o5b2o$2bo3bobo3bo$obo3bobo3bobo$4bo5bo$4b2o3b2o2$2bo9bo$2bobo5bobo$3b
2o5b2o$4b2o3b2o$4bobobobo$6bobo$2b2o7b2o$2b4o3b4o2$5bo3bo$5b2ob2o$5bo
3bo$2bob2o3b2obo$3bobo3bobo$5bo3bo$2b2o7b2o$2b3o5b3o$bobo7bobo$b2o9b2o
$bobo7bobo$3bo7bo$2bobo5bobo$2b2o7b2o!
|viewerconfig = #C [[ AUTOSTART GPS 4 THUMBSIZE 4 ZOOM 20 WIDTH 560 HEIGHT 1820 TRACK 0 -1/4 ]]
|position = center
|caption = [c/4 orthogonal|c/4]
|style = width:300px;
|apgcode = xq4_0g0gkea4g8gw4ok0gsm3bs20ig7y58wk4s063641is86ksmbo45gg04kogg0csy0k80csa6a8kcz4rwhh40a0hh0hhhah0a0aharrlhr0aa40aaah0hhhhry5hhhwaa0hy0haa0h0hrhhhhz01015ea4121w435017doq78091sy52w5470coc4g972c57dq34k11045311067y052067aca256/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 12, y = 47, rule = B3/S0248
4b4o$2bo6bo$3obo2bob3o$obo6bobo$o2bo4bo2bo$bo8bo$bobo4bobo$4bo2bo$o3bo
2bo3bo$2o3b2o3b2o$2o3b2o3b2o2$5b2o$2b3o2b3o$b2o6b2o$2bo6bo$bobo4bobo$
4b4o2$2bobo2bobo3$4b4o$3b6o$2b8o2$o3bo2bo3bo$3bob2obo$2bo2b2o2bo$4bo2b
o$2b2o4b2o$2b2o4b2o2$4bo2bo$b2o6b2o$3bob2obo$b10o2$b2o6b2o$bo8bo$bo2bo
2bo2bo$bobo4bobo$bo3b2o3bo$4bo2bo$bobo4bobo$bo8bo$2bo6bo!
|viewerconfig = #C [[ AUTOSTART GPS 5 THUMBSIZE 4 ZOOM 20 WIDTH 560 HEIGHT 980 TRACK 0 -1/5 ]]
|position = center
|caption = [c/5 orthogonal|c/5], found by Rocknlol in 2020
|style = width:300px;
|apgcode = xq5_0m148gg841mz0f812w218fz05539339355zwbj4oo4jbz104ctsstc401zw40kggk04z05e98gg89e5ze6wo66ow6ezsjo5gwg5ojszw10222201/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 4, y = 5, rule = B3/S0248
b3o$b3o$o2bo$b2o$o!
|viewerconfig = #C [[ AUTOSTART GPS 6 THUMBSIZE 4 ZOOM 48 WIDTH 560 HEIGHT 560 TRACK 0 -1/6 ]]
|position = center
|caption = [[c/6 orthogonal|c/6]]
|style = width:300px;
|apgcode = xq6_5qqs/b3s0248
}}}}
{{gallery bottom}}

====Diagonal====
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
5b3o$3b2obob3o$2bo5b2o$bo4bo4bo$bo5bo4bob3o$o5b4ob4ob2o$2obob5o3bo$o3b
3o4bo2bob2o$b2o2b2o5bobo3bo$b2o2b2o5b2obob5o$bo18b2o$3bobobo7bob2o$4b
2o2b2o6bobo$5b2o2bo6b3o2bo$4b2ob2o6bo3bobo$4bo4bobo2bo2b3obo$4b2obo4b
2o$5bobobobobobo$8b2ob3obo$9bo4b2o$9b2o$9b2o2b3o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 4 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK -1/3 -1/3 ]]
|position = center
|caption = [[c/3d]], found by LaundryPizza03 in 2020
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 13, y = 14, rule = B3/S0248
5bo$3bo$2b2o2b2o$bobo3bo$2o$o8b3o$o2bo4b4o$2bo6bo$b2obo$4bob4o$4b3o2b3o$9bo$12bo$11b2o!
|viewerconfig = #C [[ AUTOSTART GPS 4 THUMBSIZE 4 ZOOM 36 WIDTH 560 HEIGHT 560 TRACK -1/4 -1/4 ]]
|position = center
|caption = [[c/4d]]
|style = width:300px;
|apgcode = xq4_318eo08uezxeb80gwhjg4zy13144621/b3s0248
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 89, y = 89, rule = B3/S0248
2b3ob3o$3b2ob3o$o5bo$2o7b2o$2o4bo3b3o$7bo3bobo$3obo3b2obo$2o3bo$2o4bo
6bo$3bo2bo6b2o$3b2o8b2obobo$4b3o6bo$4bo10b3o$5bo2b4o2bobo3bo$9b2o2bo2b
o2bobo$12bo5b2o2bo$10bob3o3bo3bo$12bo7b3obo$10bo4b2o3bo$14b2o4b2obo$
13bo3b3o3b2o3b2o$14bo2bobo3b2ob2o$15b3o7bo2bo$19b3o5bo2b2o$17bo2b2o9bo
$22bo8bo$21bo$21bobo8b3o$20bobo8bo$20bo$23bo7b3o$23b3o2bob2obo$27bo2bo
2b3o$27bo2b3ob2o$27bo4b3obo2bo$32b2o2bo$34b2ob2obo$36bo4bo$36bo3bo$34b
o6b3o$36bobo6bo$37bobob5o$39bobo3bo$39bobo6bo$41bo3bo$40b3obo2b2o$47bo
3b2o$45b2ob2obo$43bobobo2b3obobo$47bo8bo$48bo6bo$46b3o7bo$46bobo7b2o$
56bob3o$48bo11bo$50bo$48b2ob3o5bo$52bo8b2o$53bo7bo2bo$53bo2bo3b2ob2o$
53b2o4b2o3bo$57b3obo2b3obo$57bo10b3o$59bo6bob3obo$58b4o10bo$61bo$61bob
o7bo2bo$69bo3b2o$61b3o6bo$62b2o3bobobo$62b2o4bo6b2o$66bo2bo2b3o3bo$63b
2o6b3o2bobo$67bo3b3obo2bo$66b2o3bo5bo$70bo2bo2b2o3b2o$70bobo2bob2o4bo$
74b3o2bobo2bo$71b3o2bo4b2o2bo$77bo3bo$81b2o2bobo$75bob4o2b6o$75bo2bobo
4bo2bo$76bo4bo4bobo$77bo3bo3bo2bo$78bob3obo$81bobo$80b2o$81b4o!
|viewerconfig = #C [[ AUTOSTART GPS 5 THUMBSIZE 2 ZOOM 6 WIDTH 560 HEIGHT 560 TRACK -1/5 -1/5 ]]
|position = center
|caption = [[c/5d]], found by LaundryPizza03 in 2021
|style = width:300px;
|apgcode = xq5_so1330n338oggzee2g24o122030pgzx17a208oo80j94t41g8gzy6a072io8031sk7g4zy91244n1boo03342a518ozygo694y39444zyj3220s20ebpnscgwgzys11i2d220akggzyw121e0u222nw8zyz011181c4r548ea080ozyzy362ny21e488ozyzy522126qwgw2gs4gozyzya11w6irhiw32a0ecc0ozyzyiboqxg0k8i046zyzyj1540io120see295gezyzyr38a946dj240t9248zyzyw68i626p122na3uzyzyz105f9a9/b3s0248
}}}}
{{gallery bottom}}

==External links==
* {{LinkCatagolueRule|b3s0248}}
* [https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]

[[Category:Life-like cellular automata]]

C/3 diagonal

2025-07-06T15:59:50Z

Roee.s: Added a Star Trek section and improved some pattern viewers

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
|apgcode = xq3_233te/b3678s34678
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
|apgcode = xq3_26d3/b34s34
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACK 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==Star Trek==
[[Star Trek]] can support spaceships of many different speeds, including this c/3 diagonal found by LaundryPizza03 in 2020:
{{EmbedViewer
|rle = x = 22, y = 22, rule = B3/S0248
14b3o$11b3obob2o$12b2o5bo$10bo4bo4bo$5b3obo4bo5bo$4b2ob4ob4o5bo$8bo3b
5obob2o$4b2obo2bo4b3o3bo$3bo3bobo5b2o2b2o$5obob2o5b2o2b2o$2o18bo$3b2o
bo7bobobo$3bobo6b2o2b2o$o2b3o6bo2b2o$obo3bo6b2ob2o$ob3o2bo2bobo4bo$8b
2o4bob2o$6bobobobobobo$6bob3ob2o$6b2o4bo$11b2o$6b3o2b2o!
|viewerconfig = #C [[ AUTOSTART GPS 3 THUMBSIZE 3 ZOOM 32 WIDTH 840 HEIGHT 840 TRACK 1/3 -1/3 ]]
|position = center
|caption = c/3d Star Trek spaceship
|style = width:300px;
|apgcode = xq3_y1g0g8v3o8p5tzy0nt85kq021124oaq60ezgec1gts1xgc4o5gld466z3dg101b7jj0a636462zx11232111/b3s0248
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

C/3 diagonal

2025-07-04T12:40:42Z

Roee.s: added rules clarification

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 [[outer-totalistic]] rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more [[outer-totalistic]] rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

C/3 diagonal

2025-07-04T12:38:45Z

Roee.s: Butterfly name reference

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
}}
The butterfly<ref name="butterfly" /> is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
<ref name="butterfly">{{LinkCatagolue|xq3_233te|b3678s34678|name=butterfly (xq3_233te)|style=nobullet}}</ref>
</references>

OCA:Sqrt replicator rule

2025-07-04T11:39:49Z

Roee.s: /* Spaceships */ Added a link to c/3 diagonal

{{Rule
|name = B36/S245
|char = Stable
|b = 36
|s = 245
|ruleinteger = 26696
|reversal = B012578/S0134678
}}
The '''sqrt replicator rule''' or '''B36/S245''' is a [[Life-like cellular automaton]] in which [[cell]]s survive from one [[generation]] to the next if they have 2, 4, or 5 [[Moore neighbourhood|neighbours]] and are born if they have 3 or 6 neighbours. Before the end of 2023, this rule was commonly referred to by the inaccurate name '''logarithmic replicator rule''', due to its namesake object being misidentified.<ref name="post171752" />

The cellular automaton has [[rulestring]] B36/S245, and differs from the "nearby" {{rl|Move}} (B368/S245) in the lack of birth on 8 alive neighbours.
The time required to stabilize is generally much shorter than in [[Conway's Game of Life]].

On August 19, {{year|2020}}, [[Peter Naszvadi]] constructed a [[Rule 110]] [[unit cell]] in B36/S245, proving the rule [[Turing-complete]].<ref name="post102490" />

==Notable patterns==
===The replicator===
The name of this rule comes from an elementary [[replicator]] first discovered by [[Mark Niemiec]]. Unlike other replicators, (such as the one from {{rl|HighLife}}) this one does not reproduce itself [[clean]]ly, instead leaving oscillators behind which result in a more chaotic and slow growth pattern.<ref>{{cite web|url=https://www.ics.uci.edu/~eppstein/ca/replicators/b36s245.html|title=Replicators: B36/S245|author=David Eppstein|work=Replicators|accessdate=June 2, 2019}}</ref>

{{EmbedViewer
|pname = b36s245replicator
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The namesake replicator with <tt>Θ({{sqrt|t}})</tt> growth. It was initially assumed to have log(t) growth, leading to the incorrect and obsolete name.
|style = width:300px;
}}

Its behaviour can be emulated by the following pattern, discovered by AforAmpere on April 11, 2020 in an [[isotropic non-totalistic]] rule:<ref name="post94136" />

{{EmbedViewer
|rle = x = 3, y = 2, rule = B2a3eny4at/S01c2ci3i4e5e
bo$obo!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = A small replicator that emulates the one above
|style = width:300px;
}}

This emulates the <tt>4</tt>-state elementary cellular automaton in a range-<tt>1</tt> neighbourhood, with rule integer 508169473510261892743356039977344.

====Growth bounds====
Per the convention in [[OCA:Rule 120|Rule 120]], let <tt>b2(n)</tt> be the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number. (ie. <tt>1110 = 10112</tt>, so <tt>b2(11) = 10114 = 6910</tt>)<ref group="n">Sequence <tt>{{OEIS|A000695|tt=tt}}</tt> in the OEIS.</ref>

In AforAmpere's emulator shown above,
*the bottom edge increases to width <tt>1</tt> on generation <tt>2</tt>, then to width <tt>n</tt> on generation <tt>f(n) = 2*b2(n-1)+b2(⌊{{frac|n-1|2}}⌋)+5</tt>.
::(<tt>{{lim|n→∞|{{frac|f(n)|n2}}|lim inf}} = {{frac|3|4}}</tt>, <tt>{{lim|n→∞|{{frac|f(n)|n2}}|lim sup}} = {{frac|9|4}}</tt>)
*the top edge increases to width <tt>n</tt> on generation <tt>g(n) = 3*b2(⌊{{frac|n|2}}⌋+1)+6*b2(⌊{{frac|n+2-2⌊log2(n+2)⌋|2}}⌋)+2*(n [[Modular congruence|mod]] 2)+5</tt>.
::(<tt>{{lim|n→∞|{{frac|g(n)|n2}}|lim inf}} = {{frac|3|8}}</tt>, <tt>{{lim|n→∞|{{frac|g(n)|n2}}|lim sup}} = {{frac|3|4}}</tt>)
In the <tt>t</tt>th iteration, the pattern's total height has the asymptotic bounds <tt>2*{{sqrt|t}} < h(t) < {{frac|2*{{sqrt|5*t}}|{{sqrt|3}}}}</tt>.

The rule's original name stemmed from this asymptotic growth rate being interpreted as logarithmic in character, rather than square-root growth.

===Oscillators===
{|class="wikitable" style="text-align: center"
|{{LinkCatagolue|xs4_252|b36s245|name=4P1 (Block)|style=raw}}||{{LinkCatagolue|xp2_7|b36s245|name=3P2 (Blinker)|style=raw}}||{{LinkCatagolue|xp3_1eeeg|b36s245|name=11P3|style=raw}}||{{LinkCatagolue|xp4_37|b36s245|name=5P4.1 (rotating P-pentomino)|style=raw}} {{LinkCatagolue|xp4_165|b36s245|name=5P4.2 (rotating R-pentomino)|style=raw}} {{LinkCatagolue|xp4_163|b36s245|name=5P4.4 (rotating glider)|style=raw}}||{{LinkCatagolue|xp5_03ivko4z571|b36s245|name=20P5.1|style=raw}} {{LinkCatagolue|xp5_1eaujje2zx1|b36s245|name=20P5.2|style=raw}}||{{LinkCatagolue|xp6_5d18ba|b36s245|name=12P6|style=raw}}||{{LinkCatagolue|xp7_u11111uz1222221|b36s245|name=20P7|style=raw}} {{LinkCatagolue|xp7_gh3ro0cez31w664|b36s245|name=(statorless) 20P7|style=raw}}||{{LinkCatagolue|xp8_2j8kq4zw1|b36s245|name=(statorless) 12P8|style=raw}}||{{LinkCatagolue|xp9_sq5335qsz12566521|b36s245|name=32P9|style=raw}}||{{LinkCatagolue|xp10_w3ivko4z6271|b36s245|name=(trivial) 21P10|style=raw}} {{LinkCatagolue|xp10_xgotf7ez7efb1|b36s245|name=(statorless) 24P10|style=raw}}|| ||{{LinkCatagolue|xp12_2nlz13|b36s245|name=10P12|style=raw}} {{LinkCatagolue|xp12_07gqoz0tanz3b1s|b36s245|name=(statorless) 28P12|style=raw}} {{LinkCatagolue|xp12_fiifz4aa4zu99u|b36s245|name=(strictly volatile) 30P12|style=raw}}|| ||{{LinkCatagolue|xp14_0o8uc93z133|b36s245|name=17P14|style=raw}} {{LinkCatagolue|xp14_jddi0cjccciuz111x1|b36s245|name=32P14 (statorless, domino sparker)|style=raw}}||{{LinkCatagolue|xp15_7e92z2li0252z7342|b36s245|name=23P15|style=raw}}
|}
===Replicator hasslers===
{|class="wikitable" style="text-align: center"
|{{LinkCatagolue|xp119_y56960fzyjggz4kk4ye9aa9z1221zy8s0o4ozy81w1|b36s245|name=40P119|style=raw}}||{{LinkCatagolue|xp127_f6yh6fzy7888zogyhgoz31yh13|b36s245|name=27P127|style=raw}}||{{LinkCatagolue|xp204_263yds4oyeo4syd362z8coyd743ye347ydoc8|b36s245|name=44P204|style=raw}}||{{LinkCatagolue|xp408_yeu1vzyf11zzg8888gz111111yq6aaaa6zzzyhu2szyh321|b36s245|name=48P408|style=raw}}||{{LinkCatagolue|xp612_yhv1uzyh11zzz6aaaa6yuokkkkozzzzyiu1vzyj11|b36s245|name=48P612|style=raw}}||{{LinkCatagolue|xp816_233yev1uyba4azyh11|b36s245|name=22P816|style=raw}}||{{LinkCatagolue|xp1224_yjv1uzyj11zzzo8888oywokkkkoz01111zzzyio4szyi347|b36s245|name=48P1224|style=raw}}||{{LinkCatagolue|xp2040_03553yeu1vyaciuzyk11zzckkkkczyxg8888gzyx111111zzo8gyas4oz321ya743ye6556|b36s245|name=80P2040|style=raw}}
|}
===Spaceships===
The rule has known elementary spaceships of eighteen speeds (where those in '''bold''' have occurred [[natural]]ly, and ''italic'' seminaturally);
*orthogonal: [[c/2 orthogonal|'''c/2''']], [[c/3 orthogonal|''c/3'']], [[c/4 orthogonal|'''c/4''']], [[c/5 orthogonal|c/5]], [[2c/5 orthogonal|2c/5]], [[c/6 orthogonal|''c/6'']], [[c/7 orthogonal|c/7]], [[2c/7 orthogonal|2c/7]],<ref name="post179555" /> [[3c/8 orthogonal|3c/8]],<ref name="post183593" /> '''4c/23'''.
*diagonal: [[c/3 diagonal|c/3]], [[c/4 diagonal|c/4]],<ref>{{LinkEppsteinRule|b36s245|rulename=B36/S245|archivedate=20160310000536}}</ref> [[c/5 diagonal|c/5]],<ref name="post179555" /><ref name="post179561" /> [[c/6 diagonal|c/6]],<ref name="post179555" /> [[c/7 diagonal|'''c/7''']], [[c/8 diagonal|c/8]]
*knightwise: (2,1)c/5<ref name="post179555" /> and [[(2,1)c/6]].<ref name="post116552" />

Green means a spaceship has been proven to have minimal population via [[LLSSS]].
{|class="wikitable" style="text-align: center"
!type!!direction!!speed!!period!!first known!!discoverer!!minimal known!!discoverer
|-
|rowspan="31"|elementary||rowspan="22"|orthogonal||rowspan="8"|c/2||2|| || ||style="background: #80ff80;"|{{LinkCatagolue|xq2_2if6zacu|b36s245|name=17P2H1V0|style=raw}}||Nathan Thompson, 1994
|-
|4||{{LinkCatagolue|xq4_6ju88uj6z0mq88qmz4ke172z124cf4|b36s245|name=51P4H2V0|style=raw}}||unknown||{{LinkCatagolue|xq4_gghvj5c8zhq32264|b36s245|name=26P4H2V0|style=raw}}||DroneBetter, 2024
|-
|6|| || ||{{LinkCatagolue|xq6_017jlcozavk5134z95746u4zwf|b36s245|name=48P6H3V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|8|| || ||{{LinkCatagolue|xq8_8s5371z1qgtuiozw9ss9zw2dd2|b36s245|name=43P8H4V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|10|| || ||{{LinkCatagolue|xq10_g84e4nppn4e48gz21mdb7117bdm12z0uhry2rhuzx1qf33fq1zwcf851158fcz097rvhwhvr79zxbl7557lb|b36s245|name=156P10H5V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|12|| || ||{{LinkCatagolue|xq12_oclj71z4315kvaz4u64759zx854zwoaj5z0j949jzw313|b36s245|name=73P12H6V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|20|| || ||{{LinkCatagolue|xq20_8s5371z1qgtuiozw9ss9zw6776|b36s245|name=43P20H10V0|style=raw}}||Jason Summers, 2002
|-
|52|| || ||{{LinkCatagolue|xq52_8s5371x1735s8z1qgtuio0oiutgq1zw9ss9x9ss9zw6776x6776|b36s245|name=86P52H26V0|style=raw}}||Jason Summers, 2002
|-
|rowspan="3"|c/3||3||{{LinkCatagolue|xq3_6jrrj6z6h77h6|b36s245|name=28P3H1V0|style=raw}}||unknown||style="background: #80ff80;"|{{LinkCatagolue|xq3_1v33fmr33|b36s245|name=21P3H1V0|style=raw}}||Saka, 2015<ref name="post21408" />
|-
|6||{{LinkCatagolue|xq6_06jrrj6z06h77h6zgkukga8z0fsdiz04sg1z01okez6a7|b36s245|name=71P6H2V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />||{{LinkCatagolue|xq6_a6jei0iej6azx9k4k9zx4ne29z0615010f64|b36s245|name=57P6H2V0|style=raw}}||DroneBetter, 2024
|-
|9|| || ||{{LinkCatagolue|xq9_6jrrj6z6h77h6zmmoommz47o8n4z0g1l8z3b09umz07b394z02fvangz2f0ngz8o2bzgob4z1464gz04f1062zw12bs4|b36s245|name=154P9H3V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|rowspan="2"|c/4||4|| || ||style="background: #80ff80;"|{{LinkCatagolue|xq4_237066f|b36s245|name=13P4H1V0|style=raw}}||unknown
|-
|8|| || ||{{LinkCatagolue|xq8_k29m92kz0gkukgz0g2qizwv88zwmccjdzgg0ck8zlrh1j23zx6cz02r621z3563|b36s245|name=93P8H2V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|rowspan="2"|c/5||5||{{LinkCatagolue|xq5_xcfhhfczggestqqtseggzx5ljjl5zx78kk87zwoct99tcoz064op33po46zwpgdppdgpz02ddseesdd2zx9orro9z355lheehl553z01omn77nmo1z0cecdjjdceczy03553|b36s245|name=246P5H1V0|style=raw}}||unknown||{{LinkCatagolue|xq5_wcs3vxv3sczgc5vjy1jv5cgzw515rl0lr515|b36s245|name=69P5H1V0|style=raw}}||JMM, 2024
|-
|10|| || ||{{LinkCatagolue|xq10_wop7dd7pozx37pp73zxok33kozx13mm31z08gui77iug8zw40akka04z04qmhhhhmq4z099llnnll99z0clf4kk4flczwtdvwvdtzxf8448fz676hesseh676zc62h0110h26cz0136d44d631zw8geppeg8zwnapwpanzwfsbccbsfzxci44iczy111|b36s245|name=314P10H2V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|2c/5||5||{{LinkCatagolue|xq5_x3pgoy1ogp3zy0h86y168hzy0c62y126czx4a0m2x2m0a4zy0iulln0nlluizxo89f0vav0f98ozy09m6176716m9zy19ip6u6pi9zy1da26f62adzwgk8foy1of8kgzgkr01ioy1oi10rkgzw824d4gxg4d428zw4f2tg72g27gt2f4zx3af2innni2fa3zw4of33tsast33fo4zy2hljhjlhz09cc81033333018cc9|b36s245|name=380P5H2V0|style=raw}}||unknown||{{LinkCatagolue|xq5_y1gd8o6zw8nb7p2zxpsh4gzxgrv513ngz4v8eb832e9z0130jm16mzy07mihl9fzy14ccq2gsgqp5zy2gg7v7gq2zy224446651|b36s245|name=158P5H2V0|style=raw}}||DroneBetter, 2025
|-
|c/6||6|| || ||{{LinkCatagolue|xq6_daa6vgzckkov3z1x1|b36s245|name=32P6H1V0|style=raw}}||unknown
|-
|c/7||7|| || ||{{LinkCatagolue|xq7_42c888b2c68zy49999fz243111d4361|b36s245|name=44P7H1V0|style=raw}}||Evan Clark, 2006
|-
|rowspan="2"|2c/7||7||{{LinkCatagolue|xq7_x2gv55vg2zw3758dd8573z0sah4bwb4hasz043bhewehb34z23vkj2772jkv32zy1e99ezwgg8nlln8ggz01besa77aseb1zg7jgul22lugj7gz011ku8w8uk11zw3jqqooqqj3zxtqt33tqtz6n33la66al33n6z8ffct7oo7tcff8zx16j88j61zg463ivwvi364gz2b2hh0oo0hh2b2z0gi39q22q93igz0evmm4pp4mmvez8v6c789987c6v8zfag1hp99ph1gafzx303w303|b36s245|name=506P7H2V0|style=raw}}||lordlouckster, 2022<ref name="louckster_2c/7" />||{{LinkCatagolue|xq7_6a37n6ez01bqaogzwvu94aoszw8e3fsh9z04prvrk43mzwgh07pcr1zwjvh4o8zgkoiiu9hmu4zw4u955b1zwebpuq8zxecop1zxadvz0lq57oz0jsiufj1zw13o9gzx11dq8gzy1dqdo16zy2m41zwgo1qogzw1120q0jzy2mf6szy1gdao8z0c225vfz04prg4z024kkosozw44vi1zw4ap23zxghr2ezx2bub6zxs781z0oq4dogzw52gi51zx8jpgm24zx3o3hhzy0351|b36s245|name=423P7H2V0|style=raw}}||Darren Li, 2024<ref name="post183593" />
|-
|14|| || ||{{LinkCatagolue|xq14_gs4uij1fd0115mw5qz174f9pgum0ggkdwkb|b36s245|name=68P14H4V0|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|3c/8||8|| || ||{{LinkCatagolue|xq8_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|b36s245|name=1372P8H3V0|style=raw}}||Darren Li, 2024<ref name="post183593" />
|-
|4c/23||23|| || ||{{LinkCatagolue|xq23_1330osz466w1|b36s245|name=14P23H4V0|style=raw}}||unknown
|-
|rowspan="7"|diagonal||rowspan="2"|c/3d||3|| || ||{{LinkCatagolue|xq3_y31u94czx8gs2220o08db8kz6fcjh9e6a21zx1331|b36s245|name=60P3H1V1|style=raw}}||unknown
|-
|6|| || ||{{LinkCatagolue|xq6_ff4gm0hhrsgzckb8goucc28zy42h9fo976csczy5360bd9ou7g4q8080o0gzye67v265r3lq80gozye3441m8ob1psevt5oozyk1309faddj75p96acgzyq5efs7uug9me610skzyv2d9shnv12065dog8zyz1336to4s6vs1sgcozyzy218i6mvm17ns0ggzyzy910lrfnobqum84gzyzye25vq7jefc08o0gzyzyg113wa5ifs4skmzyzym2347c2bfn14oogzyzys27711utqcg0o6o8zyzyybunh7sk173og8zyzyz11014k0g25cfoockozyzyzy317nv93f45u76szyzyzy6301126670gos0ggc8gzyzyzyf8o6e1pls9pucgzyzyzyh134cfmf53ho4ksk8gzyzyzypfkec8h34fu088kzyzyzyr1133r2ub1b1t38o40gzyzyzyu10132hd97phiur4n2zyzyzyzw25d6157ppe6|b36s245|name=756P6H2V2|style=raw}}||Yujh, 2024
|-
|c/4d||4||{{LinkCatagolue|xq4_gjr22ij4kgz0229gnr8crg8gzy525juco7zy71|b36s245|name=60P4H1V1|style=raw}}||unknown||{{LinkCatagolue|xq4_vpp7714oogz102cs8g012113106zy1f4zy211|b36s245|name=46P4H1V1|style=raw}}||DroneBetter, 2024
|-
|c/5d||5||{{LinkCatagolue|xq5_ywg8gsmo92zyqgoveeomk052zyk80s4752g8ge7332zyhgjn1xg4k711zy9oo4o4apn98s70133zy7osa8gxkla1zy088uaa210ja6721011z847tw2524v47z111e19723|b36s245|name=184P5H1V1|style=raw}}||Josh Ball, 2015<ref name="post21342">{{LinkForumThread|f=11|t=1778|p=21342|title=Re: Move/Morley (245/368)|author=velcrorex|date=July 21, 2015|format=raw}}, in which the shortest w15s c/5d at (which is the smallest by population of the thinnest possible family) was found, polyglottic to B36/S245</ref>||{{LinkCatagolue|xq5_yvg0sokjma6czyvofuh3011zyogo48o272zyk4ce44bb011zyegoka3uk4q301zyag8g8dpbe9zy99l3zy4omju643zy0goe04111z0ggc6zeff3|b36s245|name=146P5H1V1|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|c/6d||6||{{LinkCatagolue|xq6_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|b36s245|name=718P6H1V1|style=raw}}{{refn|group=n|16 half-diagonals wide, 14 is disproven for a glide-symmetric so it is minimal is 718 cells, the smallest at width 16 is {{LinkCatagolue|xq6_gg0ahla0gz14ee8g9jpzy511kg7c7k8zy631248g4o546ozyd5a4cfsb6lzyf111041370k8c8zyo3rnhn88eacozyr5bdf1ckizyx12353cusa8cozyzw708eciid4m0g8oozyzy41k731gogftksggzyzy633femgs8jo128ozyzyb124510vbos08sog8gzyzyi95sos39ako80gzyzyn350vlkm6jwgzyzyu42rg4r8wgzyzyz675f3|b36s245|name=this one|style=raw}} by yujh<ref name="post189732" /> is 351}}||DroneBetter, 2024<ref name="post179555" />||{{LinkCatagolue|xq6_0g8sse16ozfv1f38e8oso8gz1y3flasic57zy4332|b36s245|name=64P6H1V1|style=raw}}||Yujh, 2024<ref name="post189732">{{LinkForumThread|f=11|t=1887|p=189732|title=Re: B36/S245|author=yujh|date=July 13, 2024|format=raw}}, in which the smallest known c/6d's of width 16 and 18 were found (with rlifesrc)</ref>
|-
|c/7d||7|| || ||{{LinkCatagolue|xq7_137|b36s245|name=Jellyfish|style=raw}} (5P7H1V1)||[[Nathan Thompson]], 1994
|-
|c/8d||8|| || ||{{LinkCatagolue|xq8_4uabggoz131629hbwc0szy4j257s8ozybuuhqk2|b36s245|name=64P8H1V1|style=raw}}||DroneBetter, 2024<ref name="post183593" />
|-
|rowspan="2"|knightwise||(2,1)c/5||5|| || ||{{LinkCatagolue|xq5_9748oozw8g1q2ckozy23nunt4gzy425469zy93nic8zya12u88gzyd1ceuzyf3eh2cxozyg45m8x5apzyj11122s7swozyn2205efo0880gzyt2majgpa2gzyv1013d8hf884kzyzx2661cc8q1l88zyzy71rum12zyzy92p2n2ggzyzya5bjp4tk88kzyzyd1wi987aczyzyi471kc8ozyzyl3ib0iipmzyzyk12239eekvkzyzysi9tcms4zyzyv5f8o8k08zyzyxr0v63k2sgzyzyxgr6okfvpamkgzyzyz4d5crlc4ko3lzyzyzy057mequmblc8zyzyzy3306eksc4pm2ozyzyzy716k14h7ctfcqazyzyzy9146r2sr7164sk8zyzyzyb11243cc51f631|b36s245|name=544P5H2V1|style=raw}}||DroneBetter, 2024<ref name="post179555" />
|-
|(2,1)c/6||6|| || ||{{LinkCatagolue|xq6_gc27gzhounkkkz1w1g1ha0o8gzy2scvg443zy3laqt9v8cgzy4ep30l01zy3goqigszy2592wuah4o8zy68t49am1zy87nl5es2zy9635k5qke48gzyet72fd226zye16lo44c0gzyg112ecusih8zyk8a83g44sczylbv1lrd8hzyn3l4ea7zynm51dgzyn71k33iggzypo42ndekzyp1iqkgpa4zyr617jo3zyw212tau1czyx8ke52cgozyzw8f5av7oozyzy110pvt0o48ozyzy621108n66|b36s245|name=421P6H2V1|style=raw}}||[[LaundryPizza03]], 2020<ref name="post116552" />
|-
|rowspan="4"|[[corderoid]]||rowspan="4"|orthogonal||7c/150||300||{{LinkCatagolue|xq300_u0jvdyauiczw111zy7ciivj0dc0cuy8uiczya1101|b36s245|name=58P300H14V0|style=raw}}||[[Dean Hickerson]], 1997||{{LinkCatagolue|xq300_y6ciuy3ciiuvcy8kq46zyk1zggybo8gz743yaf87|b36s245|name=52P300H14V0|style=raw}}||Benet Nasch, 2022<ref>{{cata|attribute/xq300_y6ciuy3ciiuvcy8kq46zyk1zggybo8gz743yaf87/b36s245|the attribution page}}, December 15, 2022</ref>
|-
|7c/252||504|| || ||{{LinkCatagolue|xq504_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|b36s245|name=2715P504H14V0|style=raw}}||FWKnightship,<ref name="post151314" /> [[Peter Naszvadi]],{{refn|name=post151339|{{LinkForumThread|p=151339|title=Re: B36/S245|author=Peter Naszvadi|date=September 24, 2022|format=raw}}, corderising <ref name="post151314" />'s puffer, then reducing it in an edit}} toroidalet,{{refn|name=post151345|{{LinkForumThread|p=151345|title=Re: B36/S245|author=toroidalet|date=September 24, 2022|format=raw}}, corderising <ref name="post151314" />'s puffer more compactly than either of <ref name="post151339" />'s}} 2022
|-
|7c/501||2004|| || ||9980P2004H28V0||FWKnightship,<ref name="post151347" /> Peter Naszvadi,{{refn|name=post151388|{{LinkForumThread|f=11|t=1887|p=151388|title=Re: B36/S245|author=Naszvadi|date=September 26, 2022|format=raw}}, iin which <ref name="post151347" />'s puffer was corderised}} 2022
|-
|7c/600||1200|| || ||{{LinkCatagolue|xq1200_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|b36s245|name=856P1200H28V0|style=raw}}||Dean Hickerson, 1997
|}
{{EmbedViewer
|rle = x = 1042, y = 265, rule = B36/S245
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|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 2660 HEIGHT 700 ZOOM 2.5 ]]
|caption = known elementary spaceships of minimal width and population for each speed, period and symmetry
|position = center
|style = width:300px;
}}

In {{year|1997}}, [[Dean Hickerson]] discovered two replicator-based spaceships traveling at 7c/150 orthogonal and 7c/300 orthogonal respectively:
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = b36s245-14c300spaceship
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 ]]
|position = center
|caption = 14c/300o
|style = width:300px;
|apgcode = xq300_u0jvdyauiczw111zy7ciivj0dc0cuy8uiczya1101/b36s245
}}}}
{{gallery item|{{EmbedViewer
|pname = b36s245-28c1200spaceship
|viewerconfig = #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 ZOOM 2 ]]
|position = center
|caption = 28c/1200o
|style = width:300px;
}}}}
{{gallery bottom}}

===Linear growth===

Replicators can also be used to create a [[gun]] for the c/7 diagonal ship:

{{EmbedViewer
|pname = b36s245gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 600 WIDTH 800 THUMBSIZE 2 ZOOM 8 ]]
|position = center
|style = width:300px;
}}

On May 28, 2021, [[Luka Okanishi]] constructed the following period-408 4c/23 spaceship gun without synthesizing from smaller ships.<ref name="post131028" />
{{EmbedViewer
|rle = x = 110, y = 64, rule = B36/S245
23b2obo2b2obo2bo38bo2bob2o2bob2o$23bob3obobo2b2o38b2o2bobob3obo$13bo2b
o6bob3obobo2b2o38b2o2bobob3obo6bo2bo$14b2obo5b2obo2b2obo2bo38bo2bob2o
2bob2o5bob2o$12b3obo76bob3o$15bo78bo12$29bo50bo$28b4o46b4o$27bobo2bo
44bo2bobo$5b3o19bobo2bo44bo2bobo19b3o$3bob2obo19b4o46b4o19bob2obo$5bo
23bo50bo23bo$4b3o47b2o47b3o$52bob2obo$52b2o2b2o$52bob2obo$54b2o$54b2o$
7b2obo88bob2o$5b4o5bo80bo5b4o$4bo2bo2b2ob2o80b2ob2o2bo2bo$4bo2bo2b2ob
2o80b2ob2o2bo2bo$5b4o5bo80bo5b4o$7b2obo88bob2o2$53b4o$54b2o$52bob2obo$
53bo2bo$54b2o$35b2o36b2o$35b2o16b4o16b2o$33bo4bo32bo4bo$2b4o28bo2bo34b
o2bo28b4o$2bo2bo26b2ob2ob2o13bo16b2ob2ob2o26bo2bo$2bo2bo27bob2obo13bob
o16bob2obo27bo2bo$2bo2bo45bobo50bo2bo$3b2o47b2o51b2o$52bobo$52bo5$2bo
2bo14bobo64bobo14bo2bo$2bo2bo14b2obo62bob2o14bo2bo$o2b2o2bo11bo4bo60bo
4bo11bo2b2o2bo$obo2bobo11bo4bo60bo4bo11bobo2bobo$20b2obo62bob2o$2b4o
14bobo12b2o36b2o12bobo14b4o$3b2o29bo2bo34bo2bo29b2o$35b2o36b2o$35b2o
36b2o!
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 700 WIDTH 960 THUMBSIZE 2 ZOOM 8 ]]
|position = center
|style = width:300px;
}}

On September 23, 2022, [[FWKnightship]] constructed a 14c/504 orthogonal replicator-based [[puffer]],<ref name="post151314" /> which [[Peter Naszvadi]]<ref name="post151339" /> and [[toroidalet]]<ref name="post151345" /> both found spaceship versions of on the following day. Also on September 24, FWKnightship found a second puffer with a speed of 28c/2004 orthogonal,<ref name="post151347" /> which Naszvadi completed into a spaceship two days later.<ref name="post151388" />

==Notes==
<references group="n" />

==See also==
*[[OCA:Rule 120|Rule 120]], a one-dimensional cellular automaton exhibiting <tt>Θ({{sqrt|t}})</tt> growth.

==References==
<references>
<ref name="post21408">{{LinkForumThread
|f = 11
|t = 1778
|p = 21408
|title = Re: Move/Morley (245/368)
|author = Saka
|date = July 24, 2015
|format = raw}}, in which the smallest c/3 ([[polyglot]]tal to both rules) was found</ref>
<ref name="post94136">{{LinkForumThread
|format = ref
|p = 94136
|title = Re: Miscellaneous Discoveries in Other Cellular Automata
|author = AforAmpere
|date = April 11, 2020
}}</ref>
<ref name="post102490">{{LinkForumThread
|format = ref
|p = 102490
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 19, 2020
}}</ref>
<ref name="post116552">{{LinkForumThread
|p = 116552
|title = Re: B36/S245
|author = LaundryPizza03
|date = December 21, 2020
|format = raw}}, in which the (2,1)c/6 was found</ref>
<ref name="post131028">{{LinkForumThread
|format = ref
|p = 131028
|title = Re: B36/S245
|author = Luka Okanishi
|date = May 28, 2021
}}</ref>
<ref name="louckster_2c/7">{{CiteDiscord|channel=bots-and-mute-this|id=1008770153460281344|author=lordlouckster|date=August 15, 2022}}, in which the first 2c/7 was found</ref>

<ref name="post151314">{{LinkForumThread
|p = 151314
|title = Re: B36/S245
|author = FWKnightship
|date = September 23, 2022
|format = raw}}, showing a 14c/504 puffer</ref>
<ref name="post151347">{{LinkForumThread
|p = 151347
|title = Re: B36/S245
|author = FWKnightship
|date = September 25, 2022
|format = raw}}, finding a 28c/2004 puffer</ref>
<ref name="post171752">{{LinkForumThread
|format = ref
|p = 171752
|title = Regarding the name of the """logarithmic""" replicator rule
|author = DroneBetter
|date = November 22, 2023
}}</ref>
<ref name="post179555">{{LinkForumThread
|f = 11
|t = 1887
|p = 179555
|title = Re: B36/S245
|author = DroneBetter
|date = March 3, 2024
|format = raw}}, in which the smallest known c/5d (by population) and (2,1)c/5 were found, together with minimal-widths: c/6d w16glide, 4c/14 w12e, 2c/7 w16e, 2c/5 w20e and (through Darren Li) w12a, all symmetries of c/2, c/3, c/4, c/5 and some period-multiples thereof</ref>
<ref name="post179561">{{LinkForumThread
|f = 11
|t = 1887
|p = 179561
|title = Re: B36/S245
|author = May13
|date = March 3, 2024
|format = raw}}, in which the smallest known c/5d (by bounding box) was found</ref>
<ref name="post183593">{{LinkForumThread
|f = 11
|t = 1887
|p = 183593
|title = Re: B36/S245
|author = DroneBetter
|date = April 27, 2024
|format = raw}}, in which thinnest possible spaceships were found: c/6 w9a, 2c/7 w17o and (by Darren Li) w11a, 6c/12 w7a and w13o, w14e; 3c/8 (by Li again) w20e, and c/8d w12glide</ref>
</references>

==External links==
* {{LinkCatagolueRule|b36s245|rulename=sqrt replicator rule}}
* {{LinkEppsteinRule|b36s245|archivedate=20150422165243|rulename=B36/S245}}
* {{LinkForumThread|f=11|t=1887|title=B36/S245}}

[[Category:Life-like cellular automata]]
{{DISPLAYTITLE:OCA:sqrt replicator rule}}

C/3 diagonal

2025-07-04T11:33:40Z

Roee.s: Added example spaceships for Move and Sqrt replicator

{{Speed
|speed = c/3 diagonal
|ss = no
|puff = no
|rake = no
|wick = no
|gun = no
}}
'''c/3 diagonal''' is a diagonal [[speed]] that is equivalent to one third of the speed of light.

In [[Conway's Game of Life]] or any other rule without an B0, B1, B2, S4 or S5 transition, no [[spaceship]] can travel at this speed through a [[vacuum]].<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Sqrt replicator rule|Sqrt replicator]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==Butterfly==
{{EmbedViewer
|rle = x = 5, y = 5, rule = B3678/S34678
b3o$3obo$3b2o$3b2o$3bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = The butterfly
|position = center
|style = width:300px;
}}
The butterfly is a c/3 diagnoal [[spaceship]] that works in the 128 [[outer-totalistic]] rules between B367/S346 and B3678/S0134678, including [[Day & Night]] for which it's proven the smallest.

==3-4 Life==
{{EmbedViewer
|rle = x = 4, y = 4, rule = B34/S34
b3o$2b2o$o2bo$bo!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 50 HEIGHT 600 AUTOSTART ]]
|caption = 3-4 Life c/3d spaceship
|position = center
|style = width:300px;
}}
The above spaceship, despite its size, is quite rare in [[3-4 Life]], only commonly escaping from diagonally symmetric broths along the axis of symmetry. It works in the 64 rules between B34/S34 (aka 3-4 Life) and B3458/S034678.
===Synthesis===
In 3-4 life, this c/3 diagonal spaceship can be synthesized by 7 copies of the much more common [[c/3 orthogonal]] spaceship:
{{EmbedViewer
|rle = x = 80, y = 22, rule = B34/S34
7b2o$7b2o$6b4o2$55b4o$31bo19bo4b2o$2bo13bo13b2o18b2o$3o12b2o12b3o17b3o
$3o12b2o46bo$2bo13bo46b3o$63b3o$48bo14bo$48b2o26b3o$48b2o26b2o$48bo27b
o2bo$78bo4$52b4o$53b2o$53b2o!
|viewerconfig = #C [[ ZOOM 8 WIDTH 1000 ]]
|position = center
|caption = A synthesis of the c/3 diagonal spaceship
|style = width:300px;
}}

==Move and Sqrt replicator==
[[Move]] and [[Sqrt replicator rule|Sqrt replicator]] are two similar rules differing only by the presence of the B8 transition, and so have many patterns in common including these spaceships, which also both work in the two more rules with the S8 transition:
{{EmbedViewer
|rle = x = 32, y = 34, rule = B368/S245
13b2o$13b3o$11b2o2b2o$13b4o$10b2o4b2o$10bobo4bo$7bo2bobo2bobo$5bob2o6b
obo$4bobobo2bo2b3o$8b3o3bo$6b3o$2bo2bobobo$bobob2o$bo2b2obo$3b2o$b3obo
22b2o$b2obo18bo4b3o$4o18b3ob2o2b2o$2bo18bo2bo2bo2b2o$2bo19b2ob5o$o2bo
12bo2bo3b5obo$3bo10b3obob2obo2b2o$b2o11b3ob4obo2bob2o$13b2o4bo4b4ob2o$
13b2o3bobo6bobo$19bo4b2o2bo$22bob2o$21bob2obo$22bob2o2$24b3o$24b2o$22b
4o$22b2o!
|viewerconfig = #C [[ TRACKLOOP 3 1/3 -1/3 THUMBSIZE 2 GPS 3 ZOOM 12 HEIGHT 600 AUTOSTART ]]
|caption = Two spaceships that work in the 4 rules
|position = center
|style = width:300px;
}}

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
</references>

OCA:Day & Night

2025-07-04T10:30:52Z

Roee.s: /* Elementary */ Added a link to c/3 diagonal

{{Rule
|name = Day & Night
|imgname = Day&night
|char = Stable
|b = 3678
|s = 34678
|reversal = [[Day & Night|B3678/S34678]]
|ruleinteger = 242120
|strobing = B01245/S0125
|checkerboard = B1e2cn3acjkr4cny5einqy6ei7c/S01e2-ei3acjkr4-ejr5einqy6-cn7c8
}}
'''Day & Night''' is a [[Life-like cellular automaton]] in which cells survive from one generation to the next if they have 3, 4, 6, 7, or 8 neighbours, and are born if they have 3, 6, 7, or 8 neighbours.

Day & Night is the most well-known [[self-complementary]] rule; that is, if all grid cells have their on/off state exchanged, the history of the pattern is the inverse of the history of the original.

Nathan Thompson explored the rule starting in April 1997, and [[David Bell]] discussed the rule in detail the following November.

The rule is rich in [[spaceship]]s, [[puffer]]s, and [[oscillator]]s.

On August 14, {{year|2020}}, [[Peter Naszvadi]] constructed a [[Rule 110]] [[unit cell]] in Day & Night, proving the rule [[Turing-complete]].<ref name="post102258" />

==Oscillators==
Day & Night is home to many different periods of oscillators. Here are the smallest known examples of each period up to 16:
{{EmbedViewer
|rle = x = 183, y = 12, rule = B3678/S34678
2o5bo28b2o9b2o55bo77bo$2o5b2o5b4o7bo8b4o9b2o10bobo20b2o5b2o11bob3o9bo
2bo9bobo7b2o9b3o28b2o$8bo6b2o7b3o7b6o6b5o7b6o6b5o6b3o5b3o10b5o9b3obo9b
o8b2o10b2o28b2o$15b2o8bo10b4o7b4o7b6o7b3o7b2o7b2o6b2o2b4o10b5o8bo11bo
9bo3bo7b2ob2o4b2o$15b2o18bob2o9bo9bo2b2o23bo11b9o8b5o8b2ob2o9b2o11b2o
6b4o3b4o$14b4o19b2o22b3o21b3o11b4o2b2o7b5o12bo10b2o11b2o7b9o$60b3o9bo
11b5o10b2o12b5o12bo32b4o3b4o$70b2o13b3o25bob3o11bobo31b2o4b2ob2o$72bo
13bo27bo2bo$70bo10b2o7b2o$71b2o8b3o5b3o$70bo11b2o5b2o!
|position = center}}

==Spaceships==
Many periods of c/2 spaceships are known, but different reduced speeds are common as well. The S8 transition allows many of the spaceships in Day & Night to be stable.

===Rocket===

The rocket was the first spaceship found in Day & Night, and it appears spontaneously from many reactions which have symmetry around a line. This spaceship is probably the reason that this particular Life rule was chosen for Day & Night. It is unexpectedly large and has the amazingly large period of 40.

{{EmbedViewer
|pname = rocket
|position = center
|caption = rocket
|apgcode = xq40_0sfvuvfszw1ovo1z0sgpvpgszwcvvvczookpvpkooz8hvvvvvh8z2pfvvvfp2zw37f73/b3678s34678
|style = width:400px;
}}

The rocket is easily generated from tiny predecessors.

{{EmbedViewer
|rle = x = 412, y = 102, rule = B3678/S34678
b2o$ob2o$8o$ob2o$b2o!
|position = center
|caption = rocket predecessor
|style = width:400px;
}}

===Elementary===

Unsimplified speeds are yet to be tabulated here.

Green means a spaceship has been proven to have minimal population via [[LLSSS]].
{| class="wikitable"
|-
! Speed
! Period
! Direction
! Smallest known
! Minimum # of [[cell]]s
|-
!rowspan=2| [[c/2 orthogonal|c/2]]
| 2
| orthogonal
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=702&p=73855#p73855 29P2H1V0]
|style="background: #80ff80;"| {{cells|29}}
|-
| 4
| orthogonal
| {{LinkCatagolue|xq4_gkevekgzx2|b3678s34678|name=18P4H2V0|style=raw}}
|style="background: #80ff80;"| {{cells|18}}
|-
! [[3c/7 orthogonal|3c/7]]
| 7
| orthogonal
| {{LinkCatagolue|xq7_oggwdraaaardwggozdvo504sf44fs405ovdzupv80adkrrkda08vpuz0devousvvvvsuovedzwfeqctvvvvtcqefz0266ugvvvvvvgu662zwcujb73w37bjuczw1233y23321|b3678s34678|name=316P7H3V0|style=raw}}
| {{cells|316}}
|-
! [[2c/5 orthogonal|2c/5]]
| 5
| orthogonal
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=702&p=73994#p73994 164P5H2V0]
| {{cells|164}}
|-
! [[c/3 orthogonal|c/3]]
| 3
| orthogonal
| {{LinkCatagolue|xq3_oq7sm9wo6335zx10eu2|b3678s34678|name=35P3H1V0|style=raw}}
|style="background: #80ff80;"| {{cells|35}}
|-
! [[2c/7 orthogonal|2c/7]]
| 7
| orthogonal
| {{LinkCatagolue|xq7_wn76oskkso67nzwgg75l55l57ggzctvvuvquuqvuvvtczw22hpffffph22zx3456w6543|b3678s34678|name=160P7H2V0|style=raw}}
| {{cells|160}}
|-
! [[c/4 orthogonal|c/4]]
| 4
| orthogonal
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=702&p=73855#p73855 32P4H1V0]
| 
| {{cells|76}}
|-
! [[c/7 diagonal|c/7]]
| 7
| diagonal
| [https://conwaylife.com/forums/viewtopic.php?f=11&t=702&p=73855#p73855 48P7H1V1]
| {{cells|48}}
|-
! [[c/8 diagonal|c/8]]<ref>{{CiteDiscord|channel=naturalistic|id=1378190150135189597|author=LuveelVoom|date=May 31, 2025}}, which found the first c/8d (but laughably far from the minimal... yes indeed)</ref>
| 8
| diagonal
| {{LinkCatagolue|xq8_yhgg4esif0sczydgmqs40eun4fzy9oauvvse6s47a41zy3g0ooqipp0ec31zgooc4usvvfnff31z364iug5b23zx107|b3678s34678|name=176P8H1V1|style=raw}}
| {{cells|176}}
|}

{{EmbedViewer
|rle = x = 437, y = 103, rule = B3678/S34678
433bo$2b2ob4o5b3o9b5o4b5o13b3o10b3o12b3o11b4o6b4o7bo4bobo4bo8bo2bo5bo2bo15bo16bo5bo14b2o14b3o2b3o44bo14b3o11b3o17b3o15b2o33bo23bo35b2o$b3o3bobo3bobobo8b3obo4bob3o11b3ob3o6b3ob3o8b2ob2o12b2o3b2o3b2o8b2o3b3o3b2o8b2ob2o3b2ob2o14bobo14bobo3bobo13b2o12bob2o4b2obo40b4o13b2obo9b3obo15b5o14b3o31b3o22b3o30b2ob2o$4ob5o3b5o7bob2obo4bob2obo9b3o2b4ob2ob4o2b3o8bobobo11bo2b2o2b2o2bo9b2o2b3o2b2o8b2o4bobo4b2o13b3o14b3o3b3o26b14o39b5o10b3o2b2o11b2o15b6o12bo2b2o33bo21b4o28b4o2bo$b5o6bob3obo7b3o8b3o11b2o2b3ob4ob3o2b2o8b2o2bo13b10o12b2o3b2o10b3o2b5o2b3o13bobo33b2ob2ob2o9bo4b2o4bo39bob5o8bobo4b2o10b2o17b5o12b5o28b2o27b2o26b5ob3o$o3bo2b2o6bo11b2ob6ob2o11bob3o2bob4obo2b3obo8b4ob2o11b8o14b2ob2o12bobob5obobo31b2o5b2o9b2o2b2o2b2o8b2ob2o2b2ob2o39bob3obo7b4o2b4o10bo19b3o46bob2o22bob4o23bo3bo2b3o$14bobo9bo2b2o4b2o2bo10b3o5b6o5b3o8b2o2b2ob2o10bob2obo15b5o55b2o7b2o9b8o11bobo2bobo40bo2b5o5bo2bobo4b2o31bobo44bobobo21bo3bob2o23bo3b3o2bo$27b12o11bo7bo4bo7bo12b4o12bo2bo34bo9bo31bob2o3b2obo10b6o13b2o2b2o41b2obo9bo2b6o3bo29bobo13bo27b3obob3o17b2obo6b2o21b2o3bobobo$26bob10obo8b2o2bo6b4o6bo2b2o10bo2bo11b2o2b2o17bo41b3o15bobobobo10bob6obo10b8o39bob3obo7b3o3bobo34bo12bobo7bo21b2ob2obo17bobob2o2bob3o19b3ob2ob2obo$29b8o14bobo5bo2bo5bobo10bo15b3o4b3o57b3o15b2o3b2o12b6o13bob2obo41bo17bo2b2o47b2o7b2o16bob3ob4o18b2o2b2obo27bo2b3obo$25b2o3b6o3b2o10b2o16b2o8b4o13b3obo2bob3o54bo2bo2bo15bobo15b4o15bo2bo42bob2o17b2o45b2o9b3o15b8obo19bobo2bo24bo4bo2bo$26b2o2b6o2b2o10bo2b3o10b3o2bo7bo15b5o4b5o52bob5obo32b4o62b2o10bo6bobo47bobo6bob2o14b9o21bo2bo24b4o3b2o$26b2obob4obob2o13b2obo8bob2o9b2obo14b4o4b4o53b9o12b2obob2o13b4o14bo4bo43b2o9b3o4bo2b2o46bo2b3o2bob2o13bob5obo23b2obo20b3ob6obo$30b6o13b8o8b8o21b16o48b4ob5ob4o9b7o11b2ob2ob2o12b2o2b2o43b2o10bob2o2bo49bobobo5bo17b4o27b3o20bob6ob3o$28bo2b4o2bo12bob4o10b4obo21bob14obo47b2obob5obob2o10b5o13bob2obo12bobo2bobo41bobo9b2ob3o3bo46bo3bobo22b6o47bo2b8o$29b8o13b2ob4o8b4ob2o23b14o50b2o4bo4b2o9b3o3b3o10bo6bo9b5o2b5o39bo14bo4b3o49bo22bob2obo50b3ob3o2bo$27b12o13bo2bo10bo2bo24b2o2b8o2b2o55bo13b3o7b3o11b2o14b3o2b3o41b3o16bo2bo73b2o2bo48b2o2bo$27b12o15bo12bo31b6o75b5ob5o11b4o13b8o41b2obo15bobo74bo51bobo3b4o$28b10o18bo8bo31bo2b4o2bo75b7o14b2o11b3o3b2o3b3o38b2obo14bob2o125b6obo$30b6o19b2o8b2o29bob8obo72b11o11bo2bo11bo2bo4bo2bo34bo2bo2b2o15bo2b4o120b6obo2bo$24bob2o2b6o2b2obo14bo8bo30b2ob2o2b2ob2o76b3o15b4o11b2obob2obob2o34bob3o18bo5b2o117b8o$25b2o2bob4obo2b2o57b2o4b2o77b5o15b2o12b3ob4ob3o34b5o20bob4o117bob5o$24b5o3b2o3b5o56bo6bo78b3o14b6o12bob4obo36b3o19b3o2bobo119b7o$24b6o2b2o2b6o159bob2obo12b8o35b3obo17b4o122b9o$24b5ob6ob5o156b2o2b4o2b2o8b10o37bo19b2o2b2o115b2ob7o$22bob3o3bob2obo3b3obo153bo2b8o2bo8b8o33bob3o19bo4bo116b2o4b3o$23bo2bo3bo4bo3bo2bo154b14o6b12o31bo27bo118bobo2b3o$28bo8bo160b12o7b2ob6ob2o31b2o25b2obo115bobo3b2o$26bob3ob2ob3obo157bob10obo48bobo22b6o117bo2bobo$23b3ob2ob2o2b2ob2ob3o155b12o49b3o21bo2b4o118b4o2bo$24bo16bo156bo3bo2bo3bo11b4o32b7o16b2ob2ob2obo120bob2o$23b3o14b3o177b6o30bob4o18bo3bo4b3o117b2o$24bo16bo159b6o14b4o32b3obo20bo6bob2o118bo$23b3o4b6o4b3o157b8o11b2o4b2o30b2o22b2o3bo4bo$25bo4b2o2b2o4bo159bo2b2o2bo11bobo2bobo27b3ob3o22b2ob4o2bo$30bo4bo164bo2b2o2bo11b2ob2ob2o27bobobo22bobo2bo2b2o$30bob2obo166bo2bo48b4o25b2obo2bobo$30bob2obo185bo2bo31bo26bo2bo4b3o$221bo2bo30bo25bo2bobo4bobo$222b2o29bo2bo24b5o3b2o$254bob2o25b2obobobob2o$255b2o27b2o2bobob2o$283b2o6bo$254b3obo24b4o2b5o$255bobo27bo3b5o$253b5o25bob3ob3o$254bo27bob2o6bo$253bob2o27b2o$253b3o25b2o3bo$252b4o26bobo4b3o$251b3o29b4o3b2o$251b4o27bob2o$254bo29b3o$254b2o31b3o$254bo28bob6o$251bobo30b2obob2o$252b4o29bob2o$251b2ob2o27b2o2b4o$251b2o2bo27bo5b2o$250b3ob2o29b3ob2o$249bob3o30bob3o$251b3o32b2ob2o$248b2obo34bob2o$250b3o37b2o$248b3o2bo37bo$249b3obo35bob2o$246bo44b2o$246b2o2bo38b4o$247b2o36b6obo$245b3o34b2ob3ob2obo$244bo37b2ob3obo$244bobo36bob3obo$246b3o33bob4o$244bobob2o35bo$244b4o34b2o2bo$244b3ob2o34bo2b2o$242b2ob2ob2o35b4o$242bob3obo35b2ob2o$244bo38bo2bo$244b2o40bo$285b2o$245b2o$244b3o$244b3o$244b3o$242bob2o$242b3obo$242b4o$241bo2b2o$241bobo$242b2o$242b2o$244bo$241bo$241b2o$240bo$240bobo$238b5o$237b3o$237bob2o$235b5o$237bo$237bo!
|position = center
|viewerconfig = #C [[ ZOOM 2 WIDTH 900 ]]
|caption = A collection of these ships
|style = width:480px;
}}

In February {{year|2020}}, [[AforAmpere]] found the first [[knightship]]s in D&N, of speeds (2,1)c/5<ref name="post89850" /> and (2,1)c/6<ref name="post90043" /> respectively. On October 26, 2020, [[Adam P. Goucher]] found a {{LinkCatagolue|xq5_yzy1g8ik82vcezyzy13um3zyzw8qdf5r58zyz25e9htv652zyxssssvb31zysg0k40ec3011zyrgodpzypddso135zymcnmpa8zyjgo75j1ackzyf8kvvvfvmkp32zyg9vl3ackggzyhsmr1uuaczydcktoltkionzyd25f06d601zyaggog419k7ogzy6gsvvvf60dqsi9o2zy525nvvffs9v6u6zy58umplqgd0kzy45e22gvb2rd01zx4svaf1diphkc3z0k9864ihkjjoz6vj2qo0od51zw1103733|rule=b3678s34678|patternname=second, larger (2,1)c/5 knightship|style=raw}} using [[ikpx2]],<ref name="message770287572152483841" /> and quickly found multiple [[tagalong]]s<ref name="message770293244953100318" /><ref name="message770293800652242944" /> (including a {{LinkCatagolue|xq10_8e9m2zw5dvauo8zy0efdf8gzy32j6dikzy63j7jzy526759qoqgggzybr0klgzybichlrk2zyb21vfqsn6zye137uuttq4zyi1246544kzyngnrus8zyo11evke8zyr24cm468zys7gih73nkggzyt36usvffvvm8zyugw7hlbqczyu2jn9gdtvkzyv1osaee6kf6szyy175vcb7zyykfjih108sgoggzyz2m8rnncvjvvvu8gzyzw3674u8nnvfdnzyzy1gjghmuod94zyzy11et5mvoopbmgzyzy4261pd1ghbjfsozyzy8oj3o946696czyzy914mmo64lot3zyzyb11331|rule=b3678s34678|patternname=period-10 tagalong|style=raw}}<ref name="message770294666461315082" />) and a [[wickstretcher]]<ref name="message770296523916705843" /> based on it. The same day, Goucher found a smaller and thinner (2,1)c/6 spaceship.<ref name="message770389109339324416" />

On October 27, Goucher found a "[[growing spaceship|growing knightship]]" - a pattern in which the front end moves at (2,1)c/5 while the back end moves at (2,1)c/6.<ref name="post107986" />

{{POTY|name=These knightships|year=2020|type=oca|rank=1|collective=true}}

==References==
<references>
<ref name="post102258">{{LinkForumThread
|format = ref
|title = Re: List of the Turing-complete totalistic life-like CA
|p = 102258
|author = Peter Naszvadi
|date = August 14, 2020
}}</ref>
<ref name="post89850">{{LinkForumThread
|format = ref
|title = Re: Day & Night (B3678/S34678)
|p = 89850
|author = AforAmpere
|date = February 19, 2020
}}</ref>
<ref name="post90043">{{LinkForumThread
|format = ref
|title = Re: Day & Night (B3678/S34678)
|p = 90043
|author = AforAmpere
|date = February 22, 2020
}}</ref>
<ref name="message770287572152483841">{{CiteDiscord
|author = Adam P. Goucher
|date = October 26, 2020
|channel = naturalistic
|id = 770287572152483841
}}</ref>
<ref name="message770293244953100318">{{CiteDiscord
|author = Adam P. Goucher
|date = October 26, 2020
|channel = naturalistic
|id = 770293244953100318
}}</ref>
<ref name="message770293800652242944">{{CiteDiscord
|author = Adam P. Goucher
|date = October 26, 2020
|channel = naturalistic
|id = 770293800652242944
}}</ref>
<ref name="message770294666461315082">{{CiteDiscord
|author = wwei23
|date = October 26, 2020
|channel = naturalistic
|id = 770294666461315082
}}</ref>
<ref name="message770296523916705843">{{CiteDiscord
|author = Adam P. Goucher
|date = October 26, 2020
|channel = naturalistic
|id = 770296523916705843
}}</ref>
<ref name="message770389109339324416">{{CiteDiscord
|author = Adam P. Goucher
|date = October 26, 2020
|channel = naturalistic
|id = 770389109339324416
}}</ref>
<ref name="post107986">{{LinkForumThread
|format = ref
|title = Re: Day & Night (B3678/S34678)
|p = 107986
|author = Adam P. Goucher
|date = October 27, 2020
}}</ref>
</references>

==External links==
* {{cite web
| author = David I. Bell
| year = 1997
| url = http://www.tip.net.au/~dbell/articles/DayNight.zip
| title = Day & Night - An Interesting Variant of Life
| work = See also Bell's [http://www.tip.net.au/~dbell/archive/b3678s34678.tar.gz Day & Night pattern archive]}}
* {{cite web
| author = Pete Carlton
| url = https://web.archive.org/web/20080617233100/http://www.ocf.berkeley.edu/~pcarlton/CA.html
| title = Pete's Game of Life Page: B3678 S34678}}
* {{LinkForumThread|f=11|t=702|title=Day & Night (B3678/S34678)}}
* {{LinkWikipedia|Day_and_Night_(cellular_automaton)}}
* {{LinkCatagolueRule|b3678s34678}}
* {{LinkEppsteinRule|b3678s34678}}
* {{LinkMirek|rullex_life.html#Day%20%26%20Night|title=MCell built-in Life rules: Day & Night}}
* [https://web.archive.org/web/20150422173051/http://fano.ics.uci.edu/ca/rules/b3678s34678/g15.html The Rocket (glider 19979)]

[[Category:Life-like cellular automata]]
[[Category:Self-complementary rules]]

C/3d

2025-07-04T10:01:26Z

Roee.s: Created a redirect

#REDIRECT [[C/3 diagonal]]

C/3 diagonal

2025-07-04T09:59:38Z

Roee.s: Added example spaceships for Day & Night and 3-4 Life

C/3 diagonal

2025-07-03T19:43:32Z

Roee.s: This is only the beginning, I plan to also show some spaceships with this speed in these OCA.

C/3 diagonal is a speed unattainable in [[Conway's game of life]] or in any other rule without an B0, B1, B2, S4 or S5 transition.<ref name="njohnston" /> However, it is attainable in many other rules that do have an S4 or S5 transition, including [[Day & Night]], [[3-4 Life]], [[Move]], [[Star Trek]], [[Geology]], [[Dance]] and [[OCA:Castles|Castles]].

==References==
<references>
<ref name="njohnston">{{cite web|url=http://www.njohnston.ca/2009/10/spaceship-speed-limits-in-life-like-cellular-automata/|title=Spaceship Speed Limits in "B3" Life-Like Cellular Automata|author=Nathaniel Johnston|date=October 30, 2009|accessdate=December 12, 2016}}</ref>
</references>

Period-30 glider gun

2025-06-23T07:41:07Z

Roee.s:

{{Glossary}}
A '''period-30 glider gun''' is any [[glider]] [[gun]] with [[true]] [[period]] 30. The first and smallest one is the [[Gosper glider gun]] found by [[Bill Gosper]] in November {{year|1970}}. Many known {{period|30}} glider guns are made from two or more interacting [[queen bee]]s. [[Paul Callahan]] found 30 different ways that three queen bees react to form a period 30 glider gun.<ref name="post134431" /> One of them is shown below.

{{EmbedViewer
|pname = p30gunexample
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 GPS 10 AUTOSTART PAUSE 2 ]]
}}

Other than the Gosper glider gun, there are two reactions involving two queen bees that produce gliders, but they are "self-destructive" because the output gliders react with the queen bees before they can escape.

These were last reported by [[Mark Niemiec]]:<ref>{{LinkNiemiec|filename=gun.htm|title=Life Glider and Spaceship Guns|nobullet=nobullet}}</ref><ref name="post8989" />
{{EmbedViewer
|pname = almostgun1
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 8 HEIGHT 320 WIDTH 800 GPS 10 AUTOSTART PAUSE 2 T 20 PAUSE 2 LOOP 21 ]]
}}

However, one can make a p30 glider gun using two queen bees and additional oscillators, like this gun by Tropylium that also uses a [[pentadecathlon]]:<ref name="post9156" />

{{EmbedViewer
|position = center
|rle = x = 27, y = 39, rule = B3/S23
22bo$20b3o$19bo$19b2o8$14b2o3b2o2$15bo3bo$16b3o$16b3o3$bo2b2o4b2o2bo$o
3b3o2b3o3bo$bo2b2o4b2o2bo2b3o$17b3o$16bo3bo$15bo5bo$16bo3bo$17b3o8$20b
2o$20bo$21b3o$23bo!
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART PAUSE 2 ]]
}}

The reaction below with an additional clock was found by [[Entity Valkyrie]]:
{{EmbedViewer
|pname = almostgun2
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART PAUSE 2 T 23 PAUSE 2 LOOP 24 ]]
}}

On February 15, {{year|2022}}, [[Charity Engine]] found a tetramer version of this gun<ref name="post141655" /> (monomerised below<ref name="post141656" />), which only uses a single copy of the queen bee shuttle:<ref name="post145248" />
{{EmbedViewer
|pname = p30gun2
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART ]]
}}

On March 1, 2022, [[David Raucci]] found a p30 pi factory, which [[iNoMed]] used to create the first p30 gun with no queen bees.<ref name="post142297" />

{{EmbedViewer
|pname = p30gun3
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART ]]
}}

[[iNoMed]] also found a p30 gun but it has a [[queen bee]].<ref name="post143668"></ref>

{{EmbedViewer
|position = center
|rle = x = 27, y = 39, rule = B3/S23
6b2o$2b2obobo$2b2obo$5b2o$2b2o$2bo$obo$2o4$6b2o3b2o$2o6b3o$obo4bo3bo$
2bo5bobo12bo$2b2o5bo13bo$5b2o$2b2obo17bo$2b2obobo4b2o8bobo$6b2o4bobo$
14b2o6b3o$12bobo$12b2o$22b3o2$22bobo$7b2o14bo$6bobo$6bo16bo$5b2o11bo4b
o$16bobo$17b2o5$25bo$26bo$24b3o!
|viewerconfig = #C [[ THUMBSIZE 2 GPS 10 AUTOSTART LOOP 90 ZOOM 7.5 ]]
}}

==References==
<references>
<ref name="post8989">{{LinkForumThread
|format = ref
|p = 8989
|title = Re: It´s not a Gosper Glider Gun !
|author = Mark Niemiec
|date = September 11, 2013
}}</ref>
<ref name="post134431">{{LinkForumThread
|format = ref
|p = 134431
|title = Re: triller's p30 thread
|author = Dave Greene
|date = August 3, 2021
}}</ref>
<ref name="post141655">{{LinkForumThread
|format = ref
|p = 141655
|title = Re: Soup search results
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post141656">{{LinkForumThread
|format = ref
|p = 141656
|title = Re: Gun Discussion Thread
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post142297">{{LinkForumThread
|format = ref
|p = 142297
|title = Re: Gun Discussion Thread
|author = David Raucci
|date = March 1, 2022
}}</ref>
<ref name="post145248">{{LinkForumThread
|format = ref
|p = 145248
|title = Re: NewLifeCA Back Issues
|author = Dave Greene
|date = May 8, 2022
}}</ref>
<ref name="post143668">{{LinkForumThread
|format = ref
|p = 143668
|title = Re: Gun Discussion Thread
|author = iNoMed
|date = April 1, 2022
}}</ref>
<ref name="post9156">{{LinkForumThread
|format = ref
|p = 9156
|title = Re: It´s not a Gosper Glider Gun !
|author = Tropylium
|date = September 26, 2013
}}</ref>
</references>
==External links==
* {{LinkLexicon|lex_p.htm#p30gun|name=p30 gun}}
* {{LinkCatagolue|guntrue_30}}

[[Category:Patterns]]
[[Category:Patterns found in 1970]]
[[Category:Linear growth]]
[[Category:Infinite growth]]
[[Category:Guns]]
[[Category:Guns with period 30| ]]

Period-30 glider gun

2025-06-23T00:27:16Z

Roee.s:

{{Glossary}}
A '''period-30 glider gun''' is any [[glider]] [[gun]] with [[true]] [[period]] 30. The first and smallest one is the [[Gosper glider gun]] found by [[Bill Gosper]] in November {{year|1970}}. Many known {{period|30}} glider guns are made from two or more interacting [[queen bee]]s. [[Paul Callahan]] found 30 different ways that three queen bees react to form a period 30 glider gun.<ref name="post134431" /> One of them is shown below.

{{EmbedViewer
|pname = p30gunexample
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 GPS 10 AUTOSTART PAUSE 2 ]]
}}

Other than the Gosper glider gun, there are two reactions involving two queen bees that produce gliders, of which two are "self-destructive" because the output gliders react with the queen bees before they can escape.

These were last reported by [[Mark Niemiec]]:<ref>{{LinkNiemiec|filename=gun.htm|title=Life Glider and Spaceship Guns|nobullet=nobullet}}</ref><ref name="post8989" />
{{EmbedViewer
|pname = almostgun1
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 8 HEIGHT 320 WIDTH 800 GPS 10 AUTOSTART PAUSE 2 T 20 PAUSE 2 LOOP 21 ]]
}}

However, one can make a p30 glider gun using two queen bees and additional oscillators, like this gun by Tropylium that also uses a [[pentadecathlon]]:<ref name="post9156" />

{{EmbedViewer
|position = center
|rle = x = 27, y = 39, rule = B3/S23
22bo$20b3o$19bo$19b2o8$14b2o3b2o2$15bo3bo$16b3o$16b3o3$bo2b2o4b2o2bo$o
3b3o2b3o3bo$bo2b2o4b2o2bo2b3o$17b3o$16bo3bo$15bo5bo$16bo3bo$17b3o8$20b
2o$20bo$21b3o$23bo!
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART PAUSE 2 ]]
}}

The reaction below with an additional clock was found by [[Entity Valkyrie]]:
{{EmbedViewer
|pname = almostgun2
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART PAUSE 2 T 23 PAUSE 2 LOOP 24 ]]
}}

On February 15, {{year|2022}}, [[Charity Engine]] found a tetramer version of this gun<ref name="post141655" /> (monomerised below<ref name="post141656" />), which only uses a single copy of the queen bee shuttle:<ref name="post145248" />
{{EmbedViewer
|pname = p30gun2
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART ]]
}}

On March 1, 2022, [[David Raucci]] found a p30 pi factory, which [[iNoMed]] used to create the first p30 gun with no queen bees.<ref name="post142297" />

{{EmbedViewer
|pname = p30gun3
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 WIDTH 480 GPS 10 AUTOSTART ]]
}}

[[iNoMed]] also found a p30 gun but it has a [[queen bee]].<ref name="post143668"></ref>

{{EmbedViewer
|position = center
|rle = x = 27, y = 39, rule = B3/S23
6b2o$2b2obobo$2b2obo$5b2o$2b2o$2bo$obo$2o4$6b2o3b2o$2o6b3o$obo4bo3bo$
2bo5bobo12bo$2b2o5bo13bo$5b2o$2b2obo17bo$2b2obobo4b2o8bobo$6b2o4bobo$
14b2o6b3o$12bobo$12b2o$22b3o2$22bobo$7b2o14bo$6bobo$6bo16bo$5b2o11bo4b
o$16bobo$17b2o5$25bo$26bo$24b3o!
|viewerconfig = #C [[ THUMBSIZE 2 GPS 10 AUTOSTART LOOP 90 ZOOM 7.5 ]]
}}

==References==
<references>
<ref name="post8989">{{LinkForumThread
|format = ref
|p = 8989
|title = Re: It´s not a Gosper Glider Gun !
|author = Mark Niemiec
|date = September 11, 2013
}}</ref>
<ref name="post134431">{{LinkForumThread
|format = ref
|p = 134431
|title = Re: triller's p30 thread
|author = Dave Greene
|date = August 3, 2021
}}</ref>
<ref name="post141655">{{LinkForumThread
|format = ref
|p = 141655
|title = Re: Soup search results
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post141656">{{LinkForumThread
|format = ref
|p = 141656
|title = Re: Gun Discussion Thread
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post142297">{{LinkForumThread
|format = ref
|p = 142297
|title = Re: Gun Discussion Thread
|author = David Raucci
|date = March 1, 2022
}}</ref>
<ref name="post145248">{{LinkForumThread
|format = ref
|p = 145248
|title = Re: NewLifeCA Back Issues
|author = Dave Greene
|date = May 8, 2022
}}</ref>
<ref name="post143668">{{LinkForumThread
|format = ref
|p = 143668
|title = Re: Gun Discussion Thread
|author = iNoMed
|date = April 1, 2022
}}</ref>
<ref name="post9156">{{LinkForumThread
|format = ref
|p = 9156
|title = Re: It´s not a Gosper Glider Gun !
|author = Tropylium
|date = September 26, 2013
}}</ref>
</references>
==External links==
* {{LinkLexicon|lex_p.htm#p30gun|name=p30 gun}}
* {{LinkCatagolue|guntrue_30}}

[[Category:Patterns]]
[[Category:Patterns found in 1970]]
[[Category:Linear growth]]
[[Category:Infinite growth]]
[[Category:Guns]]
[[Category:Guns with period 30| ]]

Dinner table

2025-06-15T22:02:56Z

Roee.s:

{{Oscillator
|name = Dinner table
|pname = dinnertable
|c = 33
|bx = 13
|by = 13
|p = 12
|m = 3
|h = 10.0
|v = 0.55
|sv = 0.53
|symmetry = nrc
|discoverer = Robert Wainwright
|discoveryear = 1972
|rulemin = B3/S23
|rulemax = B378/S23678
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3-cknr/S2-in3ainqr
|isorulemax = B2i34-ajnr5-aqy6-k78/S234-jktw5-i678
|synthesis = 18
|plaintext = true
|rle = true
|animated = yes
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 24 GPS 4 LOOP 12 ]]
|apgcode = xp12_032acy0oge2z0g8ow77ggz23y21226
|pentadecathlonid = 33P12.1
}}
'''Dinner table''' is a {{period|12}} [[oscillator]]. It was the first period 12 oscillator to be found, and was discovered by [[Robert Wainwright]] in {{year|1972}}.<ref>{{CiteLifeline|vol=6|pages=page 3}}</ref><ref>{{CiteHickersonOscillators}}</ref> It consists of four [[eater 1]]s [[hassle|hassling]] a [[pre-beehive]].

[[Image:dinnertable_gen1.png|framed|center|Generation 1 reveals that the object being hassled is a pre-beehive]]

In terms of its minimum population of {{cells|33|text=33 cells}}, it was the smallest known non-trivial period 12 oscillator until the discovery of the {{cells|31|text=31-cell}} [[mold on fire-spitting]].<ref>{{cite web|url=http://pentadecathlon.com/objects/class2/class2.php?part=1 |title=Class 2 Objects Catalog |accessdate=April 9, 2009}}</ref>

It can also be extended as an [[agar]].

{{EmbedViewer
|pname = dinnertableextended
|viewerconfig = #C [[ HEIGHT 600 THUMBSIZE 2 ZOOM 14 AUTOSTART GPS 4 LOOP 12 ]]
|position = center
|caption = An extension of dinner table
|style = width:300px;
}}

== Glider synthesis ==
On September 24, {{year|2021}}, [[wwei47]] posted a final step for a synthesis,<ref name="post136013"/> which [[iNoMed]] used to complete a {{gliders|58}} synthesis.<ref name="post136015"/> Shortly after, [[Kazyan]] reduced the cost down to {{gliders|19|text=19 gliders}}.<ref name="post136015"/> On July 28, {{year|2024}}, [[Carson Cheng]] lowered the cost to {{gliders|18|text=18 gliders}}.<ref name="post190801"/><ref name="j7445612147"/>

== See also ==
* [[Four eaters hassling lumps of muck]]
* [[Roteightor]]

== References ==
<references>
<ref name="j7445612147">{{CiteCatagolueJob|job=7445612147|date=July 28, 2024}}</ref>
<ref name="post136013">{{LinkForumThread
|format = ref
|p = 136013
|title = Re: Synthesising Oscillators
|author = wwei47
|date = September 24, 2021
}}</ref>
<ref name="post136015">{{LinkForumThread
|format = ref
|p = 136015
|title = Re: Synthesising Oscillators
|author = iNoMed
|date = September 24, 2021
}}</ref>
<ref name="post190801">{{LinkForumThread
|format = ref
|p = 190801
|title = Re: Synthesising Oscillators
|author = Carson Cheng
|date = July 28, 2024
}}</ref>
</references>

== External links ==
* {{LinkLexicon|lex_d.htm#dinnertable}}
* {{LinkCatagolue|xp12_032acy0oge2z0g8ow77ggz23y21226}}
* {{LinkPentadecathlonObject|33P12.1}}

__NOTOC__

[[Category:Agars]]

OCA:Tlife

2025-06-15T10:06:28Z

Roee.s: /* B37/S2-i34q */ the preceding link already links to the correct article

{{ambox|text=See forum thread [https://conwaylife.com/forums/viewtopic.php?f=16&t=6235 "Rule definition terminology"] for a discussion of which wording to use on LifeWiki to explain differences between rulestrings / rule definitions}}{{Rule
|name = tlife
|char = Chaotic
|b = 3
|s = 2-i34q
}}
'''tlife''' is a [[non-totalistic cellular automaton]] devised by [[M. I. Wright]] on September 6, 2015. It is very closely related to the much more commonly known rule [[Conway's Game of Life]], differing by only two isotropic survival [[transition (rule definition)|transitions]]. It is likely one of the most-studied [[isotropic non-totalistic]] (INT) rules in existence.

== Rules ==
tlife is identical to Life, save for two transitions expressed in [[Hensel notation]]:

* -S2i: cells with two adjacent cells in a straight orthogonal line (as in [[blinker]]) will die.
* +S4q: cells with four adjacent cells (as in the dense phase of [[beacon]]) will survive.

The two differing transitions, illustrated:

[[File:INT Moore R1 2i.png]] -> 0

[[File:INT_Moore_R1_4q.png]] -> 1

== Patterns ==
Although many patterns from Conway Life still function identically in tlife, some do not; for example, the [[blinker]] dies in tlife, and the [[beacon]] (depending on the phase) is or evolves into an 8-cell still life known as block-tie. Conversely, some patterns from tlife work in normal Life, but some do not.

{|style="float:right;margin-left:16px;margin-bottom:8px;width:100px;"
|{{EmbedViewer
|rle = x = 3, y = 2, rule = B3/S2-i34q
3o$bo!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 3 ZOOM 60 Y -1 AUTOSTART GPS 2 TRACKLOOP 5 0 1/5 ]]
|position = center
|caption = The [[T-tetromino]] spaceship
|apgcode = xq5_27/b3s2-i34q
}}
|-
|{{EmbedViewer
|rle = x = 7, y = 7, rule = B3/S2-i34q
4b2o$3bo2bo$2bob2o$bo2bo$ob2o$obo$bo!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 3 ZOOM 36 AUTOSTART GPS 2 ]]
|position = center
|caption = "Gate Kid" (named after its apgcode), or "honeyloaf p5" (its original name), a period 5 oscillator which works in both tlife and tdrylife
|apgcode = xp5_g8kid52z121/b3s2-i34q
}}
|-
|{{EmbedViewer
|rle = x = 5, y = 6, rule = B3/S2-i34q
$2b2o$b2o$o$b2o!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 3 ZOOM 40 GPS 2 TRACKLOOP 4 -1/4 -1/4 AUTOSTART ]]
|position = center
|caption = Ant, a c/4 diagonal spaceship only slightly larger than the glider.
|apgcode = xq4_1ba4/b3s2-i34q
}}
|}

=== Spaceships ===
{{for|other uses of "Ant"|ants}}
The [[glider]] exists in tlife, and there are two other basic elementary spaceships: a slightly bigger [[c/4 diagonal]] called ''ant'' and a [[non-monotonic]] [[c/5 orthogonal]] (the [[T-tetromino]], usually called simply ''T'' or ''T-ship'').<ref name="tmain" />

Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at [[c/2 orthogonal]] (period 4), is dubbed the ''disemiMWSS'', referencing the fact it looks like two [[middleweight spaceship]]s interacting with each other; there is also a skewed variant. There is also another c/2 orthogonal spaceship that evolves from a phase of the [[queen bee]], which has several minor variants. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, a small-to-medium [[c/4 orthogonal]] ship, and a large 8c/282 orthogonal ship consisting of many copies of a puffer of the same speed.<ref name="ships1" /><ref name="hypership" /> There are [[eater]]s for the glider, T, and ant, as well as for the queen bee ship and its variants.<ref name="tmain"/>

In all, c/2, [[2c/5 orthogonal|2c/5]], 2c/4, 4c/8, [[c/3 orthogonal|c/3]], 2c/6, c/4, c/5, 8c/282, and 8c/187 orthogonal, as well as c/4 and c/5 diagonal<ref name="Luveelc5d" /> spaceships, are known to exist, discounting higher-period c/2 technology.<ref name="ships1"/>

The only named spaceship other than the glider known to function in both CGoL and tlife is the [[crab]]; however, several other, unnamed c/4 diagonal spaceships work in both rules.<ref name="crab">{{LinkForumThread|f=11|t=1831|p=23029|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=September 27, 2015|format=ref}}</ref><ref name="lifeships">{{LinkForumThread|p=39575|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=January 20, 2017|format=ref}}</ref> All known spaceships that function in both B3/S23 and B3/S2-i34q travel at a velocity of c/4d.

=== Oscillators ===

There is a common unloopable [[period]]-160 rotating [[oscillator]] that often evolves from (what would, in normal Life, be) a [[loaf]] predecessor or a [[honey farm]] predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert one into the other.<ref name="tmain"/> There is also a somewhat similar period 33,<ref>{{LinkForumThread|p=30352|title=Re: tlife (B3/S2-i34q)|author=Nico Brown (glider_rider)|date=April 23, 2016|format=ref}}</ref> several p20s based on a failed replicator, a p14 shuttle, a variety of p2 oscillators, small rule-specific period 3, 4, 5, 6, and 8 oscillators,<ref name="tmain"/><ref>{{LinkForumThread|p=24323|title=Re: tlife (B3/S2-i34q)|author=Sphenocorona|date=October 29, 2015|format=ref}}</ref> larger billiard tables of all periods up to 10,<ref name="billiards1">{{LinkForumThread|p=54077|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 14, 2017|format=ref}}</ref><ref>{{LinkForumThread|p=53676|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 22, 2017|format=ref}}</ref> and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks.<ref>{{LinkForumThread|p=27818|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=February 28, 2016|format=ref}}</ref> p4, p6, and p8 [[sparker]]s have also been found, allowing p16 T-hassling oscillators and p6N glider loops for certain N > 4 (exactly which N is unexplored, but it is likely to be all N), as well as p96+40N T shuttles for all N.<ref name="billiards1"/><ref>{{LinkForumThread|p=53787|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 16, 2017|format=ref}}</ref><ref>{{LinkForumThread|p=44057|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=June 4, 2017|format=ref}}</ref> Combinations of lower-period oscillators have also allowed for p12 and p15 [[LCM]]s.

{{EmbedViewer
|rle = x = 8, y = 8, rule = B3/S2-i34q
3bo$b2o$b2o3b2o$o2bo$bob2obo$bo3b2o$2b2ob2o$4bo!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 GPS 20 AUTOSTART ]]
|position = center
|caption = The period-160 rotating oscillator
|style = width:300px;
|apgcode = xp160_3v/b3s2-i34q
}}

=== Infinite growth ===
As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist many guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns.<ref>{{LinkForumThread|p=35966|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=September 20, 2016|format=ref}}</ref> There is also a gun for the ant consisting of 3 interacting p160 oscillators.<ref name="tmain"/> By combining multiple basic guns, larger guns have been formed for the c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an [[over-unity reaction]] supported by reflectors formed from the p33 oscillator.<ref>{{LinkForumThread|p=30990|title=Re: tlife (B3/S2-i34q)|author=Luka Okanishi (AbhpzTa)|date=May 14, 2016|format=ref}}</ref>

Several puffers are known. Most known puffers travel at c/2 orthogonal and use one of three engines: one or more [[B-heptomino]]es escorted by at least two disemiMWSSs, a [[Schick engine]]-like tagalong to a pair of disemiMWSSs, or a p8 engine derived from a 4c/8 ship.<ref>{{LinkForumThread|p=23553|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=October 9, 2015|format=ref}}</ref><ref name="puffer2" /><ref name="ships1"/> These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.<ref name="puffer2"/><ref>{{LinkForumThread|p=23559|title=Re: tlife (B3/S2-i34q)|author=EricG|date=October 9, 2015|format=ref}}</ref> There is also an 8c/282 (mod 141) puffer made up of an ant bouncing between two [[boat]]s, displacing each in a forward direction while creating a block and a forward T, discovered by [[dani]]; [[Luka Okanishi]] used this to construct a large 8c/282 ship.<ref>{{LinkForumThread|p=63228|title=Re: tlife (B3/S2-i34q)|author=dani|date=August 29, 2018|format=ref}}</ref><ref name="hypership"/>

A [[sawtooth]] has been constructed, Sawtooth 1761.<ref>{{LinkForumThread|p=24988|title=Re: tlife (B3/S2-i34q)|author=EricG|date=November 12, 2015|format=ref}}</ref>

There is a [[breeder]] consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.<ref>{{LinkForumThread|p=23565|title=Re: tlife (B3/S2-i34q)|author=EricG|date=October 9, 2015|format=ref}}</ref>

The [[crab]]-based tubstretcher works in tlife.

No spacefillers are currently known.

== Similar rules ==

Various rules similar to tlife have been explored, such as B36/S2-i34q (tHighlife), B37/S2-i34q (tDrylife), and B367/S2-i34q (SilverLife).

=== B36/S2-i34q ===
{{split|OCA:tHighLife}}
{{Rule
|name = tHighLife
|char = Chaotic
|b = 36
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "tHighLife", due to it sharing a B6 transition with {{rl|HighLife}}.

Very interestingly, it has a simple orthogonal [[replicator]] which replicates at 4c/11 orthogonal, very similarly to HighLife's own replicator. [[Luka Okanishi]] used this to construct a 4c/11 orthogonal spaceship.
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 7, y = 5, rule = B36/S2-i34q
2b3o$bo3bo$o5bo$bo3bo$2b3o!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 GPS 8 AUTOSTART T 0 PAUSE 2 T 44 PAUSE 1 LOOP 45 ]]
|position = center
|imgname = thighlifereplicator
|caption = The replicator
|style = width:300px;
|apgcode = zz_REPLICATOR/b36s2-i34q
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 72, y = 27, rule = B36/S2-i34q
8b2o$8b6o19b5o3b5o$2o4b4ob3o19b5o3b5o$bo3bo5b3o19b5o3b5o$bo3b3o3bo$2b
4o$2b2o2bo$2b3obo$3b2obo$5bo16bo$3b2o2bo12bob2o$19b2ob2o$18bobo14b5o27b
5o$17b3o15b5o27b5o$35b5o27b5o$10b2o4b3o24bo$9b2obo4b2o26bo$8b3obo$8bo
2bo10b3o$24b2o2bo$21bo2b2o2bo8b3o5b3o$22bo3b2o8bo3bo3bo3bo$21bobo11bo
5bobo5bo$21bo2b2o10bo3bo3bo3bo$20bo16b3o5b3o$21bo2bo$22b3o!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|imgname = thighlife4c11spaceship
|caption = The 4c/11 spaceship
|style = width:300px;
|apgcode = xq44_4sxokk772ueeyfeeeeexeeeeezw7fdheybgzx11w1y58ca7033y7sssssynssssszy4c6796x133x88ogwgya102zyggd2499221y24ahhha404ahhha4zyh1223/b36s2-i34q
}}}}
{{gallery bottom}}

=== B37/S2-i34q ===
{{split|OCA:tDryLife}}
{{Rule
|name = tDryLife
|char = Chaotic
|b = 37
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "tDryLife" due to its additional B7 transition, analogous to {{rl|DryLife}}.

Unlike DryLife, it is not explosive, and has a lot of very interesting patterns. However, the only two relatively common oscillators are the [[cap]] and the [[toad]], neither with a usable spark, resulting in no guns having been discovered so far (as opposed to the well-known rakes). [[Mango]]es are also much more common than in Life.

Many interesting spaceships have been constructed in this rule. For example, there is a naturally occurring 2c/23 orthogonal spaceship involving the T trying to escape a [[pre-beehive]]. [[Luka Okanishi]] used this spaceship to create other patterns moving at this speed. A T forward rake was also built using known reflections for gliders and Ts when colliding with the 2c/23 spaceship.

{{EmbedViewer
|rle = x = 8, y = 4, rule = B37/S2-i34q
bobo$o2bo2b2o$bobo2b2o$6b2o!
|position = center
|imgname = tdrylife2c23spaceship
|caption = The 2c/23 ship
|apgcode = xq23_2507wee/b37s2-i34q
}}

A c/2 orthogonal spaceship based on 2 [[B-heptomino]]es has been seen to occur naturally.

{{EmbedViewer
|rle = x = 13, y = 17, rule = B37/S2-i34q
5b2o$2b5o$b2obo$b2o3$bo4bo3bo$bo5bo2bo$2bo8bo$8bo2b2o$2b2o4bob3o$bobo
8bo$bo2b2o$o3bo$bo2bo3b2obo$b3o5b3o$10bo!
|position = center
|imgname = tdrylifec2spaceship
|caption = The c/2 ship
|apgcode = xq20_0si2jkg8ozx1w11pgz27dwoo5421/b37s2-i34q
}}

It has a 11c/776 diagonal glide symmetric [[pond]] [[puffer]], which is actually the [[century]]. It parallels the [[R-pentomino]] based 9c/28 orthogonal pond puffer from DryLife. In June 2017, [[Luka Okanishi]] managed to build a 22c/1552 diagonal spaceship using pond puffer interactions.<ref>{{LinkForumThread|f=11|t=2266|p=44806|title=Re: tDryLife|author=Luka Okanishi (AbhpzTa)|date=June 21, 2017|format=ref}}</ref>

{{EmbedViewer
|rle = x = 61, y = 45, rule = B37/S2-i34q
41b2o$40bo2bo$40bo2bo$41b2o3$58b2o$57bo2bo$57bo2bo$58b2o2$30b2o$29bo2b
o$29bo2bo$30b2o3$47b2o$46bo2bo$46bo2bo$47b2o2$19b2o$18bo2bo$18bo2bo$
19b2o2$3o$obo33b2o$o2bo31bo2bo$2o3bo29bo2bo$bo4bo29b2o$5bobo3bo$4b3o4b
2o$12bo$11bo$7b2o2bo$b2o7b2o$b2o4b2o2bo$7bo3bo$8bo3b2o$8bo5bo2$10bob2o
$11b2o!
|position = center
|imgname = tdrylifepondpuffer
|caption = The pond puffer
|apgcode = yl388_1_8_0b4a1c894d6d85ab2d963168dd29a040/b37s2-i34q
}}

Most interestingly, there is a (2,6)c/21 ([[:category:spaceships with slope 3|slope 3]]) [[ship]] [[puffer]]. This can be stabilised into various interesting patterns, such as a two-[[engine]] [[oblique spaceship]] (specifically a camelship). [[Alexey Nigin]] has created a [[quadratic growth]] pattern which uses [[oblique]] spaceships to create pond puffers, based on a reaction discovered by [[Rhombic]]. A much slower quadratic growth pattern was discovered later by Rhombic, based on the synthesis of pond puffers with a T and a pond.

{{EmbedViewer
|rle = x = 56, y = 24, rule = B37/S2-i34q
53bo$48bo2b4o$49b2o4bo$52bobo$42bo8bobo$36b3o3b2ob2o$42b2ob2o3$35bobo$
36bobo$37b2o2$24b2o$24bobo$25b2o2$12b2o$12bobo$13b2o2$2o$obo$b2o!
|position = center
|imgname = tdrylifeshippuffer
|caption = The (12, 4)c/42 ship puffer
|apgcode = yl42_1_6_665e25ae9102cb33b169409d57f1f243/b37s2-i34q
}}

=== B367/S2-i34q ===
{{split|OCA:SilverLife}}
{{Rule
|name = SilverLife
|char = Chaotic
|b = 367
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "SilverLife"; it adds the B6 and B7 outer-totalistic transitions to tlife's rule specification.

It is rich in exotic speeds, including a p91 [[flamingoship]].

{{EmbedViewer
|rle = x = 7, y = 9, rule = B367/S2-i34q
3b3o$2b2ob2o$bobob2o$4b2o$bo2bo$3bo$2o$o$o!
|position = center
|caption = The (6, 1)c/91 flamingoship
|apgcode = xq91_0k27pf6ze201/b367s2-i34q
}}

There is also a 7c/55 diagonal pond puffer.
{{EmbedViewer
|rle = x = 8, y = 8, rule = B367/S2-i34q
6bo$4bo2bo$3b2o$2b3o$b3o2$o$bo!
|position = center
|caption = 7c/55 diagonal pond puffer
|apgcode = yl55_1_16_849ee0a7ef7869a03bd075211a55ded6/b367s2-i34q
}}

== References ==
<references>

<ref name="tmain">{{LinkForumThread
|p = 22549
|title = tlife (B3/S2-i34q)
|author = M. I. Wright
|date = September 13, 2015
|format = ref
}}</ref>

<ref name="ships1">{{LinkForumThread
|f=11|t=1831|p=210251
|title = Re: tlife (B3/S2-i34q)
|author = LuveelVoom
|date = April 19, 2025
|format = raw
}}, in which the first two c/5 diagonals found were shown (at 27 and 29 half-diagonals wide)</ref>
<ref name="Luveelc5d">{{LinkForumThread
|p = 23546
|title = Re: tlife (B3/S2-i34q)
|author = Arie Paap (wildmyron)
|date = November 29, 2016
|format = ref
}}</ref>
<ref name="hypership">{{LinkForumThread
|p = 63228
|title = Re: tlife (B3/S2-i34q)
|author = Luka Okanishi (AbhpzTa)
|date = September 1, 2018
|format = ref
}}</ref>

<ref name="puffer2">{{LinkForumThread
|p = 23563
|title = Re: tlife (B3/S2-i34q)
|author = Sphenocorona
|date = October 9, 2015
|format = ref
}}</ref>

</references>

== External links ==
* {{LinkForumThread|f=11|t=1831|title=tlife}}
* {{LinkForumThread|f=11|t=2265|title=thighlife}}
* {{LinkForumThread|f=11|t=2266|title=tdrylife}}
* {{LinkForumThread|f=11|t=3027|title=SilverLife}}
* {{LinkCatagolueRule|b3s2-i34q|rulename=tlife}}
* {{LinkCatagolueRule|b36s2-i34q|rulename=thighlife}}
* {{LinkCatagolueRule|b37s2-i34q|rulename=tdrylife}}
* {{LinkCatagolueRule|b367s2-i34q|rulename=SilverLife}}

{{dtlc1}}
[[Category:Isotropic non-totalistic rules]]

User talk:Entity Valkyrie 2

2025-06-15T00:09:20Z

Roee.s: /* P30 glider gun */ new section

For the old user talk, please see [[User talk:Old Entity Valkyrie 2]]

Entity Valkyrie is back on the LifeWiki! For the Terms and Conditions under which this change was made, please see [https://conwaylife.com/forums/viewtopic.php?p=84443#p84443 this forum posting]. [[User:Dvgrn|Dvgrn]] ([[User talk:Dvgrn|talk]]) 21:32, 23 October 2019 (UTC)

== "Conflict" pages ==

I've also made several "Conflict" pages dedicated to some editing conflicts I've made in the past. I currently have three: [[User:Entity Valkyrie 2/Bx222 eater removal conflict|Bx222 eater removal conflict]], [[User:Entity Valkyrie 2/Rich's P16 conflict|Rich's P16 conflict]], and [[User:Entity Valkyrie 2/Dependent conduit conflict|Dependent conduit conflict]].

These conflict pages contain only an RLE describing what the conflict was.
[[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 23:42, 23 October 2019 (UTC)

==EmbedViewer==

Do you know why LifeViewer now shows the GUI buttons? Can the default be without the GUI? — Preceding unsigned comment added by [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]] • [[Special:Contributions/Entity Valkyrie 2|contribs]]) 9:06, 4 November 2019 (UTC)

: Probably just a bug. Odds are good that it will be patched in the next build.
: Next time around, if you report this kind of change in behavior directly to Chris Rowett at [https://www.conwaylife.com/forums/viewtopic.php?f=3&t=1622 the main Pattern Viewer thread], he might see it sooner than if you start a whole new thread for one bug report. Also, don't forget the four tildes to sign your questions. Without an identifier, that line could just as well be someone else writing to ask '''you''' that question. [[User:Dvgrn|Dvgrn]] ([[User talk:Dvgrn|talk]]) 14:31, 4 November 2019 (UTC)

::EDIT: This has been fixed. [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 20:25, 4 November 2019 (UTC)

== Oscillators ==
Excuse me, can you add the P5 pipsquirter information ontothe [[pipsquirter]] page? [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 04:53, 11 November 2019 (UTC)
Excuse me, can you also specify what 28P7.4 is? It is mentioned in the site [[pre-pulsar shuttle 28]]. [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 08:10, 11 November 2019 (UTC)

Also, can you please change the page [[User:Entity Valkyrie 2/Rule:StateInvestigator]] to a true Rule: page? This is so that I can LifeView this rule on [[User:Entity Valkyrie 2/StateInvestigator]]. [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 20:50, 22 November 2019 (UTC)

For the page [[Spark]], can you change the definition of "fountain" to "no cells one row behind" and add "superfountain" to mean "no cells two rows behind"? I noticed this because the [[fountain]] itself has cells 2 rows behind. [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 10:12, 27 November 2019 (UTC)

== Temporary ==
{{EmbedViewer
|position = left
|caption = CC 0-degree reflector
|viewerconfig = x = 32, y = 28, rule = B3/S23
o26bo$b2o23bobo$2o24bobo$25b2ob3o$13b2o16bo$13b2o10b2ob3o$25b2obo7$28b
2o$19bo8b2o$18bobo$18bo2bo$19b2o$2b2o$bobo$bo24b2o$2o24b2o5$17b2o$17b
2o!
}}
x = 1323, y = 71, rule = B3/S23
597bo154bobo534b3o$595bobo154b2o535b3o$596b2o29bo11bo113bo41bo54bo54bo
54bo54bo54bo66bo66bo85bo$626bo10b2o156bo54bo54bo54bo54bo54bo66bo66bo
85bo$626b3o9b2o110b2o42bobo52bobo52bobo52bobo52bobo52bobo64bobo64bobo
84bo$751b2o42bo54bo54bo54bo54bo54bo66bo66bo84bobo$750bo4bo39bo54bo54bo
54bo54bo54bo66bo66bo$754bo40bo54bo54bo54bo54bo54bo66bo66bo$754b3o38bo
54bo54bo54bo54bo54bo66bo66bo84bobo$794bobo52bobo52bobo52bobo52bobo52bo
bo64bobo64bobo7bo76bo$795bo54bo54bo54bo54bo54bo66bo66bo6b2o77bo$795bo
54bo54bo54bo54bo54bo66bo66bo7b2o76bo$520bo768b3o$14bobo504b2o766b3o$
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2bo2bo34b2o2bo2bo34b2o2bo2bo34b2o2bo2bo94b2o2bo2bo97b2o2bo2bo34b2o2bo
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o7b2o69b2o2bo2bo7b2o$8bobo755b2o40b2o53b2o53b2o53b2o53b2o53b2o65b2o8bo
4bo51b2o8bo4bo70b2o4b2o3bo2bo3b2o$bo8bo609b2o480b2o54b2ob4ob2o57b2ob4o
b2o74b5o4b5o$b2o617bobo479bobo55bo4bo61bo4bo76b2o3bo2bo3b2o$obo8b2o68b
o227bo254b2ob2o37b2ob2o9bo61b2o40b2o40b2o40b2o53b2o53b2o53b2o53b2o53b
2o11bo5bo47b2o40bobo22b2o84b3o$11bobo68b2o224bo219bobo34bobo39bobo73bo
41bo41bo41bo54bo54bo54bo54bo54bo10b2o54bo41b2o23bo$11bo69b2o225b3o217b
2o35bobo39bobo73bob2o38bob2o38bob2o38bob2o51bob2o51bob2o51bob2o51bob2o
51bob2o7bobo53bob2o38bo24bob2o$100bo428bo34b2ob2o37b2ob2o71b2ob2o37b2o
b2o37b2ob2o37b2ob2o50b2ob2o50b2ob2o50b2ob2o50b2ob2o50b2ob2o62b2ob2o62b
2ob2o81b3o$98b2o28b2ob2o37b2ob2o97b2ob2o100b2ob2o37b2ob2o37b2ob2o37b2o
b2o37b2ob2o37b2ob2o71b2ob2o37b2ob2o37b2ob2o37b2ob2o50b2ob2o50b2ob2o50b
2ob2o50b2ob2o50b2ob2o62b2ob2o62b2ob2o83b3o$84b2o13b2o27b2obo38b2obo98b
2obo101b2obo38b2obo38b2obo38b2obo19b3o16b2obo38b2obo72b2obo38b2obo38b
2obo38b2obo41bobo7b2obo51b2obo51b2obo51b2obo51b2obo63b2obo63b2obo24bo$
85b2o4b2o38bo41bo101bo104bo41bo41bo41bo19bo21bo41bo75bo41bo41bo41bo42b
2o10bo54bo54bo54bo54bo66bo66bo23b2o$84bo6bobo37b2o40b2o100b2o103b2o40b
2o40b2o40b2o19bo20b2o40b2o74b2o40b2o40b2o40b2o35bo5bo11b2o53b2o53b2o
53b2o53b2o65b2o65b2o22bobo58b3o$91bo635bobo97bobo58bo4bo49bo4bo49bo4bo
49bo4bo61bo4bo61bo4bo76b2o3bo2bo3b2o$194bobo530b2o99b2o56b2ob4ob2o45b
2ob4ob2o45b2ob4ob2o45b2ob4ob2o57b2ob4ob2o57b2ob4ob2o74b5o4b5o$194b2o
268b2o40b2o40b2o40b2o74b2o40b2o18bo21b2o40b2o53b2o39bo4bo8b2o39bo4bo8b
2o39bo4bo8b2o39bo4bo8b2o51bo4bo8b2o51bo4bo8b2o66b2o3bo2bo3b2o4b2o$195b
o88bo2bo101bo2bo28b2o8bo2bo29b2o7bo2bo29b2o7bo2bo29b2o7bo2bo29b2o7bo2b
o63b2o7bo2bo29b2o7bo2bo4bo24b2o7bo2bo2b2o25b2o7bo2bo2b2o38b2o7bo2bo2b
2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o50b2o7bo
2bo2b2o50b2o7bo2bo2b2o69b2o7bo2bo2b2o$284b4o101b4o29b2o7b4o38b4o38b4o
38b4o38b4o72b4o38b4o3b2o33b4o2b2o34b4o2b2o25b3o19b4o2b2o47b4o2b2o47b4o
2b2o47b4o2b2o47b4o2b2o59b4o2b2o59b4o2b2o78bo2bo2b2o$94b3o324bo302bobo
107bo461bo2bo$94bo189b4o101b2o34b2o4b2o40b2o40b2o40b2o40b2o74b2o40b2o
40b2o40b2o32bo20b2o53b2o53b2o53b2o53b2o65b2o65b2o$83bo11bo83b2o59bo2bo
40bo2bo101b2o33b2o5b2o40b2o40b2o40b2o40b2o74b2o40b2o40b2o40b2o53b2o53b
2o53b2o53b2o53b2o65b2o65b2o$83b2o93bobo63bo181bo$82bobo95bo2b2o55bo3bo
1055b3o$182b2o6b3o48b4o1055b3o$184bo5bo835bo54bo66bo57b2o7bo85bo$191bo
439b2o393bo54bo66bo58b2o6bo85bo$631bobo391bobo52bobo64bobo56bo7bobo84b
o$291b2o338bo394bo54bo66bo66bo84bobo$291bobo673b2o5bo51bo54bo66bo66bo$
291bo676b2o4bobo49bo54bo66bo66bo$287b3o677bo6b2o50bo54bo66bo66bo84bobo
$289bo735bobo52bobo64bobo64bobo84bo$288bo737bo54bo66bo66bo85bo$1026bo
54bo66bo66bo85bo$1300b3o$969b3o328b3o$306b2o663bo$306bobo661bo$306bo3$
265b3o$267bo$266bo4$307bo$306b2o303b3o$306bobo301bo2bo$613bo$613bo$
610bobo!
[[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 11:50, 14 December 2019 (UTC)

== Request for red link removal ==

Hi there, I noticed that there are a few red links in your pages, for instance the "LOM" (which should be [[LoM]]) and "heisenburps" ([[heisenburp]]s) in [[User:Entity Valkyrie 2/Period-165 MWSS gun]]. Would you like to permit me to edit your pages, cleaning them up so that they point to the correct site? [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 10:17, 27 May 2020 (UTC)

That page is abandoned, but you can fix up red links in all pages that are not in either the EV1 section or in the StateInvestigator section.{{unsigned|Entity Valkyrie 2}}

: Thanks, now the red links like "34p14 shuttle" (the P is uppercase), "GoldTiger997" (the t is lowercase) and "Callahan's G-to-H" (no 's) have been removed. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 09:28, 5 June 2020 (UTC)

== Sudden burst of main-namespace editing in the last week ==

Hello! I've temporarily unchecked the trusted flag for your account, because you seem to have suddenly gone back to your old habit of making dozens of edits all over the LifeWiki very quickly. You haven't talked to anyone about getting permission to edit outside of your User space, have you? Seems like that should have been a requirement before you embark on any new big editing projects.

Your first venture outside your User space was the Bandersnatch article. You did a really good job on that -- there was nothing that needed fixing there at all, which is probably more than I can say about the average article that I create. My only worry was that you still didn't seem to understand or remember the general rule that ''discoverers don't document their own discoveries''. Someone else would have created that article if you hadn't, with no need to worry about you breaking that important rule.

I just did a quick review and found a typo or two in your new edits, and a couple of edits that don't seem to be improvements (but I could be wrong).

I'll look through all your recent edits and post a full list here of everything I had to repair. The length of that list is part of what will determine whether it seems safe to turn the trusted flag back on again for you. I'll check with other moderators first, though, so this process is going to take a while. You still seem to be more likely than any other active LifeWiki editor to damage existing articles in ways that most other editors don't agree with.

For example, one of your edits (to [[Bx222]]) re-creates a change to the article that was ''reverted by Ian07''. Regardless of who was right or wrong, you should pretty much '''never''' do things like that without having a full discussion with the other editor first. A series of reverts and re-edits is called an "edit war", and they're really really worth avoiding at all costs.

So... for now I'm avoiding edit wars by unchecking your trusted flag, but if you have other ideas that you think would work better, please let me know -- by private message on the forums, let's say. Thanks! [[User:Dvgrn|Dvgrn]] ([[User talk:Dvgrn|talk]]) 12:30, 14 June 2020 (UTC)

: Okay, the promise to stick with User namespace edits for now has been renewed, so the trusted flag is back on. Here are my notes from cleanup work so far:

Please refer to me as Entity Valkyrie on the wiki, and Entity Valkyrie 2 on the forums.

:: Honestly this is just too much to expect people to remember -- it's confusing, and ultimately seems like a big waste of everyone's time. Even your own user page isn't consistent about this.

:: I think it still isn't at all clear to anyone why you couldn't just have kept your original "Entity Valkyrie" ID, and stopped worrying so much about this artificial and apparently pointless "Entity Valkyrie" / "Entity Valkyrie 2" distinction.

: 1) Highway robber:
:: A parenthetical expression was added to the article, but the closing parenthesis was left out.

:: I reverted the changes to the RLE. Two eaters were removed from the pattern, allowing three outputs instead of one. It's not clear why that's an improvement. The extra two output gliders can't be used easily for most purposes, because they're 17 lanes or less away from other glider lanes, and you need 18 lanes to split apart two parallel glider streams using Snarks. So in practice, people copying out the RLE will probably want to put those eaters back, or at least know where they would normally go. Removing them reduces the amount of information available, so it amounts to damage to the article. Now that they're back in the pattern, it's really easy for anyone to delete them if they actually want the extra gliders.

:: Also, several extra gliders were added to the RLE. The extra gliders weren't described in the article text, and they don't add any useful information to the pattern -- none of them are on the minimum-clearance lane for the highway robber, or any other significant lane. Here again, people copying the highway-robber pattern for use in a larger construction would always have to delete these gliders -- so why put them into the reference pattern in the first place? They could go in an extra embedded LifeViewer pattern in the text somewhere, but it's better to have just one standard version in the infobox.

: 2) Bx222: I reverted these edits. Definitely not a good idea to make this edit without discussion, since a previous edit along these exact same lines had already been reverted. Discussion could happen on an article's talk page, but for this kind of change -- something that could be a policy change that applies to lots and lots of LifeWiki articles -- a better place would be a new topic on the Tiki Bar. It's definitely okay to start this kind of discussion or ask questions there.

:: Removing the eater5 variant loses important information. The Bx222 can only be connected easily to later conduits, e.g., Fx77, if you know exactly where to place an eater5 variant. Standard eater5s wouldn't fit very well.

:: So here again, if someone is copying this pattern for use in a circuit, it's very easy for them to delete the eater5 variant in the rare situations where it isn't wanted. It isn't at all easy to draw in a working variant eater5 or welded 7x9 eater, once you've removed it to theoretically "make the conduit Spartan". The Bx222 is *not* functionally Spartan, because there are hardly any good ways to connect to it when the eater5 variant is missing. (Are there any known Spartan continuations at all?)

:: It might make some sense to add an embedded LifeViewer showing the different variants, but it makes no sense at all to simply destroy the information about the eater5, without leaving any easy clues in the article about how to get it back.

: 3) H-to-G0:

:: You added a third entry in the top row, and this sentence:
A [[Tub with nine|integral with tub]] in the diagram means that this still life can be removed for an extra glider.

:: It should be "An [[Tub with nine|integral with tub]]", but that's a silly trivial detail, not really a problem at all. Another detail you didn't notice is that when you added the third H-to-G0, there was a "two" in the previous sentence that should have been changed to "three". It would be nice if you could plan and review carefully enough so that you notice when your changes to a pattern mean that the description has to change. But again, everybody makes mistakes like this all the time, and other editors fix them, and nobody thinks all that much about it.

:: The addition of the integral-with-tail markers is actually the only troublesome change. This is a total judgment call on my part, but I went ahead and removed the integral-with-tub markers.

:: They would be kind of a good idea in some contexts, but in the H-to-G0 pattern and article they ultimately just add clutter and make the H-to-G0 topic harder to understand. There are three problems with the integral-with-tail markers:
::: * They highlight a detail that's ultimately irrelevant to the function of the H-to-G0,
::: * they require extra editing by people copying out the pattern to use an H-to-G0, and
::: * they're not used anywhere else on the LifeWiki, so to make things consistent we'd have to commit to a huge amount of editing of other conduit pages, for no clear benefit. If you're looking for extra glider outputs, it's just plain not that difficult to run the pattern and see which eaters are suppressing gliders. But usually when you want an H-to-G0, you want it because it's a H-to-G0, not because it's an H-to-G0-with-a-random-extra-glider-going-some-other-way.

: ... That's as far as I've gotten for now. Long way to go yet, but hopefully this is a start at explaining my point of view on these recent edits. Questions and comments are welcome. [[User:Dvgrn|Dvgrn]] ([[User talk:Dvgrn|talk]]) 11:57, 15 June 2020 (UTC)

:Can't the bandersnatch be used to separate the gliders in the highway robber? [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 12:32, 15 June 2020 (UTC)

== A minor question regarding a 2018 edit ==

Why was "a glider stream of repeat time 52" [https://conwaylife.com/w/index.php?title=Rephaser&diff=47082&oldid=45643 explicitly mentioned] in the [[rephaser]] article? Without the context, it seems a bit odd to exemplify the phase adjustion at a period higher than the repeat time of both bumpers and Snarks. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 03:39, 2 August 2022 (UTC)

: I think this example was used because it was necessary for the original [[Period-52 glider gun]]. [[User:Entity Valkyrie 2|Entity Valkyrie 2]] ([[User talk:Entity Valkyrie 2|talk]]) 03:43, 2 August 2022 (UTC)

:: That makes sense. I have edited the page to clarify that. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 03:58, 2 August 2022 (UTC)

== P30 glider gun ==

I started a discussion in [[talk:Period-30 glider gun|Period 30 glider gun's talk page]] about a paragraph you wrote which I think is incorrect. Would you like to join the discussion before I edit it? (changing the "three" to "two") [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 00:09, 15 June 2025 (UTC)

Talk:Period-30 glider gun

2025-06-12T12:43:41Z

Roee.s: /* Where is the third one? */

== Where is the third one? ==

It says there are three reactions between two queen bee shuttles that produce a glider other than the Gosper glider gun but only two are shown.

Note that I don't think the one shown under them with the clock should count since if it counts then other reactions with oscillators with periods that divide 30 should count too, like this one by Tropylium:

{{EmbedViewer
|position = center
|rle = x = 27, y = 39, rule = B3/S23
22bo$20b3o$19bo$19b2o8$14b2o3b2o2$15bo3bo$16b3o$16b3o3$bo2b2o4b2o2bo$o
3b3o2b3o3bo$bo2b2o4b2o2bo2b3o$17b3o$16bo3bo$15bo5bo$16bo3bo$17b3o8$20b
2o$20bo$21b3o$23bo!
|viewerconfig = #C [[ THUMBSIZE 2 GPS 10 AUTOSTART ]]
}}
[[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 09:49, 12 June 2025 (UTC)
:The three include the Gosper glider gun. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 11:58, 12 June 2025 (UTC)
:: But it says "'''Other''' than the Gosper glider gun", so unless I don't understand this English expression the statement in the article is incorrect. [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 12:43, 12 June 2025 (UTC)

Talk:Period-30 glider gun

2025-06-12T09:49:31Z

Roee.s: /* Where is the third one? */ new section

Tub-with-tail eater

2024-06-08T18:26:44Z

Roee.s: /* Variants */

{{Stilllife
|name = Tub-with-tail eater
|pname = eater5
|type = constellation
|type2 = eater
|c = 12
|bx = 9
|by = 6
|rulemin = B3/S23
|rulemax = B3678/S023678
|isorulemin = B3aijnr/S23-eiky
|isorulemax = B34-aejnr5-cn678/S0234-akry5-ijq678
|synthesis = 5
|plaintext = true
|rle = true
|animated = true
|apgcode = xs12_08ka23zcc
|viewerconfig = #C [[ ZOOM 48 ]]
}}
The '''tub-with-tail eater''' (or '''eater 5'''), commonly abbreviated to '''TWIT''', is an [[eater]] composed of a [[block]] and a [[tub with tail]].

It is capable of eating [[glider]]s from two perpendicular directions. Upon impact at the upper tip, the tub with tail becomes a [[melusine]]-like pattern, and then this [[trans-loaf with tail]] [[predecessor]] hits the block to restore the [[tub]] [[motif]] while triggering a [[grin]]. It is generally used to absorb gliders in situations where the standard eater is insufficient, particularly because of its edge-eating ability; an example can be found in [[p61 Herschel loop 2]].

{{EmbedViewer
|pname = eater5eatinggliders
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 AUTOSTART GPS 5 PAUSE 2 T 10 PAUSE 2 LOOP 30 ]]
|position = center
|caption = Tub-with-tail eater eating gliders from different directions
|style = width:300px;
}}

The eater 5 can be constantly renewed and hassled with an [[eater 1]], giving the [[eater/block frob]].

== Variants ==

Variants using different [[still life]]s are possible. For instance, the block can be replaced with a more complicated [[catalyst]], or extra catalysts like [[eater bridge eater]] and [[grin reagent]] can be added to perturb the block. Eaters created in this way form a significant proportion of Dean Hickerson's eater collection.

A commonly applicable 10×6 variant<ref>{{LinkCatagolue|xs17_624871z25a8o|style=raw|patternname=xs17_624871z25a8o}}</ref> uses a [[long hook with tail]] to catalyze the reaction, whose [[clearance]] at the top is one cell better than the block. This is shown below to the left. This improvement allows for quicker removal of the [[first natural glider]] from a [[Herschel]], which can be used to compress [[Herschel loop]]s with a period of 57~60; see for example [[p57 Herschel loop 1]] and [[Simkin's p60]].

If there is additional clearance requirement on the left or right, variants as a single still life with higher population are available. One is a 25-cell, 8×8 still life<ref>{{LinkCatagolue|xs25_c9b8o696z352w56|style=raw|patternname=xs25_c9b8o696z352w56}}</ref>, which can be seen in the middle of [[R64]] and a {{gliders|21}} [[Glider synthesis|synthesis]] for it was found by [[Martin Grant]] in July {{year|2013}}.<ref name="post8565" /> Another 27-cell variant<ref>{{LinkCatagolue|xs27_j5ogilmzd586221|style=raw|patternname=xs27_j5ogilmzd586221}}</ref> found by [[Dave Greene]] on February 6, {{year|2003}} is named '''7×9 eater''' for its [[bounding box]] with thinnest horizontal size, as shown below to the right. Both of these instances contain a [[boat]] part instead of the tub with tail, and the gliders hit it in specific ways to make an intermediate [[nine]].

{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname = eater5variant
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = A variation of the tub-with-tail eater using a long hook with tail
}}
|{{EmbedViewer
|pname = 7by9eater
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 ]]
|caption = 7×9 eater, shown with incident glider [[lane]]s
}}
{{EmbedViewer
|rle = x = 12, y = 13, rule = B3/S23
11bo$7bo2b2o$2o5bobo$bo5b3o$bobo$2b2o$8bo$6b3o$5bo$3b3ob4o$2bo4bo2bo$
3b3o$5b2o!
|position = center
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 20 GPS 20 ]]
|caption = This catalyst is equivalent to a tub with tail eater in situations where lack of clearance doesn't allow any of the smaller forms. This is used in a [[Pi-heptomino hasslers#p132|p132 pi-heptomino hassler]].
}}
|}

== See also ==
* [[Fishhook|Eater 1]]
* [[Eater 2]]
* [[Eater 3]]
* [[Eater 4]]
* [[Sidesnagger]]
* [[Eater/block frob]]
* [[Tutorials/Catalyses#Tub-with-tail eater (eater 5)|Tub-with-tail eater catalyses]]

== References ==
<references>
<ref name="post8565">{{LinkForumThread
|format = ref
|p = 8565
|title = Re: Scratch Your Heads: Glider Synthesis of Bellman One
|author = Martin Grant
|date = July 20, 2013
}}</ref>
</references>

== External links ==
* {{LinkLexicon|filename=lex_e.htm#eater5|name=Eater 5}}
* {{LinkLexicon|lex_1.htm#a-7x9eater|patternname=7×9 eater}}
* {{LinkCatagolue|xs12_08ka23zcc|format=pseudo-object}}
* {{LinkNiemiec|cons.htm#cons-12|patternname=6 easily-constructible twelve-bit constellations}} (12e5)

[[Category:Catalysts]]
[[Category:Eaters]]
{{GliderNavbox}}
__NOTOC__

User talk:HotdogPi

2024-06-08T18:26:02Z

Roee.s: /* Who discovered this p132 pi-heptomino hassler variant? */

=="[[Oscillator|Two Gabriel's p138 hassling block]]"==
Hey, could you please give me an apgcode for this? I can't seem to find it in any pattern collections or on the forums or Discord. [[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 21:45, 12 May 2021 (UTC)

{{EmbedViewer
|rle = 35b3o$35bo2bo$35bo2bo$37b2o4$26b3o$25bo2bo$25bo$25b3o15b3o$45bo$42bo2b
o$16b2o24b3o$16b2o3$32b2o$32bo2bo$32bo2bo$33b3o2$10b3o$10bo2bo$10bo2bo
$12b2o4$b3o$o2bo$o$3o15b3o$20bo$17bo2bo$17b3o4$7b2o$7bo2bo$7bo2bo$8b3o!
|position = left
|viewerconfig = #C [[ GPS 60 THUMBSIZE 2 ]]
|caption = Here it is [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 00:04, 13 May 2021 (UTC)
}}

== p29 pre-pulsar shuttle ==

Hello, I changed the redirect [[Prime]] because I saw this is another (referenced) name for [[p29 pre-pulsar shuttle]]. Before changing I checked to make sure there were no links using redirect [[Prime]]. Is this reasoning invalid? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:56, 5 June 2022 (UTC)
:Sorry. I didn't realize this was actually the name of an object. I thought you were going through the list of primes (having just done 23) and clicked the wrong thing by accident. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 19:59, 5 June 2022 (UTC)
::Should the redirect be changed back or left as it is? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 20:07, 5 June 2022 (UTC)
:::I don't really have a preference. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 20:09, 5 June 2022 (UTC)
::::A better way is to make a disambiguation page for both meanings, which I have done. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 02:51, 6 June 2022 (UTC)

== HF shuttles ==

Re: [https://conwaylife.com/w/index.php?title=Period-60_honey_farm_hasslers&curid=26776&diff=118660&oldid=118491 this] -- was it a bad idea to split shuttles by period? If so, I can revert [[Honey farm shuttles]] back to [https://conwaylife.com/w/index.php?title=Honey_farm_shuttles&oldid=118447 this revision] and manually re-add later additions. Is there a significant likelihood that a lot more HF shuttles will be found and that page will become unreasonably long? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:30, 18 November 2022 (UTC)
* They could be listed in both places. Before the split, maybe about 15-20% of hasslers were shuttles, so I don't expect it to get unreasonably long. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 14:35, 18 November 2022 (UTC)
:* Listing them in both places would be nice if it was done automatically. Otherwise, the main page [[Honey farm shuttles]] will probably inevitably become out of sync with the by-period "Period-N honey farm hasslers#Shuttles" sections. I think I'll restore the single-page [[Honey farm shuttles]] several hours later, unless someone objects to that. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:46, 18 November 2022 (UTC)

== X (disambiguation) ==

Re: [https://conwaylife.com/w/index.php?title=P61_gun&diff=128792&oldid=128778 this] -- I thought it's actually the other way round, and "X (disambiguation)" is preferred to "X". For example, {{CategoryLink|Disambiguation pages|style=inline}} lists pages [[p44 gun (disambiguation)]], [[p46 gun (disambiguation)]], [[p52 gun (disambiguation)]]. Am I missing something? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:12, 12 April 2023 (UTC)
: Wikipedia says that (disambiguation) in the title is only to be used if the form without it is an article or a redirect to an article, not a redirect to the same disambiguation page. It might not apply on LifeWiki. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 16:33, 12 April 2023 (UTC)

== Names ==

The edit summaries in [https://conwaylife.com/w/index.php?title=Honey_farm_hasslers&curid=20193&diff=132051&oldid=131509 1], [https://conwaylife.com/w/index.php?title=Die_hard&curid=842&diff=132052&oldid=130596 2] are potentially misleading for other editors. The first column in [[User:77topaz/Forum handles table]] is "Preferred name for credits", which is reasonable as not everyone wants to go by their real name. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:44, 6 June 2023 (UTC)

== Reply on your comment ==

You said: Somewhat related: I feel like I was a bit premature with [[OCA:Grounded Life/List of common objects]]. While the page should still exist, should it be renamed to the rulestring? [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 12:20, 10 September 2023 (UTC)

I do not think so - I think that it should be consistant between the rule and the list of common objects as it could lead to confusion. Haycat2009

== Delete spam pages ==

Recently, cvojan created spam pages with offensive content. Can you delete these pages please? [[User:Haycat2009|Haycat2009]] ([[User talk:Haycat2009|talk]]), with a mission to defend the wiki. 09:01, 5 November 2023 (UTC)

== [[List of common catalysts]] ==
One catalysts is [[PT8P]]. [[User:Spaceship|Spaceship]] ([[User talk:Spaceship|talk]])

== Who discovered this [[Pi-heptomino_hasslers#p132|p132 pi-heptomino hassler]] variant? ==

Several days after the first such hassler was found [https://conwaylife.com/w/index.php?title=Tub-with-tail_eater&diff=139605&oldid=139555 you added] a variant of it to the page [[tub-with-tail eater]] as it uses a variant of said eater. Later most of the hassler was deleted from there and instead there is now only the small eater reaction with a link to the page [[pi-heptomino hasslers]], where I inserted the complete variant.

When I did that I noticed that many of the hasslers there have credit to the person who found them, but I wasn't sure who found this one. It doesn't appear to be on your [[User:HotdogPi/My discoveries/Period 101+|relevant discovery page]] and your edit description didn't give me much to go for either. Do you recall (or can find somewhere) any record of who discovered this variant, in order to give them their due credit? Thanks! [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 18:46, 28 May 2024 (UTC)
:Nico Brown, 10/22/23. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 19:00, 28 May 2024 (UTC)
:: Both the original hassler and the variant on the right? [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 06:03, 7 June 2024 (UTC)
::: I don't know, unfortunately. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 09:38, 7 June 2024 (UTC)
:::: I see now I got it all wrong. What I called "the variant on the right" is actually the original. It's all fixed now. [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 18:26, 8 June 2024 (UTC)

== hotdogpi recieved a gift from tommyaweosme! ==
{{User:Tommyaweosme/giftbox|hotdogpi's gift|for solving so many problems on conwaylife.com i will make you a rule that i think you will have fun exploring. b3-k/s1e2-k3-kyq and its called hotdogrule!}}

Pi-heptomino hasslers

2024-06-08T18:21:22Z

Roee.s: /* p132 */

{{Glossary}}{{HasslerList}}
A '''pi-heptomino hassler''' is an [[oscillator]] that [[hassle]]s one or more copies of the [[pi-heptomino]], which is the [[List of common evolutionary sequences|third most common evolutionary sequence]] and second place if symmetry is taken into account.<ref group=note>Pi-heptominoes have twofold symmetry, so they are twice as likely to appear in the same position as it would if it was asymmetric. This puts it above the R-pentomino.</ref> Hasslers are known for the following [[period]]s:

<center>
{|class="wikitable"
! colspan="16" | Small pi-heptomino hassler known periods
|-

| style="background:#dddddd;text-align:center" | 2
| style="background:#dddddd;text-align:center" | 3
| style="background:#dddddd;text-align:center" | 4
| style="background:#dddddd;text-align:center" | 5
| style="background:#c6efce;text-align:center" | [[#p6|6]]
| style="background:#ffc7ce;text-align:center" | 7
| style="background:#ffc7ce;text-align:center" | 8
| style="background:#ffc7ce;text-align:center" | 9
| style="background:#ffc7ce;text-align:center" | 10
| style="background:#ffc7ce;text-align:center" | 11
| style="background:#c6efce;text-align:center" | [[#p12|12]]
| style="background:#c6efce;text-align:center" | [[#p13|13]]
| style="background:#c6efce;text-align:center" | [[#p14|14]]
| style="background:#c6efce;text-align:center" | [[#p15|15]]
| style="background:#c6efff;text-align:center" | [[Period-16 pi-heptomino hasslers|16]]
| style="background:#ffc7ce;text-align:center" | 17
|-
| style="background:#c6efce;text-align:center" | [[#p18|18]]
| style="background:#ffc7ce;text-align:center" | 19
| style="background:#c6efce;text-align:center" | [[#p20|20]]
| style="background:#c6efce;text-align:center" | [[#p21|21]]
| style="background:#c6efce;text-align:center" | [[#p22|22]]
| style="background:#c6efce;text-align:center" | [[#p23|23]]
| style="background:#c6efff;text-align:center" | [[Period-24 pi-heptomino hasslers|24]]
| style="background:#c6efce;text-align:center" | [[#p25|25]]
| style="background:#c6efce;text-align:center" | [[#p26|26]]
| style="background:#ffc7ce;text-align:center" | 27
| style="background:#c6efff;text-align:center" | [[Period-28 pi-heptomino hasslers|28]]
| style="background:#ffc7ce;text-align:center" | 29
| style="background:#c6efff;text-align:center" | [[Period-30 pi-heptomino hasslers|30]]
| style="background:#ffc7ce;text-align:center" | 31
| style="background:#c6efff;text-align:center" | [[Period-32 pi-heptomino hasslers|32]]
| style="background:#c6efce;text-align:center" | [[#p33|33]]
|-
| style="background:#c6efce;text-align:center" | [[#p34|34]]
| style="background:#c6efff;text-align:center" | [[Period-35 pi-heptomino hasslers|35]]
| style="background:#c6efce;text-align:center" | [[#p36|36]]
| style="background:#c6efce;text-align:center" | [[#p37|37]]
| style="background:#c6efce;text-align:center" | [[#p38|38]]
| style="background:#c6efce;text-align:center" | [[#p39|39]]
| style="background:#c6efff;text-align:center" | [[Period-40 pi-heptomino hasslers|40]]
| style="background:#c6efce;text-align:center" | [[#p41|41]]
| style="background:#c6efff;text-align:center" | [[Period-42 pi-heptomino hasslers|42]]
| style="background:#c6efce;text-align:center" | [[#p43|43]]
| style="background:#c6efff;text-align:center" | [[Period-44 pi-heptomino hasslers|44]]
| style="background:#c6efff;text-align:center" | [[Period-45 pi-heptomino hasslers|45]]
| style="background:#c6efce;text-align:center" | [[#p46|46]]
| style="background:#c6efce;text-align:center" | [[#p47|47]]
| style="background:#c6efff;text-align:center" | [[Period-48 pi-heptomino hasslers|48]]
| style="background:#c6efce;text-align:center" | [[#p49|49]]
|-
| style="background:#c6efff;text-align:center" | [[Period-50 pi-heptomino hasslers|50]]
| style="background:#c6efce;text-align:center" | [[#p51|51]]
| style="background:#c6efce;text-align:center" | [[#p52|52]]
| style="background:#c6efce;text-align:center" | [[#p53|53]]
| style="background:#c6efff;text-align:center" | [[Period-54 pi-heptomino hasslers|54]]
| style="background:#c6efce;text-align:center" | [[#p55|55]]
| style="background:#c6efff;text-align:center" | [[Period-56 pi-heptomino hasslers|56]]
| style="background:#ffc7ce;text-align:center" | 57
| style="background:#c6efce;text-align:center" | [[#p58|58]]
| style="background:#c6efce;text-align:center" | [[#p59|59]]
| style="background:#c6efce;text-align:center" | [[#p60|60]]
| style="background:#c6efce;text-align:center" | [[#p61|61]]
| style="background:#ffc7ce;text-align:center" | 62
| style="background:#c6efce;text-align:center" | [[#p63|63]]
| style="background:#c6efff;text-align:center" | [[Period-64 pi-heptomino hasslers|64]]
| style="background:#c6efce;text-align:center" | [[#p65|65]]
|-
| style="background:#ffc7ce;text-align:center" | 66
| style="background:#ffc7ce;text-align:center" | 67
| style="background:#c6efce;text-align:center" | [[#p68|68]]
| style="background:#c6efce;text-align:center" | [[#p69|69]]
| style="background:#c6efce;text-align:center" | [[#p70|70]]
| style="background:#ffc7ce;text-align:center" | 71
| style="background:#c6efce;text-align:center" | [[#p72|72]]
| style="background:#ffc7ce;text-align:center" | 73
| style="background:#c6efce;text-align:center" | [[#p74|74]]
| style="background:#c6efff;text-align:center" | [[Period-75 pi-heptomino hasslers|75]]
| style="background:#c6efce;text-align:center" | [[#p76|76]]
| style="background:#c6efce;text-align:center" | [[#p77|77]]
| style="background:#c6efce;text-align:center" | [[#p78|78]]
| style="background:#c6efce;text-align:center" | [[#p79|79]]
| style="background:#c6efce;text-align:center" | [[#p80|80]]
| style="background:#c6efce;text-align:center" | [[#p81|81]]
|-
| style="background:#c6efce;text-align:center" | [[#p82|82]]
| style="background:#ffc7ce;text-align:center" | 83
| style="background:#c6efff;text-align:center" | [[Period-84 pi-heptomino hasslers|84]]
| style="background:#ffc7ce;text-align:center" | 85
| style="background:#c6efce;text-align:center" | [[#p86|86]]
| style="background:#c6efce;text-align:center" | [[#p87|87]]
| style="background:#c6efce;text-align:center" | [[#p88|88]]
| style="background:#ffc7ce;text-align:center" | 89
| style="background:#c6efce;text-align:center" | [[#p90|90]]
| style="background:#ffc7ce;text-align:center" | 91
| style="background:#c6efce;text-align:center" | [[#p92|92]]
| style="background:#ffc7ce;text-align:center" | 93
| style="background:#c6efce;text-align:center" | [[#p94|94]]
| style="background:#c6efce;text-align:center" | [[#p95|95]]
| style="background:#c6efce;text-align:center" | [[#p96|96]]
| style="background:#ffc7ce;text-align:center" | 97
|-
| style="background:#ffc7ce;text-align:center" | 98
| style="background:#ffc7ce;text-align:center" | 99
| style="background:#c6efce;text-align:center" | [[#p100|100]]
| style="background:#ffc7ce;text-align:center" | 101
| style="background:#ffc7ce;text-align:center" | 102
| style="background:#ffc7ce;text-align:center" | 103
| style="background:#c6efce;text-align:center" | [[#p104|104]]
| style="background:#c6efce;text-align:center" | [[#p105|105]]
| style="background:#c6efce;text-align:center" | [[#p106|106]]
| style="background:#ffc7ce;text-align:center" | 107
| style="background:#c6efce;text-align:center" | [[#p108|108]]
| style="background:#ffc7ce;text-align:center" | 109
| style="background:#ffc7ce;text-align:center" | 110
| style="background:#ffc7ce;text-align:center" | 111
| style="background:#c6efce;text-align:center" | [[#p112|112]]
| style="background:#ffc7ce;text-align:center" | 113
|-
| style="background:#c6efce;text-align:center" | [[#p114|114]]
| style="background:#ffc7ce;text-align:center" | 115
| style="background:#ffc7ce;text-align:center" | 116
| style="background:#c6efce;text-align:center" | [[#p117|117]]
| style="background:#ffc7ce;text-align:center" | 118
| style="background:#c6efce;text-align:center" | [[#p119|119]]
| style="background:#c6efff;text-align:center" | [[Period-120 pi-heptomino hasslers|120]]
| style="background:#c6efce;text-align:center" | [[#p121|121]]
| style="background:#ffc7ce;text-align:center" | 122
| style="background:#ffc7ce;text-align:center" | 123
| style="background:#ffc7ce;text-align:center" | 124
| style="background:#c6efce;text-align:center" | [[#p125|125]]
| style="background:#c6efce;text-align:center" | [[#p126|126]]
| style="background:#ffc7ce;text-align:center" | 127
| style="background:#c6efce;text-align:center" | [[#p128|128]]
| style="background:#c6efce;text-align:center" | [[#p129|129]]
|-
| style="background:#ffc7ce;text-align:center" | 130
|-
! colspan="16" |
|-
| style="background:#c6efce;text-align:center" | [[#p132|132]]
| style="background:#c6efce;text-align:center" | [[#p134|134]]
| style="background:#c6efce;text-align:center" | [[#p146|146]]
| style="background:#c6efce;text-align:center" | [[#p147|147]]
| style="background:#c6efce;text-align:center" | [[#p148|148]]
| style="background:#c6efce;text-align:center" | [[#p152|152]]
| style="background:#c6efff;text-align:center" | [[Period-156 pi-heptomino hasslers|156]]
| style="background:#c6efce;text-align:center" | [[#p158|158]]
| style="background:#c6efce;text-align:center" | [[#p159|159]]
| style="background:#c6efce;text-align:center" | [[#p160|160]]
| style="background:#c6efce;text-align:center" | [[#p168|168]]
| style="background:#c6efce;text-align:center" | [[#p171|171]]
| style="background:#c6efce;text-align:center" | [[#p172|172]]
| style="background:#c6efce;text-align:center" | [[#p182|182]]
| style="background:#c6efce;text-align:center" | [[#p186|186]]
| style="background:#c6efce;text-align:center" | [[#p196|196]]
|-
| style="background:#c6efce;text-align:center" | [[#p208|208]]
| style="background:#c6efce;text-align:center" | [[#p220|220]]
| style="background:#c6efce;text-align:center" | [[#p249|249]]
| style="background:#c6efce;text-align:center" | [[#p276|276]]
|-
! colspan="16" |
|-
| style="background:#ffffff;text-align:right" colspan="1" | Key:
| style="background:#c6efce;text-align:center" colspan="3" | known
| style="background:#ffc7ce;text-align:center" colspan="3" | unknown {{refn|group=note|Despite a pi-heptomino being perturbed in the [[Rectifier]] reaction, [[adjustable glider loop]]s at periods ≥ 106 are not usually regarded as Pi-heptomino hasslers, as they can be adjusted so that the evolution of Pi-heptomino sequence takes up a very small portion of space and time during a period.}}
| style="background:#c6efff;text-align:center" colspan="9" | known, shown on a separate page
|}
</center>




==p6==

{{EmbedViewer
|pname = p6piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 3 STARTFROM 3 ]]
|position = center
|caption = p6 found by Carson Cheng<ref name="post151913"/>
|style = width:300px;
}}

==p12==
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 46, y = 49, rule = B3/S23
38bo$37bobo$37bobo$36b2ob3o$31b2o2bo6bo$31bo2bob5obo$21bo10bobobobob2o
$8bo12b3o7b2obo2b2o$7b3o8bo5bo13bob4o$5b2o3bo7b6obo5b2o7bo2bo$5b3o2b2o
11bobo5bo6b2o$10bobo5b2ob2o2b2o5bo2b3o$2b2o2b4ob3o4b2ob2obo4b3o$2b2obo
4bo3bo6b2obo3bo9b2o$bobobob2obo3b2o7bo5bo3bo3bo$2o3bob2obobobo11b4o2bo
bo3b2o$bo3bo4bob2o11bo4b3obo3bo$2b3ob4o2b2o11b2o2bo4bobobo$3bobo13b3o
8b3ob2o3bo$4b2o2b3o7bo3bo9bo4bobo$5bo3b2o6bo5bo$6b3o8bo5bo$7bo9b3ob3o
2$27b3ob3o$27bo5bo$27bo5bo$11bobo4bo9bo3bo$11bo3b2ob3o8b3o$12bobobo4bo
2b2o9bobo4bo$12bo3bob3o4bo9bo3b2ob3o$11b2o3bobo2b4o11bobobo4bo$13bo3bo
3bo5bo8bo3bob3o$11b2o9bo3bob2o5b2o3bobo$19b3o4bob2ob2o4bo3bo$13b3o2bo
5b2o2b2ob2o2b2o$11b2o6bo5bobo16b2o$10bo7b2o5bob6o4b3o3bobo$8b3obo13bo
5bo2b2o6bo$7bo4b2o2bob2o7b3o2bobo7b2o$8b3obobobobo10bo3b2obo$10b5obo2b
o16b2o2bob2o$15bo2b2o13b2obobobobo$8b4ob2o17bob5obo2bo$8bo2bobo18bo6bo
2b2o$11bobo19b3ob2o$12bo22bobo$35bobo$36bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 6 ]]
|position = center
|caption = p12 found by [[Caleb R. Hilton]] based on a partial by [[hotcrystal0]].<ref name="post180899" /> Shown here with interchangeable p6 and p12 stabilisations.
|style = width:300px;
}}}}
{{gallery bottom}}

==p13==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p13piheptominowick
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 7 ]]
|position = center
|caption = p13 found by [[Matthias Merzenich]] on November 29, {{year|2019}} based on a [[wick]] by [[Jason Summers]]<ref name="post85862" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p13piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 7 ]]
|position = center
|caption = p13 found by [[EvinZL]] on September 2, {{year|2021}} based on a partial by [[David Raucci]]<ref name="post135504" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p14==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p14piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 7 ]]
|position = center
|caption = p14 found by b3s23love on August 19, {{year|2023}} based on a partial by Carson Cheng the same day
|style = width:300px;
}}}}
{{gallery bottom}}

==p15==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p15piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 8 ]]
|position = center
|caption = p15 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p15piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 8 ]]
|position = center
|caption = p15 found by w33z8kqrqk8zzzw33 and iNoMed, with a substantial reduction to the big sparker by Scorbie<ref name="message1029351199847235594"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p18==

{{EmbedViewer
|pname = p18piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 9 ]]
|position = center
|caption = p18 found by [[Mitchell Riley]] on August 27, {{year|2022}}<ref name="post150246"/>
|style = width:300px;
}}

==p20==

{{EmbedViewer
|pname = p20piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 10 ]]
|position = center
|caption = p20 found by [[Carson Cheng]] on February 19, {{year|2023}}
|style = width:300px;
}}

==p21==

{{EmbedViewer
|pname = p21piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 11 ]]
|position = center
|caption = p21 found by David Raucci
|style = width:300px;
}}

==p22==
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 19, y = 28, rule = B3/S23
4bo4b2o$3bobo3b2o$4bo2$8b3o$8b2o$8b3o3$18bo$16b3o$2b2o11bo$3bo11b2o$3o
$o3$8b3o$9b2o$8b3o2$14bo$8b2o3bobo$8b2o4bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 11 ]]
|position = center
|caption = p22 domino sparker, found by Mitchell Riley on July 23, {{year|2022}}. Also a [[century]] hassler.
|style = width:300px;
|apgcode = xp22_y47vgw252zgy4631z1156y76a8ozy38smzx4a4xfe
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 26, y = 18, rule = B3/S23
10b2o$10b2o2$bo13b2o$o2bo5b3o3bo$o2bo5b2o$2bo6b2o13bo$11bo10bo2bo$2bo
19bo2bo$o2bo19bo$o2bo10bo$bo13b2o6bo$15b2o5bo2bo$10bo3b3o5bo2bo$9b2o
13bo2$14b2o$14b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 11 ]]
|position = center
|caption = p22 found by [[Mitchell Riley]] on April 21, {{year|2023}}. The two p22s in this section share many similarities and even a few cells are the same throughout the entire cycle, but they are distinct enough to be considered different.
|style = width:300px;
}}}}
{{gallery bottom}}

==p23==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p23piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 12 ]]
|position = center
|caption = [[70P23]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p23piheptominohassler202304
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 12 ]]
|position = center
|caption = [[112P23]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p25==

{{EmbedViewer
|pname = p25piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 13 ]]
|position = center
|caption = p25 found by iNoMed on July 6, 2023<ref name="message1126509111635361902"/>
|style = width:300px;
}}

==p26==

{{EmbedViewer
|rle = x = 63, y = 73, rule = B3/S23
23bobobobo$22bob2ob2obo$20b3o7b3o$19bo4b2ob2o4bo$19bo2b2obobob2o2bo$18b
2obo3bobo3bob2o$19bobob3ob3obobo$19bobob2o3b2obobo23bo$20bo11bo22b5o$
54bo5bo$25b3o12b2o13b3o2bo$25b3o13bo16bob2o$25b3o13bobo5b2o6b2o3bo$25b
3o14b2o4b4o7bobo$25bobo19b6o3b4ob2o$20b2o3b3o18b2o4b3o$20bo26b6o3b4ob
2o$17b2obo27b4o7bobo$17bob2ob2o25b2o6b2o3bo$22bo8bo26bob2o$22bobo5bob
o8bobo11b3o2bo$23b2o4bo3bo7bo8b2o2bo5bo$30bobo8bob2o5b2o3b5o$31bo25bo
2$31bo25bo$25b2o3bobo8bob2o5b2o3b5o$25b2o2bo3bo7bo8b2o2bo5bo$30bobo8b
obo11b3o2bo$31bo26bob2o$49b2o6b2o3bo$5bo42b4o7bobo$3b5o39b6o3b4ob2o$2b
o5bo16b2o9b2o8b2o4b3o$2bo2b3o13b2o2b2o9b2o9b6o3b4ob2o$b2obo16bo20b2o4b
4o7bobo$o3b2o6b2o5bobo19bobo5b2o6b2o3bo$bobo7b4o4b2o9b3o8bo16bob2o$2o
b4o3b6o9b2o2bo3bo2b2o2b2o13b3o2bo$8b3o4b2o8b2o2b2ob2o2b2o16bo5bo$2ob4o
3b6o39b5o$bobo7b4o42bo$o3b2o6b2o$b2obo$2bo2b3o9bo5bo4bo$2bo5bo2b2o3b2o
5b2ob2ob2o5b2o$3b5o3b2o4bo5bo4bo7b2o$5bo2$5bo$3b5o3b2o4bo5bo4bo$2bo5b
o2b2o3b2o5b2ob2ob2o7b2o$2bo2b3o9bo5bo4bo9bobo$b2obo35bo$o3b2o6b2o25b2o
b2obo$bobo7b4o27bob2o$2ob4o3b6o26bo$8b3o4b2o18b3o3b2o$2ob4o3b6o19bobo
$bobo7b4o4b2o14b3o$o3b2o6b2o5bobo13b3o$b2obo16bo13b3o$2bo2b3o13b2o12b
3o$2bo5bo$3b5o22bo11bo$5bo23bobob2o3b2obobo$29bobob3ob3obobo$28b2obo3b
obo3bob2o$29bo2b2obobob2o2bo$29bo4b2ob2o4bo$30b3o7b3o$32bob2ob2obo$33b
obobobo!
|pname = p26piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 13 ]]
|position = center
|caption = p26 shuttle found by [[googleplex]] on March 20, 2024
|style = width:300px;
}}

==p33==

{{EmbedViewer
|pname = p33piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 16.5 ]]
|position = center
|caption = p33 found by Nico Brown on June 25, 2023<ref name="message11226700028484158845"/>
|style = width:300px;
}}

==p34==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 74p34
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 17 ]]
|position = center
|caption = [[74P34]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p34piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 17 ]]
|position = center
|caption = [[120P34]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p36==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p36piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 18 ]]
|position = center
|caption = p36 found by iNoMed on July 12, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p36piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 18 ]]
|position = center
|caption = p36 found by [[Period1GliderGun]] on August 13, {{year|2023}}, and reduced by squareroot12621<ref name="post165055"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p37==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 132p37
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = p37 ([[Beluchenko's other p37]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p37piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = p37 found by [[Period1GliderGun]] on April 2, {{year|2024}} based on a partial by cvojan
|style = width:300px;
}}}}
{{gallery bottom}}

==p38==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p38piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 20 ]]
|position = center
|caption = p38, found by [[David Raucci]] and reduced by [[iNoMed]]<ref name="post177480"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p39==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p39piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 20 ]]
|position = center
|caption = p39 ([[p39 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p39piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
|position = center
|caption = p39 found by [[iNoMed]] on May 3, {{year|2023}} based on a partial by Mitchell Riley. Both dimer and monomer forms shown
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p39c4piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
|position = center
|caption = p39 found by [[Nico Brown]] on June 1, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p41==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p41piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = [[p41 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = vexstabilisation
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 2.5 GPS 19 ]]
|position = center
|caption = [[Vex]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p43==

{{EmbedViewer
|pname = p43piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = [[p43 pi-heptomino hassler]]
|style = width:300px;
}}
==p46==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = tannersp46
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 23 ]]
|position = center
|caption = [[Tanner's p46]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p46piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 23 ]]
|position = center
|caption = p46 found by Carson Cheng on August 20, {{year|2022}}, based on a partial by Mitchell Riley; reduced by iNoMed. Reduced to not include twin bees shuttle on September 2, {{year|2023}}.<ref name="post166243"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p46piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 23 ]]
|position = center
|caption = p46 found by iNoMed on October 17, {{year|2023}}<ref name="post169277"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p47==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p47piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 24 ]]
|position = center
|caption = p47 found by Mitchell Riley on August 4, 2023
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p47d4xpiheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 24 ]]
|position = center
|caption = p47 found by Nico Brown on March 6, 2024
|style = width:300px;
}}}}
{{gallery bottom}}

==p49==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p49rpentominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 24.5 STARTFROM 27 ]]
|position = center
|caption = [[p49 R-pentomino hassler]], which also doubles as a pi hassler
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p49pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 24.5 ]]
|position = center
|caption = [[p49 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p51==

{{EmbedViewer
|pname = p51piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 26 ]]
|position = center
|caption = p51 found by Matthias Merzenich based on a partial by Mitchell Riley<ref name="post157243" />
|style = width:300px;
}}

==p52==

{|
|{{EmbedViewer
|pname = p52piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26 ]]
|position = center
|caption = p52 found by Mitchell Riley on April 5, {{year|2023}}. Two stabilisations are shown: the [[heavyweight emulator]] is simpler, but a stable form also exists.
|style = width:300px;
}}
|{{EmbedViewer
|pname = p52piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 4 GPS 26 ]]
|position = center
|caption = p52 found by [[David Raucci]] on November 24, 2023
|style = width:300px;
}}
|}

==p53==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p53piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26.5 ]]
|position = center
|caption = p53 found by Nico Brown on June 25, {{year|2023}}.<ref name="post162952"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p53piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26.5 ]]
|position = center
|caption = p53 found by Mitchell Riley on July 3, {{year|2023}}. Used to form the smallest known [[Period-53 glider gun|p53 glider gun]].
|style = width:300px;
}}}}
{{gallery bottom}}

==p55==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p55piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 27.5 ]]
|position = center
|caption = p55 found by David Raucci based on a partial by Carson Cheng<ref name="message1037769689738248324" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p55piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 27.5 ]]
|position = center
|caption = p55 found by Nico Brown on May 31, 2023<ref name="message1113622014662545450" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p58==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 29 ]]
|position = center
|caption = 54P58 ([[p58 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29 ]]
|position = center
|caption = 68P58 found by Mitchell Riley<ref>The pi-heptomino doesn't appear but two instances of its three-generation descendant are hassled. Occurrences in the mvr_catforce_stdin census on Catagolue with different stator: {{LinkCatagolue|xp58_y664koy08k871zz0178cy5c4ogy9g88czwg8gy53210g8oy5121z6221y91346y562sgzzy8gs252y0354c|patternname=80P58|style=nobullet}}</ref>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29 ]]
|position = center
|caption = p58 weak lightweight sparker, found by iNoMed based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p59==

{{EmbedViewer
|pname = p59piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29.5 ]]
|position = center
|caption = [[p59 pi-heptomino hassler]], found by Mitchell Riley on April 4, 2023<ref name="post160080" />
|style = width:300px;
}}

==p60==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p60piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 30 ]]
|position = center
|caption = p60 found by Mitchell Riley on May 10, 2023<ref name="post161369" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p60piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 30 ]]
|position = center
|caption = p60 found by [[hotcrystal0]] on June 15, 2023 based on a partial by David Raucci<ref name="post162680" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p61==

{{EmbedViewer
|pname = p61piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 30.5 ]]
|position = center
|caption = p61 found by Mitchell Riley on December 12, 2022<ref name="message1051780635578077185"/><ref>{{LinkForumThread|format=ref|p=154792|title=Re: Oscillator Discussion Thread|author=Mitchell Riley|date=December 13, 2022}}</ref>
|style = width:300px;
|apgcode = xp61_yddb8oz0oggmicggkcx6513zca260743zy066y74ehryfok46zy1ggkcyfc4ogy7ggzy11yi321y7gh1g08ozytggxok47o7k55dzyoc88r221y411zyq32
}}

==p63==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p63piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 31.5 ]]
|position = center
|caption = p63 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p63piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 31.5 ]]
|position = center
|caption = p63 found by Nico Brown
|style = width:300px;
}}}}
{{gallery bottom}}

==p65==

{{EmbedViewer
|pname = p65piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 34 ]]
|position = center
|caption = p65 found by Matthias Merzenich in a dimer form on March 15, 2023, based on a partial result by Mitchell Riley, and reduced by David Raucci, Jormungant, hotcrystal0, and Matthias Merzenich<ref name="post159147"/>
|style = width:300px;
}}

==p68==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p68piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 34 ]]
|position = center
|caption = p68 found by Luke Kiernan on October 1, {{year|2022}}, and reduced by iNoMed on the same day
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p68piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 34 ]]
|position = center
|caption = p68 found by iNoMed on October 5, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p69==

{{EmbedViewer
|pname = p69piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p69 found by Matthias Merzenich and Mitchell Riley on March 7, {{year|2023}}, and reduced by iNoMed on the same day<ref name="post158676"/>
|style = width:300px;
}}

==p70==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 found by Luke Kiernan on August 11, {{year|2022}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 domino sparker, found by Carson Cheng on August 5, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p72==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p72lumpsofmuckhassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 32 STARTFROM 33 ]]
|position = center
|caption = p72 found by [[Carson Cheng]] on August 10, {{year|2022}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p72piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 32 ]]
|position = center
|caption = p72, found by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p72piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 32 ]]
|position = center
|caption = p72, found by Nico Brown on October 20, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p74==

{{EmbedViewer
|pname = p74piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p74 found by [[Tanner Jacobi]] based on a partial by [[Mitchell Riley]]<ref name="message994788190143651841"/>
|style = width:300px;
}}

==p76==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 38 ]]
|position = center
|caption = p76 ([[p76 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominohassler4
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 38 ]]
|position = center
|caption = p76 found by [[iNoMed]] on May 6, {{year|2023}} based on a partial by [[Mitchell Riley]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 38 ]]
|position = center
|caption = [[p76 pi-heptomino shuttle]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p77==

{{EmbedViewer
|pname = p77pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 38.5 ]]
|position = center
|caption = p77 found by glider_rider on November 3, {{year|2022}}.<ref name="message1037786692179992657"/>
|style = width:300px;
}}

==p78==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p78piheptominohassler
|viewerconfig = #C [[ HEIGHT 520 THUMBSIZE 2 ZOOM 10 GPS 39 ]]
|position = center
|caption = p78 found by Carson Cheng on May 26, {{year|2023}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p78piheptominohassler2
|viewerconfig = #C [[ HEIGHT 520 THUMBSIZE 2 ZOOM 8 GPS 39 ]]
|position = center
|caption = p78 found by Nico Brown on October 26, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p79==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p79pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 39.5 ]]
|position = center
|caption = p79 ([[p79 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p79piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 39.5 ]]
|position = center
|caption = p79 found by Nico Brown on June 1, 2023
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p79picenturyhassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 39.5 ]]
|position = center
|caption = p79 found by iNoMed on September 28, 2023 based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p80==

{{EmbedViewer
|pname = p80pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 40 ]]
|position = center
|caption = p80 found by [[Arie Paap]] and [[praosylen]] on October 8, {{year|2018}} with reductions by [[Chris Cain]] and Matthias Merzenich<ref name="post159147"/>
|style = width:300px;
}}

==p81==

{{EmbedViewer
|pname = p81piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 41 ]]
|position = center
|caption = p81 found iNoMed on October 12, {{year|2023}}; p81 engine by [[Luke Kiernan]] on July 6, 2022, p27 sparker by Carson Cheng on August 15, 2022
|style = width:300px;
}}

==p82==

{{EmbedViewer
|pname = p82pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 41 ]]
|position = center
|caption = p82 found by [[Entity Valkyrie]]<ref name="post148649"/>
|style = width:300px;
}}

==p86==

{{EmbedViewer
|pname = p86piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 43 ]]
|position = center
|caption = p86 found by Mitchell Riley and reduced by iNoMed
|style = width:300px;
}}

==p87==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 84p87
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 44 STARTFROM 50 ]]
|position = center
|caption = [[84P87]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = cappedp87gun
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 44 ]]
|position = center
|caption = Capped p87 glider gun
|style = width:300px;
}}}}
{{gallery bottom}}

==p88==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 49p88
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 44 ]]
|position = center
|caption = p88 ([[49P88]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p88piblonktiehassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 44 ]]
|position = center
|caption = p88 found by David Raucci on July 4, {{year|2023}} based on a partial by Mitchell Riley. It is also a [[blonk-tie]] [[blonk-tie hasslers|hassler]].
|style = width:300px;
}}}}
{{gallery bottom}}

==p90==

{{EmbedViewer
|pname = p90piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 45 ]]
|position = center
|caption = p90 found by Mitchell Riley on March 30, {{year|2023}}
|style = width:300px;
}}

==p92==

{{EmbedViewer
|pname = p92piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 46 ]]
|position = center
|caption = p92 found by Carson Cheng on October 1, {{year|2022}} using the [[speed tunnel]] reaction
|style = width:300px;
}}

==p94==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p94piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 47 ]]
|position = center
|caption = p94 found by Nico Brown and reduced by iNoMed
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = 54p94
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 47 STARTFROM 39 ]]
|position = center
|caption = p94 ([[54P94]])
|style = width:300px;
}}}}
{{gallery bottom}}

==p95==

{{EmbedViewer
|pname = p95piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 47 ]]
|position = center
|caption = p95 found by Mitchell Riley on November 15, {{year|2022}}<ref name="post153589"/>. See [[thunderbird]] for its use as a sparker in a p190.
|style = width:300px;
}}

==p96==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 48 ]]
|position = center
|caption = p96 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 48 ]]
|position = center
|caption = p96 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 48 ]]
|position = center
|caption = p96 found by Carson Cheng and reduced by iNoMed
|style = width:300px;
}}}}
{{gallery bottom}}

==p100==

{{EmbedViewer
|pname = p100piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 46 ]]
|position = center
|caption = p100, found by Nico Brown on November 13, {{year|2022}}<ref name="post153483"/>
|style = width:300px;
}}

==p104==

{{EmbedViewer
|pname = p104piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 52 ]]
|position = center
|caption = p104, found by Nico Brown on October 29, {{year|2023}}, and reduced by hotcrystal0 and Evin<ref name="post170134"/>
|style = width:300px;
}}

==p105==

{{EmbedViewer
|pname = p105pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 52 ]]
|position = center
|caption = p105, found by [[Period1GliderGun]] on March 9, {{year|2024}} based on a partial by [[cvojan]] on October 1, {{year|2022}}, and reduced by iNoMed the next day<ref name="post180023"/>
|style = width:300px;
}}

==p106==

{{EmbedViewer
|pname = p106piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 8 GPS 53 ]]
|position = center
|caption = p106, found by iNoMed on January 9, {{year|2024}}, and reduced by the same person on January 12<ref name="post175501"/>
|style = width:300px;
}}

==p108==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p108piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 54 ]]
|position = center
|caption = p108 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p108piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 54 ]]
|position = center
|caption = p108 found by Carson Cheng on May 16, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p112==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p112piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 56 ]]
|position = center
|caption = p112 found by JP21 based on a partial by David Raucci<ref name="post148088"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p112piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 56 ]]
|position = center
|caption = p112 found by Carson Cheng on May 8, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p114==

{{EmbedViewer
|pname = p114piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 57 ]]
|position = center
|caption = Capped p114 glider gun found by David Raucci
|style = width:300px;
}}

==p117==

{{EmbedViewer
|pname = p117piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p117 found by Mitchell Riley on April 5, {{year|2023}}
|style = width:300px;
}}

==p119==

{{EmbedViewer
|pname = 72p119
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 59 ]]
|position = center
|caption = [[72P119]]
|style = width:300px;
}}

==p121==

{{EmbedViewer
|pname = p121piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p121, found by iNoMed on October 1, 2023 based on a partial by Mitchell Riley<ref name="post168229" />
|style = width:300px;
}}

==p125==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p125piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p125 found by praosylen
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p125piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p125 found by Carson Cheng on January 26, {{year|2023}}<ref name="post156472"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p126==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p126 found by praosylen and Matthias Merzenich based on a partial by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p126 found by David Raucci and reduced by [[Christopher D'Agostino]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p126 found by iNoMed on November 15, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p128==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p128piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p128 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p64andp128piheptominohasslers
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p64 and related p128, found by EvinZL (p128) and [[iNoMed]] (p64) on October 16, {{year|2022}}.<ref name="message1031207640174428190" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p128piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p128 found by Nico Brown on October 20, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p129==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p129piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p129 found by iNoMed on September 21, 2023 based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p129piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p129 found by iNoMed on October 10, 2023<ref name="message1161199350769270794"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p132==
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 54, y = 48, rule = B3/S23
16b2o$17b3o18bo$12bo2bo4bo16bobo$12b4ob3o17bobo$17bo18b2ob3o$14b3o25b
o$6b2o6bo21b2ob3o$7bo11b2o15b2obo$7bobo9bobo$8b2o11bo11b2o$21b2o12bo2$
35bo$2bo34b2o$obo30b2o2b2o$bobo$bo6b2ob2o$8bo3bo$9b3o$2b2o$bobo$bo18b
3o$2o20bo$21bo$32bo$31bo20b2o$31b3o18bo$50bobo$50b2o$42b3o$41bo3bo$41b
2ob2o6bo$50bobo$15b2o2b2o30bobo$15b2o34bo$18bo2$18bo12b2o$19b2o11bo11b
2o$32bobo9bobo$14bob2o15b2o11bo$12b3ob2o21bo6b2o$11bo25b3o$12b3ob2o18b
o$14bobo17b3ob4o$14bobo16bo4bo2bo$15bo18b3o$36b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 60 ]]
|position = center
|caption = found by Nico Brown on October 21, 2023, reduced by [[AlbertArmStain]] the same day. It uses an [[tub-with-tail eater|eater 5]] variant that has better clearance than the original in the top and bottom.
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p132piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 60 ]]
|position = center
|caption = A further reduction by an unknown person.
|style = width:300px;
}}}}
{{gallery bottom}}

==p134==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p134piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 GPS 67 ]]
|position = center
|rle = x = 56, y = 119, rule = B3/S23
28bo$27bobo$28bo$19bo$19bobo4b5o$18bobo5bo4bo$20bo8bo2bo$29b2obo2bo$26b
o5bobobo$25bobo4bo2bo$25bo2bo2b2o$26b2o4$5bo26b2o$4bobo20b2o2bobo$3bo
b2o11b2o7bo3bo4bo$3bo13bo2bo7b3ob5o$2obo13bo2bo9bobo$ob2obobo10b2o10b
obob3o$4bob2o23b2obo2bo$4bo31b2o$3b2o2$24b2o$23b2o$25bo3$11b2o25b2o$11b
2o22b2o2bo$35bob2o2$29b2o5b3o$14bob2o13bo3bo2bo$12b3ob2o12b2o4b2o$11b
o16bo$12b3ob2o9b2ob2o$14b2o2bo8bo2b2o$17b2o8bo2bo$28b2o3$28b2o$28b2o6$
17b2o34b2o$17b2o20b2o12bo$38bobo4bo8bo$38bo5bobo6b2o$b2o35bobo3bo2bo4b
o$2bo36b2o5bo5b3o$2bobo50bo$3b2o49b2o2$2o49b2o$o50bobo$b3o5bo5b2o36bo
$3bo4bo2bo3bobo35b2o$b2o6bobo5bo$bo8bo4bobo$2bo12b2o20b2o$b2o34b2o6$26b
2o$26b2o3$26b2o$25bo2bo8b2o$24b2o2bo8bo2b2o$24b2ob2o9b2ob3o$27bo16bo$
18b2o4b2o12b2ob3o$17bo2bo3bo13b2obo$17b3o5b2o2$17b2obo$16bo2b2o22b2o$
16b2o25b2o3$30bo$31b2o$30b2o2$51b2o$18b2o31bo$18bo2bob2o23b2obo$19b3o
bobo10b2o10bobob2obo$23bobo9bo2bo13bob2o$19b5ob3o7bo2bo13bo$19bo4bo3b
o7b2o11b2obo$22bobo2b2o20bobo$22b2o26bo4$28b2o$23b2o2bo2bo$20bo2bo4bo
bo$19bobobo5bo$20bo2bob2o$23bo2bo8bo$24bo4bo5bobo$25b5o4bobo$36bo$27b
o$26bobo$27bo!
|caption = found by Period1GliderGun on February 1, 2024, based on a partial by Mitchell Riley.<ref name="post177164"/> Supported by unstabilized [[141P134]]s.
|style = width:300px;
}}}}
{{gallery bottom}}

==p146==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p146piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 60 ]]
|position = center
|caption = [[p146 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p146piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p146 pi-heptomino shuttle, found by Tanner Jacobi<ref name="post148412"/><ref name="message998666185430274148"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p147==

{{EmbedViewer
|pname = p147piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p147 found by EvinZL based on a partial by David Raucci
|style = width:300px;
}}

==p148==

{{EmbedViewer
|pname = p148piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p148 found by iNoMed on January 14, {{year|2023}} based on a partial by Luke Kiernan<ref name="post155943"/>
|style = width:300px;
}}

==p152==

{{EmbedViewer
|pname = p152piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p152 found by ljkiernan1
|style = width:300px;
}}

==p158==

{{EmbedViewer
|pname = p158piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p158 found by iNoMed on September 28, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}

==p159==

{{EmbedViewer
|pname = p159piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p159 found by iNoMed on September 18, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}

==p160==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p160piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p160 found by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p160piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p160 found by Mitchell Riley on September 5, {{year|2022}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p168==

{{EmbedViewer
|pname = piorbital
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p168 ([[pi orbital]])
|style = width:300px;
}}

==p171==

{{EmbedViewer
|pname = p171piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p171 found by Mitchell Riley on September 7, {{year|2022}} as a partial to be completed, not noticed as already complete as-is until February 18, {{year|2024}}<ref name="post178449"/>
|style = width:300px;
}}

==p172==

{{EmbedViewer
|pname = p172piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 3 GPS 60 ]]
|position = center
|caption = p172 found by Caleb R. Hilton <ref name="post185446"/>
|style = width:300px;
}}

==p182==

{{EmbedViewer
|pname = p182pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p182, found by EvinZL on November 14, {{year|2021}},<ref name="post137664"/> and reduced by iNoMed in January {{year|2023}}<ref name="post156735"/>
|style = width:300px;
}}

==p186==

{{EmbedViewer
|pname = p186pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p186, found by EvinZL on September 26, {{year|2022}}<ref name="post151382"/>
|style = width:300px;
}}

==p196==

{{EmbedViewer
|pname = p196pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p196 ([[p196 pi-heptomino hassler]])
|style = width:300px;
}}

==p208==

{{EmbedViewer
|pname = p208piheptominohassler
|viewerconfig = #C [[ HEIGHT 560 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p208, found by [[Period1GliderGun]] on February 16, 2024 based on a partial by Mitchell Riley<ref name="post178262" />
|style = width:300px;
}}

==p220==

{{EmbedViewer
|pname = p220piheptominohassler
|viewerconfig = #C [[ HEIGHT 560 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p220, found by praosylen<ref name="post133107" />
|style = width:300px;
}}

==p249==

{{EmbedViewer
|rle = x = 66, y = 57, rule = B3/S23
31bo$16bo14b3o$16b3o15bo11b2o$19bo13b2o10bobo$18b2o25bo$36bo7b2o$35b3o
$34b2o2b2o4b4o$39b3o2bo2bo$39b3o4bo$39bo2bo4b3o$34b2o2b4o7bo$35bob2ob
2o$36b3o$2o31b2o$2o30b2obo$33bo2bo$34b2obob2o8b2o$24b3o9b6o7bobo$23bo
2bo4b2o5bo2bo5bobo2bobo$5b2o15bo3bo4b2o2b7o5b2o2b2ob3o$5b2o15bo12b2o3b
o16bo$22bo3bo9bo14b2ob3o$23bo2bo24b2obo$24b3o8$39b3o$11bob2o24bo2bo$9b
3ob2o14bo9bo3bo$8bo16bo3b2o12bo15b2o$9b3ob2o2b2o5b7o2b2o4bo3bo15b2o$11b
obo2bobo5bo2bo5b2o4bo2bo$14bobo7b6o9b3o$15b2o8b2obob2o$29bo2bo$30bob2o
30b2o$31b2o31b2o$27b3o$24b2ob2obo$16bo7b4o2b2o$16b3o4bo2bo$19bo4b3o$18b
o2bo2b3o$18b4o4b2o2b2o$28b3o$20b2o7bo$20bo25b2o$18bobo10b2o13bo$18b2o
11bo15b3o$32b3o14bo$34bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p249, found by iNoMed on April 6, {{year|2023}}<ref name="post160166"/>
|style = width:300px;
}}

==p276==

{{EmbedViewer
|rle = x = 50, y = 95, rule = B3/S23
21b2o5b2o$21b2o5b2o12$23b2ob2o$22bo5bo2$21bo7bo$21bo2bobo2bo$21b3o3b3o
9$21b2o$21b2o5$12bo26b2o3bo$12b3o23bo2bobobo2bo$15bo22bob2obob4o$14b2o
21b2o4bo$22b3o12bo2bobob5o$21bo3bo12bobobobobo2bo$21b2o2b2o12bo2bo2bo
2b2o$20bo2bob2o11bobob2o$21bobo2bo12b2obo2bo$18b3o3bo12bo2bob4o$17b2o
3bo5b3o6b2obobo$16bo12b2o7bobo2b3o$17b2o19bobo4bo$18bo20bo2$10bo14bo$
4bo4bobo13bobo$4b3o2bobo13bobo$7bobob2o13bo$4b4obo2bo$4bo2bob2o$6b2obo
bo$2o2bo2bo2bo$o2bobobobobo$b5obobo2bo$6bo4b2o21b2o$b4obob2obo22bo$bo
2bobobo2bo23b3o$5bo3b2o26bo5$27b2o$27b2o9$20b3o3b3o$20bo2bobo2bo$20bo
7bo2$21bo5bo$22b2ob2o12$20b2o5b2o$20b2o5b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 5 GPS 60 ]]
|position = center
|caption = Capped p276 glider gun, found by Caleb R. Hilton on July 22, {{year|2023}}
|style = width:300px;
}}

==See also==
* {{CategoryLink|Oscillators with specific hassled object}}

==Notes==
<references group=note/>

==References==
<references>
<ref name="message994788190143651841">{{CiteDiscord
|author = Tanner Jacobi
|date = July 7, 2022
|channel = cgol
|id = 994788190143651841
}}</ref>
<ref name="message998666185430274148">{{CiteDiscord
|author = Tanner Jacobi
|date = July 18, 2022
|channel = cgol
|id = 998666185430274148
}}</ref>
<ref name="message1029351199847235594">{{CiteDiscord
|author = Scorbie
|date = October 11, 2022
|channel = cgol
|id = 1029351199847235594
}}</ref>
<ref name="message1031207640174428190">{{CiteDiscord
|author = iNoMed
|date = October 16, 2022
|channel = cgol
|id = 1031207640174428190
}}</ref>
<ref name="message1037769689738248324">{{CiteDiscord
|author = David Raucci
|date = November 3, 2022
|channel = cgol
|id = 1037769689738248324
}}</ref>
<ref name="message1037786692179992657">{{CiteDiscord
|author = glider_rider
|date = November 3, 2022
|channel = cgol
|id = 1037786692179992657
}}</ref>
<ref name="message1051780635578077185">{{CiteDiscord
|author = iNoMed 
|date = December 12, 2022
|channel = cgol
|id = 1051780635578077185
}}</ref>
<ref name="message1113622014662545450">{{CiteDiscord
|author = glider_rider
|date = May 31, 2023
|channel = cgol
|id = 1113622014662545450
}}</ref>
<ref name="message11226700028484158845">{{CiteDiscord
|author = Nico Brown
|date = June 25, 2023
|channel = cgol
|id = 1122670002848415884
}}</ref>
<ref name="message1126509111635361902">{{CiteDiscord
|author = iNoMed
|date = July 6, 2023
|channel = cgol
|id = 1126509111635361902
}}</ref>
<ref name="message1161199350769270794">{{CiteDiscord
|author = iNoMed
|date = October 10, 2023
|channel = cgol
|id = 1161199350769270794
}}</ref>
<ref name="post85862">{{LinkForumThread
|format = ref
|p = 85862
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = November 29, 2019
}}</ref>
<ref name="post133107">{{LinkForumThread
|format = ref
|p = 133107
|title = Re: Oscillator Discussion Thread
|author = praosylen
|date = July 5, 2021
}}</ref>
<ref name="post135504">{{LinkForumThread
|format = ref
|p = 135504
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = September 2, 2021
}}</ref>
<ref name="post137664">{{LinkForumThread
|format = ref
|p = 137664
|title = Re: Oscillator Discussion Thread
|author = EvinZL
|date = November 14, 2021
}}</ref>
<ref name="post148088">{{LinkForumThread
|format = ref
|p = 148088
|title = Re: Oscillator Discussion Thread
|author = JP21
|date = July 9, 2022
}}</ref>
<ref name="post148412">{{LinkForumThread
|format = ref
|p = 148412
|title = Re: Oscillator Discussion Thread
|author = Tanner Jacobi
|date = July 18, 2022
}}</ref>
<ref name="post148649">{{LinkForumThread
|format = ref
|p = 148649
|title = Re: Oscillator Discussion Thread
|author = Entity Valkyrie
|date = July 25, 2022
}}</ref>
<ref name="post150246">{{LinkForumThread
|format = ref
|p = 150246
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = August 27, 2022
}}</ref>
<ref name="post151382">{{LinkForumThread
|format = ref
|p = 151382
|title = Re: Oscillator Discussion Thread
|author = EvinZL
|date = September 26, 2022
}}</ref>
<ref name="post151913">{{LinkForumThread
|format = ref
|p = 151913
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = October 8, 2022
}}</ref>
<ref name="post153483">{{LinkForumThread
|format = ref
|p = 153483
|title = Re: Oscillator Discussion Thread
|author = Nico Brown
|date = November 13, 2022
}}</ref>
<ref name="post153589">{{LinkForumThread
|format = ref
|p = 153589
|title = Re: Oscillator Discussion Thread
|author = Chris857
|date = November 15, 2022
}}</ref>
<ref name="post155943">{{LinkForumThread
|format = ref
|p = 155943
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 14, 2023
}}</ref>
<ref name="post156472">{{LinkForumThread
|format = ref
|p = 156472
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = January 26, 2023
}}</ref>
<ref name="post156735">{{LinkForumThread
|format = ref
|p = 156735
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 30, 2023
}}</ref>
<ref name="post157243">{{LinkForumThread
|format = ref
|p = 157243
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = February 9, 2023
}}</ref>
<ref name="post158676">{{LinkForumThread
|format = ref
|p = 158676
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = March 7, 2023
}}</ref>
<ref name="post159147">{{LinkForumThread
|format = ref
|p = 159147
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = March 17, 2023
}}</ref>
<ref name="post160080">{{LinkForumThread
|format = ref
|p = 160080
|title = Re: Oscillator Discussion Thread
|author = AlbertArmStain
|date = April 4, 2023
}}</ref>
<ref name="post160166">{{LinkForumThread
|format = ref
|p = 160166
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = May 10, 2023
}}</ref>
<ref name="post161369">{{LinkForumThread
|format = ref
|p = 161369
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = April 6, 2023
}}</ref>
<ref name="post162680">{{LinkForumThread
|format = ref
|p = 162680
|title = Re: Oscillator Discussion Thread
|author = hotcrystal0
|date = June 15, 2023
}}</ref>
<ref name="post162952">{{LinkForumThread
|format = ref
|p = 162952
|title = Re: Oscillator Discussion Thread
|author = Nico Brown
|date = June 25, 2023
}}</ref>
<ref name="post165055">{{LinkForumThread
|format = ref
|p = 165055
|title = Re: Oscillator Discussion Thread
|author = squareroot12621
|date = August 13, 2023
}}</ref>
<ref name="post166243">{{LinkForumThread
|format = ref
|p = 166243
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = September 2, 2023
}}</ref>
<ref name="post168229">{{LinkForumThread
|format = ref
|p = 168229
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = October 1, 2023
}}</ref>
<ref name="post169277">{{LinkForumThread
|format = ref
|p = 169277
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = October 17, 2023
}}</ref>
<ref name="post170134">{{LinkForumThread
|format = ref
|p = 170134
|title = Re: Oscillator Discussion Thread
|author = Evin
|date = October 29, 2023
}}</ref>
<ref name="post175501">{{LinkForumThread
|format = ref
|p = 175501
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 12, 2024
}}</ref>
<ref name="post177164">{{LinkForumThread
|format = ref
|p = 177164
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 2, 2024
}}</ref>
<ref name="post177480">{{LinkForumThread
|format = ref
|p = 177480
|title = Re: Oscillator Discussion Thread
|author = David Raucci
|date = February 6, 2024
}}</ref>
<ref name="post178262">{{LinkForumThread
|format = ref
|p = 178262
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 16, 2024
}}</ref>
<ref name="post178449">{{LinkForumThread
|format = ref
|p = 178449
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 18, 2024
}}</ref>
<ref name="post180023">{{LinkForumThread
|format = ref
|p = 180023
|title = Re: Oscillator Discussion Thread
|author = David Raucci
|date = March 10, 2024
}}</ref>
<ref name="post180899">{{LinkForumThread
|format = ref
|p = 180899
|title = Re: Oscillator Discussion Thread
|author = Caleb R. Hilton
|date = March 27, 2024
}}</ref>
<ref name="post185446">{{LinkForumThread
|format = ref
|p = 185446
|title = Re: Oscillator Discussion Thread
|author = Caleb R. Hilton
|date = May 20, 2024
}}</ref>
</references>

[[Category:Pi-heptomino hasslers| ]]
__NOTOC__

OCA:Tlife

2024-06-07T08:39:53Z

Roee.s: /* B37/S2-i34q */

{{ambox|text=See forum thread [https://conwaylife.com/forums/viewtopic.php?f=16&t=6235 "Rule definition terminology"] for a discussion of which wording to use on LifeWiki to explain differences between rulestrings / rule definitions}}{{Rule
|name = tlife
|char = Chaotic
|b = 3
|s = 2-i34q
}}
'''tlife''' is a [[non-totalistic cellular automaton]] devised by [[M. I. Wright]] on September 6, 2015. It is very closely related to the much more commonly known rule [[Conway's Game of Life]], differing by only two [[transition rule]]s. in [[Hensel notation]]. It is likely one of the most-studied [[isotropic non-totalistic]] (INT) rules in existence.

== Rules ==
tlife is identical to Life, save for two [[transition rule]]s expressed in [[Hensel notation]]:

* cells with two adjacent cells in a straight orthogonal line (as in [[blinker]]) will die (-S2i or D2i), and
* cells with four adjacent cells (as in the dense phase of [[beacon]]) will survive (+S4q).

The two differing [[transition rule]]s, illustrated:

[[File:INT Moore R1 2i.png]] -> 0

[[File:INT_Moore_R1_4q.png]] -> 1

== Patterns ==
Although many patterns from Conway Life still function identically in tlife, some do not; for example, the [[blinker]] dies in tlife, and the [[beacon]] (depending on the phase) is or evolves into an 8-cell still life known as block-tie. Conversely, some patterns from tlife work in normal Life, but some do not.

{|style="float:right;margin-left:16px;margin-bottom:8px;width:100px;"
|{{EmbedViewer
|rle = x = 3, y = 2, rule = B3/S2-i34q
3o$bo!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 3 ZOOM 60 Y -1 AUTOSTART GPS 2 TRACKLOOP 5 0 1/5 ]]
|position = center
|caption = The [[T-tetromino]] spaceship
|apgcode = xq5_27/b3s2-i34q
}}
|-
|{{EmbedViewer
|rle = x = 7, y = 7, rule = B3/S2-i34q
4b2o$3bo2bo$2bob2o$bo2bo$ob2o$obo$bo!
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 3 ZOOM 36 AUTOSTART GPS 2 ]]
|position = center
|caption = "Gate Kid" (named after its apgcode), or "honeyloaf p5" (its original name), a period 5 oscillator which works in both tlife and tdrylife
|apgcode = xp5_g8kid52z121/b3s2-i34q
}}
|}

=== Spaceships ===
{{for|other uses of "Ant"|ants}}
The [[glider]] exists in tlife, and there are two other basic elementary spaceships: a slightly bigger [[c/4 diagonal]] called ''ant'' and a [[non-monotonic]] [[c/5 orthogonal]] (the [[T-tetromino]], usually called simply ''T'' or ''T-ship'').<ref name="tmain" />

Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at [[c/2 orthogonal]] (period 4), is dubbed the ''disemiMWSS'', referencing the fact it looks like two [[middleweight spaceship]]s interacting with each other; there is also a skewed variant. There is also another c/2 orthogonal spaceship that evolves from a phase of the [[queen bee]], which has several minor variants. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, a small-to-medium [[c/4 orthogonal]] ship, and a large 8c/282 orthogonal ship consisting of many copies of a puffer of the same speed.<ref name="ships1" /><ref name="hypership" /> There are [[eater]]s for the glider, T, and ant, as well as for the queen bee ship and its variants.<ref name="tmain"/>

In all, c/2, [[2c/5 orthogonal|2c/5]], 2c/4, 4c/8, [[c/3 orthogonal|c/3]], 2c/6, c/4, c/5, and 8c/282 orthogonal, as well as c/4 diagonal, spaceships are known to exist, discounting higher-period c/2 technology.<ref name="ships1"/>

The only named spaceship other than the glider known to function in both CGoL and tlife is the [[crab]]; however, several other, unnamed c/4 diagonal spaceships work in both rules.<ref name="crab">{{LinkForumThread|f=11|t=1831|p=23029|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=September 27, 2015|format=ref}}</ref><ref name="lifeships">{{LinkForumThread|p=39575|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=January 20, 2017|format=ref}}</ref> All known spaceships that function in both B3/S23 and B3/S2-i34q travel at a velocity of (1,1)c/4.

=== Oscillators ===

There is a common unloopable (non-classical) [[period]]-160 [[reflectorless rotating oscillator]] that often evolves from (what would, in normal Life, be) a [[loaf]] predecessor or a [[honey farm]] predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert one into the other.<ref name="tmain"/> There is also a somewhat similar period 33,<ref>{{LinkForumThread|p=30352|title=Re: tlife (B3/S2-i34q)|author=Nico Brown (glider_rider)|date=April 23, 2016|format=ref}}</ref> several p20s based on a failed replicator, a p14 shuttle, a variety of p2 oscillators, small rule-specific period 3, 4, 5, 6, and 8 oscillators,<ref name="tmain"/><ref>{{LinkForumThread|p=24323|title=Re: tlife (B3/S2-i34q)|author=Sphenocorona|date=October 29, 2015|format=ref}}</ref> larger billiard tables of all periods up to 10,<ref name="billiards1">{{LinkForumThread|p=54077|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 14, 2017|format=ref}}</ref><ref>{{LinkForumThread|p=53676|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 22, 2017|format=ref}}</ref> and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks.<ref>{{LinkForumThread|p=27818|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=February 28, 2016|format=ref}}</ref> p4, p6, and p8 [[sparker]]s have also been found, allowing p16 T-hassling oscillators and p6N glider loops for certain N > 4 (exactly which N is unexplored, but it is likely to be all N), as well as p96+40N T shuttles for all N.<ref name="billiards1"/><ref>{{LinkForumThread|p=53787|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=December 16, 2017|format=ref}}</ref><ref>{{LinkForumThread|p=44057|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=June 4, 2017|format=ref}}</ref> Combinations of lower-period oscillators may lead to p12s and p15s; however, no examples have been explicitly constructed.

{{EmbedViewer
|rle = x = 8, y = 8, rule = B3/S2-i34q
3bo$b2o$b2o3b2o$o2bo$bob2obo$bo3b2o$2b2ob2o$4bo!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 GPS 20 AUTOSTART ]]
|position = center
|caption = The period-160 reflectorless rotating oscillator
|style = width:300px;
|apgcode = xp160_3v/b3s2-i34q
}}

=== Infinite growth ===
As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist many guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns.<ref>{{LinkForumThread|p=35966|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=September 20, 2016|format=ref}}</ref> There is also a gun for the ant consisting of 3 interacting p160 oscillators.<ref name="tmain"/> By combining multiple basic guns, larger guns have been formed for the c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an [[over-unity reaction]] supported by reflectors formed from the p33 oscillator.<ref>{{LinkForumThread|p=30990|title=Re: tlife (B3/S2-i34q)|author=Luka Okanishi (AbhpzTa)|date=May 14, 2016|format=ref}}</ref>

Several puffers are known. Most known puffers travel at c/2 orthogonal and use one of three engines: one or more [[B-heptomino]]es escorted by at least two disemiMWSSs, a [[Schick engine]]-like tagalong to a pair of disemiMWSSs, or a p8 engine derived from a 4c/8 ship.<ref>{{LinkForumThread|p=23553|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=October 9, 2015|format=ref}}</ref><ref name="puffer2" /><ref name="ships1"/> These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.<ref name="puffer2"/><ref>{{LinkForumThread|p=23559|title=Re: tlife (B3/S2-i34q)|author=EricG|date=October 9, 2015|format=ref}}</ref> There is also an 8c/282 (mod 141) puffer made up of an ant bouncing between two [[boat]]s, displacing each in a forward direction while creating a block and a forward T, discovered by [[dani]]; [[Luka Okanishi]] used this to construct a large 8c/282 ship.<ref>{{LinkForumThread|p=63228|title=Re: tlife (B3/S2-i34q)|author=dani|date=August 29, 2018|format=ref}}</ref><ref name="hypership"/>

A [[sawtooth]] has been constructed, Sawtooth 1761.<ref>{{LinkForumThread|p=24988|title=Re: tlife (B3/S2-i34q)|author=EricG|date=November 12, 2015|format=ref}}</ref>

There is a [[breeder]] consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.<ref>{{LinkForumThread|p=23565|title=Re: tlife (B3/S2-i34q)|author=EricG|date=October 9, 2015|format=ref}}</ref>

No wickstretchers or spacefillers are currently known.

== Similar rules ==

Various rules similar to tlife have been explored, such as B36/S2-i34q (tHighlife), B37/S2-i34q (tDrylife), and B367/S2-i34q (SilverLife).

=== B36/S2-i34q ===
{{split|OCA:tHighLife}}
{{Rule
|name = tHighLife
|char = Chaotic
|b = 36
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "tHighLife", as it differs from tLife in that the B6 [[transition rule]] is used instead of A6 (abstain on six neighbours: when a dead cell has six neighbours it remains dead, as in tlife).

Very interestingly, it has a simple orthogonal [[replicator]] which replicates at 4c/11 orthogonal, very similarly to HighLife's own replicator. [[Luka Okanishi]] used this to construct a 4c/11 orthogonal spaceship.
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 7, y = 5, rule = B36/S2-i34q
2b3o$bo3bo$o5bo$bo3bo$2b3o!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 GPS 8 AUTOSTART T 0 PAUSE 2 T 44 PAUSE 1 LOOP 45 ]]
|position = center
|imgname = thighlifereplicator
|caption = The replicator
|style = width:300px;
|apgcode = zz_REPLICATOR/b36s2-i34q
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 72, y = 27, rule = B36/S2-i34q
8b2o$8b6o19b5o3b5o$2o4b4ob3o19b5o3b5o$bo3bo5b3o19b5o3b5o$bo3b3o3bo$2b
4o$2b2o2bo$2b3obo$3b2obo$5bo16bo$3b2o2bo12bob2o$19b2ob2o$18bobo14b5o27b
5o$17b3o15b5o27b5o$35b5o27b5o$10b2o4b3o24bo$9b2obo4b2o26bo$8b3obo$8bo
2bo10b3o$24b2o2bo$21bo2b2o2bo8b3o5b3o$22bo3b2o8bo3bo3bo3bo$21bobo11bo
5bobo5bo$21bo2b2o10bo3bo3bo3bo$20bo16b3o5b3o$21bo2bo$22b3o!
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|imgname = thighlife4c11spaceship
|caption = The 4c/11 spaceship
|style = width:300px;
|apgcode = xq44_4sxokk772ueeyfeeeeexeeeeezw7fdheybgzx11w1y58ca7033y7sssssynssssszy4c6796x133x88ogwgya102zyggd2499221y24ahhha404ahhha4zyh1223/b36s2-i34q
}}}}
{{gallery bottom}}

=== B37/S2-i34q ===
{{split|OCA:tDryLife}}
{{Rule
|name = tDryLife
|char = Chaotic
|b = 37
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "tDryLife", as it differs from tLife in that the B7 [[transition rule]] is used instead of A7 (abstain on seven neighbours: when a dead cell has seven neighbours it remains dead, as in tlife).

Unlike DryLife, it is not explosive, and has a lot of very interesting patterns. However, only two relatively common oscillators are the [[cap]] and the [[toad]], neither with a usable spark, resulting in no guns having been discovered so far (as opposed to the well-known rakes). [[Mango]]es are also much more common than in Life.

Many interesting spaceships have been constructed in this rule. For example, there is a naturally occurring 2c/23 orthogonal spaceship involving the T trying to escape a [[pre-beehive]]. [[Luka Okanishi]] used this spaceship to create other patterns moving at this speed. A T forward rake was also built using known reflections for gliders and Ts when colliding with the 2c/23 spaceship.

{{EmbedViewer
|rle = x = 8, y = 4, rule = B37/S2-i34q
bobo$o2bo2b2o$bobo2b2o$6b2o!
|position = center
|imgname = tdrylife2c23spaceship
|caption = The 2c/23 ship
|apgcode = xq23_2507wee/b37s2-i34q
}}

A c/2 orthogonal spaceship based on 2 [[B-heptomino]]es has been seen to occur naturally.

{{EmbedViewer
|rle = x = 13, y = 17, rule = B37/S2-i34q
5b2o$2b5o$b2obo$b2o3$bo4bo3bo$bo5bo2bo$2bo8bo$8bo2b2o$2b2o4bob3o$bobo
8bo$bo2b2o$o3bo$bo2bo3b2obo$b3o5b3o$10bo!
|position = center
|imgname = tdrylifec2spaceship
|caption = The c/2 ship
|apgcode = xq20_0si2jkg8ozx1w11pgz27dwoo5421/b37s2-i34q
}}

It has a 11c/776 diagonal glide symmetric [[pond]] [[puffer]], which is actually the [[century]]. It parallels the [[R-pentomino]] based 9c/28 orthogonal pond puffer from DryLife. In June 2017, [[Luka Okanishi]] managed to build a 22c/1552 diagonal spaceship using pond puffer interactions.<ref>{{LinkForumThread|f=11|t=2266|p=44806|title=Re: tDryLife|author=Luka Okanishi (AbhpzTa)|date=June 21, 2017|format=ref}}</ref>

{{EmbedViewer
|rle = x = 61, y = 45, rule = B37/S2-i34q
41b2o$40bo2bo$40bo2bo$41b2o3$58b2o$57bo2bo$57bo2bo$58b2o2$30b2o$29bo2b
o$29bo2bo$30b2o3$47b2o$46bo2bo$46bo2bo$47b2o2$19b2o$18bo2bo$18bo2bo$
19b2o2$3o$obo33b2o$o2bo31bo2bo$2o3bo29bo2bo$bo4bo29b2o$5bobo3bo$4b3o4b
2o$12bo$11bo$7b2o2bo$b2o7b2o$b2o4b2o2bo$7bo3bo$8bo3b2o$8bo5bo2$10bob2o
$11b2o!
|position = center
|imgname = tdrylifepondpuffer
|caption = The pond puffer
|apgcode = yl388_1_8_0b4a1c894d6d85ab2d963168dd29a040/b37s2-i34q
}}

Most interestingly, there is a (2,6)c/21 ([[:category:spaceships with slope 3|slope 3]]) [[ship]] [[puffer]]. This can be stabilised into various interesting patterns, such as a two-[[engine]] [[oblique spaceship]] (specifically a camelship). [[Alexey Nigin]] has created a [[quadratic growth]] pattern which uses [[oblique]] spaceships to create pond puffers, based on a reaction discovered by [[Rhombic]]. A much slower quadratic growth pattern was discovered later by Rhombic, based on the synthesis of pond puffers with a T and a pond.

{{EmbedViewer
|rle = x = 56, y = 24, rule = B37/S2-i34q
53bo$48bo2b4o$49b2o4bo$52bobo$42bo8bobo$36b3o3b2ob2o$42b2ob2o3$35bobo$
36bobo$37b2o2$24b2o$24bobo$25b2o2$12b2o$12bobo$13b2o2$2o$obo$b2o!
|position = center
|imgname = tdrylifeshippuffer
|caption = The (12, 4)c/42 ship puffer
|apgcode = yl42_1_6_665e25ae9102cb33b169409d57f1f243/b37s2-i34q
}}

=== B367/S2-i34q ===
{{split|OCA:SilverLife}}
{{Rule
|name = SilverLife
|char = Chaotic
|b = 367
|s = 2-i34q
|hideimg = true
}}
This rule is commonly known as "SilverLife". This uses the B6 and B7 [[outer-totalistic]] [[transition rules]] instead of A6 and A7.

It is rich in exotic speeds, including a p91 flamingoship.

{{EmbedViewer
|rle = x = 7, y = 9, rule = B367/S2-i34q
3b3o$2b2ob2o$bobob2o$4b2o$bo2bo$3bo$2o$o$o!
|position = center
|caption = The (6, 1)c/91 flamingoship
|apgcode = xq91_0k27pf6ze201/b367s2-i34q
}}

There is also a 7c/55 diagonal pond puffer.
{{EmbedViewer
|rle = x = 8, y = 8, rule = B367/S2-i34q
6bo$4bo2bo$3b2o$2b3o$b3o2$o$bo!
|position = center
|caption = 7c/55 diagonal pond puffer
|apgcode = yl55_1_16_849ee0a7ef7869a03bd075211a55ded6/b367s2-i34q
}}

== References ==
<references>

<ref name="tmain">{{LinkForumThread
|p = 22549
|title = tlife (B3/S2-i34q)
|author = M. I. Wright
|date = September 13, 2015
|format = ref
}}</ref>

<ref name="ships1">{{LinkForumThread
|p = 23546
|title = Re: tlife (B3/S2-i34q)
|author = Arie Paap (wildmyron)
|date = November 29, 2016
|format = ref
}}</ref>

<ref name="hypership">{{LinkForumThread
|p = 63228
|title = Re: tlife (B3/S2-i34q)
|author = Luka Okanishi (AbhpzTa)
|date = September 1, 2018
|format = ref
}}</ref>

<ref name="puffer2">{{LinkForumThread
|p = 23563
|title = Re: tlife (B3/S2-i34q)
|author = Sphenocorona
|date = October 9, 2015
|format = ref
}}</ref>

</references>

== External links ==
* {{LinkForumThread|f=11|t=1831|title=tlife}}
* {{LinkForumThread|f=11|t=2265|title=thighlife}}
* {{LinkForumThread|f=11|t=2266|title=tdrylife}}
* {{LinkForumThread|f=11|t=3027|title=SilverLife}}
* {{LinkCatagolueRule|b3s2-i34q|rulename=tlife}}
* {{LinkCatagolueRule|b36s2-i34q|rulename=thighlife}}
* {{LinkCatagolueRule|b37s2-i34q|rulename=tdrylife}}
* {{LinkCatagolueRule|b367s2-i34q|rulename=SilverLife}}

{{dtlc1}}
[[Category:Isotropic non-totalistic rules]]

User talk:HotdogPi

2024-06-07T06:03:45Z

Roee.s: /* Who discovered this p132 pi-heptomino hassler variant? */

=="[[Oscillator|Two Gabriel's p138 hassling block]]"==
Hey, could you please give me an apgcode for this? I can't seem to find it in any pattern collections or on the forums or Discord. [[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 21:45, 12 May 2021 (UTC)

{{EmbedViewer
|rle = 35b3o$35bo2bo$35bo2bo$37b2o4$26b3o$25bo2bo$25bo$25b3o15b3o$45bo$42bo2b
o$16b2o24b3o$16b2o3$32b2o$32bo2bo$32bo2bo$33b3o2$10b3o$10bo2bo$10bo2bo
$12b2o4$b3o$o2bo$o$3o15b3o$20bo$17bo2bo$17b3o4$7b2o$7bo2bo$7bo2bo$8b3o!
|position = left
|viewerconfig = #C [[ GPS 60 THUMBSIZE 2 ]]
|caption = Here it is [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 00:04, 13 May 2021 (UTC)
}}

== p29 pre-pulsar shuttle ==

Hello, I changed the redirect [[Prime]] because I saw this is another (referenced) name for [[p29 pre-pulsar shuttle]]. Before changing I checked to make sure there were no links using redirect [[Prime]]. Is this reasoning invalid? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:56, 5 June 2022 (UTC)
:Sorry. I didn't realize this was actually the name of an object. I thought you were going through the list of primes (having just done 23) and clicked the wrong thing by accident. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 19:59, 5 June 2022 (UTC)
::Should the redirect be changed back or left as it is? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 20:07, 5 June 2022 (UTC)
:::I don't really have a preference. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 20:09, 5 June 2022 (UTC)
::::A better way is to make a disambiguation page for both meanings, which I have done. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 02:51, 6 June 2022 (UTC)

== HF shuttles ==

Re: [https://conwaylife.com/w/index.php?title=Period-60_honey_farm_hasslers&curid=26776&diff=118660&oldid=118491 this] -- was it a bad idea to split shuttles by period? If so, I can revert [[Honey farm shuttles]] back to [https://conwaylife.com/w/index.php?title=Honey_farm_shuttles&oldid=118447 this revision] and manually re-add later additions. Is there a significant likelihood that a lot more HF shuttles will be found and that page will become unreasonably long? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:30, 18 November 2022 (UTC)
* They could be listed in both places. Before the split, maybe about 15-20% of hasslers were shuttles, so I don't expect it to get unreasonably long. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 14:35, 18 November 2022 (UTC)
:* Listing them in both places would be nice if it was done automatically. Otherwise, the main page [[Honey farm shuttles]] will probably inevitably become out of sync with the by-period "Period-N honey farm hasslers#Shuttles" sections. I think I'll restore the single-page [[Honey farm shuttles]] several hours later, unless someone objects to that. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:46, 18 November 2022 (UTC)

== X (disambiguation) ==

Re: [https://conwaylife.com/w/index.php?title=P61_gun&diff=128792&oldid=128778 this] -- I thought it's actually the other way round, and "X (disambiguation)" is preferred to "X". For example, {{CategoryLink|Disambiguation pages|style=inline}} lists pages [[p44 gun (disambiguation)]], [[p46 gun (disambiguation)]], [[p52 gun (disambiguation)]]. Am I missing something? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:12, 12 April 2023 (UTC)
: Wikipedia says that (disambiguation) in the title is only to be used if the form without it is an article or a redirect to an article, not a redirect to the same disambiguation page. It might not apply on LifeWiki. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 16:33, 12 April 2023 (UTC)

== Names ==

The edit summaries in [https://conwaylife.com/w/index.php?title=Honey_farm_hasslers&curid=20193&diff=132051&oldid=131509 1], [https://conwaylife.com/w/index.php?title=Die_hard&curid=842&diff=132052&oldid=130596 2] are potentially misleading for other editors. The first column in [[User:77topaz/Forum handles table]] is "Preferred name for credits", which is reasonable as not everyone wants to go by their real name. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:44, 6 June 2023 (UTC)

== Reply on your comment ==

You said: Somewhat related: I feel like I was a bit premature with [[OCA:Grounded Life/List of common objects]]. While the page should still exist, should it be renamed to the rulestring? [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 12:20, 10 September 2023 (UTC)

I do not think so - I think that it should be consistant between the rule and the list of common objects as it could lead to confusion. Haycat2009

== Delete spam pages ==

Recently, cvojan created spam pages with offensive content. Can you delete these pages please? [[User:Haycat2009|Haycat2009]] ([[User talk:Haycat2009|talk]]), with a mission to defend the wiki. 09:01, 5 November 2023 (UTC)

== [[List of common catalysts]] ==
One catalysts is [[PT8P]]. [[User:Spaceship|Spaceship]] ([[User talk:Spaceship|talk]])

== Who discovered this [[Pi-heptomino_hasslers#p132|p132 pi-heptomino hassler]] variant? ==

Several days after the first such hassler was found [https://conwaylife.com/w/index.php?title=Tub-with-tail_eater&diff=139605&oldid=139555 you added] a variant of it to the page [[tub-with-tail eater]] as it uses a variant of said eater. Later most of the hassler was deleted from there and instead there is now only the small eater reaction with a link to the page [[pi-heptomino hasslers]], where I inserted the complete variant.

When I did that I noticed that many of the hasslers there have credit to the person who found them, but I wasn't sure who found this one. It doesn't appear to be on your [[User:HotdogPi/My discoveries/Period 101+|relevant discovery page]] and your edit description didn't give me much to go for either. Do you recall (or can find somewhere) any record of who discovered this variant, in order to give them their due credit? Thanks! [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 18:46, 28 May 2024 (UTC)
:Nico Brown, 10/22/23. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 19:00, 28 May 2024 (UTC)
:: Both the original hassler and the variant on the right? [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 06:03, 7 June 2024 (UTC)

== hotdogpi recieved a gift from tommyaweosme! ==
{{User:Tommyaweosme/giftbox|hotdogpi's gift|for solving so many problems on conwaylife.com i will make you a rule that i think you will have fun exploring. b3-k/s1e2-k3-kyq and its called hotdogrule!}}

User talk:HotdogPi

2024-05-28T18:48:29Z

Roee.s: /* Who discovered this p132 pi-heptomino hassler variant? */

User talk:HotdogPi

2024-05-28T18:46:48Z

Roee.s: /* Who discovered this p132 pi-heptomino hassler variant? */ new section

=="[[Oscillator|Two Gabriel's p138 hassling block]]"==
Hey, could you please give me an apgcode for this? I can't seem to find it in any pattern collections or on the forums or Discord. [[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 21:45, 12 May 2021 (UTC)

{{EmbedViewer
|rle = 35b3o$35bo2bo$35bo2bo$37b2o4$26b3o$25bo2bo$25bo$25b3o15b3o$45bo$42bo2b
o$16b2o24b3o$16b2o3$32b2o$32bo2bo$32bo2bo$33b3o2$10b3o$10bo2bo$10bo2bo
$12b2o4$b3o$o2bo$o$3o15b3o$20bo$17bo2bo$17b3o4$7b2o$7bo2bo$7bo2bo$8b3o!
|position = left
|viewerconfig = #C [[ GPS 60 THUMBSIZE 2 ]]
|caption = Here it is [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 00:04, 13 May 2021 (UTC)
}}

== p29 pre-pulsar shuttle ==

Hello, I changed the redirect [[Prime]] because I saw this is another (referenced) name for [[p29 pre-pulsar shuttle]]. Before changing I checked to make sure there were no links using redirect [[Prime]]. Is this reasoning invalid? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:56, 5 June 2022 (UTC)
:Sorry. I didn't realize this was actually the name of an object. I thought you were going through the list of primes (having just done 23) and clicked the wrong thing by accident. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 19:59, 5 June 2022 (UTC)
::Should the redirect be changed back or left as it is? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 20:07, 5 June 2022 (UTC)
:::I don't really have a preference. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 20:09, 5 June 2022 (UTC)
::::A better way is to make a disambiguation page for both meanings, which I have done. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 02:51, 6 June 2022 (UTC)

== HF shuttles ==

Re: [https://conwaylife.com/w/index.php?title=Period-60_honey_farm_hasslers&curid=26776&diff=118660&oldid=118491 this] -- was it a bad idea to split shuttles by period? If so, I can revert [[Honey farm shuttles]] back to [https://conwaylife.com/w/index.php?title=Honey_farm_shuttles&oldid=118447 this revision] and manually re-add later additions. Is there a significant likelihood that a lot more HF shuttles will be found and that page will become unreasonably long? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:30, 18 November 2022 (UTC)
* They could be listed in both places. Before the split, maybe about 15-20% of hasslers were shuttles, so I don't expect it to get unreasonably long. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 14:35, 18 November 2022 (UTC)
:* Listing them in both places would be nice if it was done automatically. Otherwise, the main page [[Honey farm shuttles]] will probably inevitably become out of sync with the by-period "Period-N honey farm hasslers#Shuttles" sections. I think I'll restore the single-page [[Honey farm shuttles]] several hours later, unless someone objects to that. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:46, 18 November 2022 (UTC)

== X (disambiguation) ==

Re: [https://conwaylife.com/w/index.php?title=P61_gun&diff=128792&oldid=128778 this] -- I thought it's actually the other way round, and "X (disambiguation)" is preferred to "X". For example, {{CategoryLink|Disambiguation pages|style=inline}} lists pages [[p44 gun (disambiguation)]], [[p46 gun (disambiguation)]], [[p52 gun (disambiguation)]]. Am I missing something? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:12, 12 April 2023 (UTC)
: Wikipedia says that (disambiguation) in the title is only to be used if the form without it is an article or a redirect to an article, not a redirect to the same disambiguation page. It might not apply on LifeWiki. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 16:33, 12 April 2023 (UTC)

== Names ==

The edit summaries in [https://conwaylife.com/w/index.php?title=Honey_farm_hasslers&curid=20193&diff=132051&oldid=131509 1], [https://conwaylife.com/w/index.php?title=Die_hard&curid=842&diff=132052&oldid=130596 2] are potentially misleading for other editors. The first column in [[User:77topaz/Forum handles table]] is "Preferred name for credits", which is reasonable as not everyone wants to go by their real name. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:44, 6 June 2023 (UTC)

== Reply on your comment ==

You said: Somewhat related: I feel like I was a bit premature with [[OCA:Grounded Life/List of common objects]]. While the page should still exist, should it be renamed to the rulestring? [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 12:20, 10 September 2023 (UTC)

I do not think so - I think that it should be consistant between the rule and the list of common objects as it could lead to confusion. Haycat2009

== Delete spam pages ==

Recently, cvojan created spam pages with offensive content. Can you delete these pages please? [[User:Haycat2009|Haycat2009]] ([[User talk:Haycat2009|talk]]), with a mission to defend the wiki. 09:01, 5 November 2023 (UTC)

== [[List of common catalysts]] ==
One catalysts is [[PT8P]]. [[User:Spaceship|Spaceship]] ([[User talk:Spaceship|talk]])

== Who discovered this [[Pi-heptomino_hasslers#p132|p132 pi-heptomino hassler]] variant? ==

Several days after the first such hassler was found [https://conwaylife.com/w/index.php?title=Tub-with-tail_eater&diff=139605&oldid=139555 you added] a variant of it to the page [[tub-with-tail eater]] as it uses a variant of said eater. Later the most of the hassler was deleted from there and instead there is now only the small eater reaction with a link to the page [[pi-heptomino hasslers]], where I inserted the complete variant.

When I did that I noticed that many of the hasslers there have credit to the person who found them, but I wasn't sure who found this one. It doesn't appear to be on your [[User:HotdogPi/My discoveries/Period 101+|relevant discovery page]] and your edit description didn't give me much to go for either. Do you recall (or can find somewhere) any record of who discovered this variant, in order to give them their due credit? Thanks! [[User:Roee.s|Roee.s]] ([[User talk:Roee.s|talk]]) 18:46, 28 May 2024 (UTC)

List of common catalysts

2024-05-28T18:27:46Z

Roee.s:

On March 12, {{year|2023}}, [[Mitchell Riley]] determined the most common [[Catalysis|catalyses]] using {{times|12|12}} random [[soup]]s.<ref name="post158889"/>

If more than one catalyst works, the one with the smallest cell count is used. This means, for example, that snake-type catalysts use a snake even though a fishhook also works, and the "drifty eater 3" places above the regular eater 3 in cases where they both work.

Periodic catalysts, such as clocks and [[Transparent object|transparent blinker]]s, are in their own section.

{| class="wikitable sortable"
! Sequence !! Pattern !! Average uses per soup !! Example reaction !! Notes
|-
| [[Fishhook]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:eater1}}
}}||12.082||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b2o$5b2o$5b2o$2b2o$bobo$bo$2o!
}}||Fishhook tails as rocks are also included here. Snake-type reactions are not; they're listed in the "snake" entry.
|-
| [[Block]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:block}}
}}||5.458||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$2o7b2o$8b2o$9bo!
}}||While most block catalysts are typical in that only the front two cells ever die, there are a decent number where only one or even [[transparent|zero]] of the four cells always remains on.
|-
| [[Snake]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:snake}}
}}||1.292||{{LV:Viewer|{{LifeViewer config/evolseq}}
o$2obo$2bo2$2o$o$bo$2o!
}}||Fishhooks also work, but since snakes are smaller, they're included here.
|-
| [[Eater 2]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:eater2}}
}}||1.097||{{LV:Viewer|{{LifeViewer config/evolseq}}
4bo$3bobo$3bobo$b3ob2o$o$b3ob2o$3bob2o$8b2o$8b2o!
}}||The usefulness of eater 2 is greater than its number would suggest as it can perform eater 1 reactions from two directions, but this list only requires the catalyst to survive once.
|-
| [[Tub]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:tub}}
}}||0.977||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$bo2bo$obob3o$bo!
}}||Tubs can also act as [[rock]]s for a line of four in some cases or to suppress a line of five.
|-
| Drifty [[eater 3]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
9b2o$4b2obo2bo$3bobob3o$3bobo$b3ob5o$o3bo4bo$2o2bobo$5b2o!
}}||0.911||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o$b2o6b2o$4b2obo2bo$3bobob3o$3bobo$b3ob5o$o3bo4bo$2o2bobo$5b2o!
}}||The regular eater 3 works in more situations than the drifty eater 3 does, but since this one is smaller, it's listed first.
|-
| Two fishhooks ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2b2o3b2o$3bo3bo$3o5b3o$o9bo!
}}||0.851||{{LV:Viewer|{{LifeViewer config/evolseq}}
5bo$4bobo$3bo2bo$4bobo$5bo3$2b2o3b2o$3bo3bo$3o5b3o$o9bo!
}}||
|-
| [[Boat]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:boat}}
}}||0.796||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o2b2o$obobo$bo3bo$5bo!
}}||
|-
| [[Ship+fishhook]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:shipplusfishhook}}
}}||0.669||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b2o$5bobo$6b2o2bo$2b2o5bo$bobo6bo$bo9b2o$2o!
}}||
|-
| Block + fishhook ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$bo$bobo$2b2o2b2o$6b2o!
}}||0.606||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$bo$bobo$2b2o2b2o$6b2o3$10bo$9b2o$8b2obo$9bobo$10b2o!
}}||
|-
| Bookend catalyst ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2b2o$2bo$3bo$4o$o$3b3o$3bo2bo$5b2o!
}}||0.582||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o5b3o$2o3b2o2bo$5bo2b2o$5b3o$14b2o$12bo2bo$12b3o$9bo$9b4o$12bo$11bo$
11b2o!
}}||
|-
| [[Eater bridge eater|Snake bridge fishhook]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:eaterbridgeeater}}
}}||0.557||{{LV:Viewer|{{LifeViewer config/evolseq}}
6b2o$ob2obobo$2obobo$4b2o2$6bo$6bo$5bobo!
}}||
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2ob2o$3bobobobo$b3o3bobo$o4bobob3o$b3ob2obo3bo$3bo4bo2b2o$5b3o$4b2o!
}}||0.548||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b2o$4bobo$4bo2bo$5b2o$6bo2$4b2ob2o$3bobobobo$b3o3bobo$o4bobob3o$b3ob
2obo3bo$3bo4bo2b2o$5b3o$4b2o!
}}||
|-
| Drifty eater 3 with worse clearance ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$o2bob2o$b3obobo$5bobo2bo$3b3ob4o$2bo3bo$2b2o2bobo$7b2o!
}}||0.536||{{LV:Viewer|{{LifeViewer config/evolseq}}
8b2o$2o6b2o$o2bob2o$b3obobo$5bobo2bo$3b3ob4o$2bo3bo$2b2o2bobo$7b2o!
}}||
|-
| [[Eater 3]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:eater3}}
}}||0.531||{{LV:Viewer|{{LifeViewer config/evolseq}}
7bo$6bobo$7bo2$5b5o$5bo4bo$8bo2bo$8b2obo2bo$5bo5bobobo$4bobo4bo2bo$4bo
2bo2b2o$5b2o$b3o$ob2o$3bo!
}}||
|-
| [[Hook with tail]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:hookwithtail}}
}}||0.522||{{LV:Viewer|{{LifeViewer config/evolseq}}
2b3o$3bo2$2bobo$bob2o$bo$2o!
}}||
|-
| Equivalent to [[BTS]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2obo$4bob3o$2bobo4bo$bob2o3b2o$bo$2o!
}}||0.444||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$obo$obo$bo2$3b2obo$4bob3o$2bobo4bo$bob2o3b2o$bo$2o!
}}||
|-
| Snake bridge fishhook + fishhook ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2b2o$3bo3b2o$3o4bobob2o$o4bobob2obo$5b2o!
}}||0.441||{{LV:Viewer|{{LifeViewer config/evolseq}}
2b3obo$5b2o$3bo3bo$3b3o$5bo4$2b2o$3bo3b2o$3o4bobob2o$o4bobob2obo$5b2o!
}}||
|-
| [[Eater 4]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:eater4}}
}}||0.420||{{LV:Viewer|{{LifeViewer config/evolseq}}
9b2o$b3o6bo$bobo6bob2o$b3o5b2o2bo$6bo4b2o$6b5o$4b2o4bo$5bo2b2o$5bobo$o
2bobobo$4ob2o$4bo$2bobo$2b2o!
}}||
|-
| [[Beehive push catalyst]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:beehivepushcatalyst}}
}}||0.417||{{LV:Viewer|{{LifeViewer config/evolseq}}
6b2ob2o$7bobo$2b2obo5bob2o$bobob2o3b2obobo$o6bobo6bo$7o3b7o2$2b3o7b3o$
bo2bo3bo3bo2bo$b2o4bobo4b2o$7bobo$8bo4$7b3o$7bobo$7bobo!
}}||
|-
| Beehive push catalyst variant ||{{LV:Viewer|{{LifeViewer config/evolseq}}
10bo$9bobo$9bobo$10bo$5bo9bo$4bobo7bobo$3bobo4bo4bobo$3bo5bobo5bo$4bo
4bobo4bo$b3o2bo3bo3bo2b3o$o3b3o7b3o3bo$3o15b3o$3b6o3b6o$2bo6bobo6bo$3b
obob2o3b2obobo$4b2obo5bob2o$9bobo$8b2ob2o!
}}||0.399||{{LV:Viewer|{{LifeViewer config/evolseq}}
6b2o$6bobo$4bobobo$3bobo2bob2o$2bo2bobobo2bo$2b2obobo3bobo$5bob2o3bo$
2b2obo18bo$o2bobo17b2o$2o2bo4b2o4b2o7b2o$8bo2bo2bo2bo$2o2bo4b2o4b2o$o
2bobo$2b2obo$5bob2o3bo$2b2obobo3bobo$2bo2bobobo2bo$3bobo2bob2o$4bobobo
$6bobo$6b2o!
}}|| Unlike the smaller beehive push catalyst form, this form only works when the line of three that reacts isn't centred.
|-
| Exposed eater 2 ||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2o$3b2o2$b3obo$o3b2o$b2o$3b2obo$3bob2o!
}}||0.385||{{LV:Viewer|{{LifeViewer config/evolseq}}
10bo$9bo$9b3o4$3b2o$3b2o2$b3obo$o3b2o$b2o$3b2obo$3bob2o!
}}|| Also works as a block catalyst.
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$5bo$o2bo$5o2$2b3o$bo2bo$b2o!
}}||0.366||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$5bo$o2bo$5o2$2b3o3b4o$bo2bo2bobo$b2o4bo$8b4o!
}}||
|-
| Loaf spin ||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o3b2o$o2bo2b2o$bobo$2bo6b2o$10bo$5b2obo$5b2ob2o2$5b2ob2o$6bobo$6bobo
$7bo!
}}||0.344||{{LV:Viewer|{{LifeViewer config/evolseq}}
8bo$2o6bo$o2b2o3bo$b3o$2bo4$8b2o3b2o$7bo2bo2b2o$8bobo$9bo6b2o$17bo$12b
2obo$12b2ob2o2$12b2ob2o$13bobo$13bobo$14bo!
}}||There are several loaf spin catalysts that work different ways. This is just one of them.
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2o$3bo$2obo$o2b2o$b2o$3b2o$3bo$bobo$b2o!
}}||0.335||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2o$3bo$2obo8bo$o2b2o6b2o$b2o7b2obo$3b2o6bobo$3bo8b2o$bobo$b2o!
}}||
|-
| [[PT8P]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
6bo$2obobobo$ob2ob2obo$8bo$8b2o!
}}||0.300||{{LV:Viewer|{{LifeViewer config/evolseq}}
6b3o$6bo$6b3o3$6bo$2obobobo$ob2ob2obo$8bo$8b2o!
}}||
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$obo$2bo2b2o$b2obobo$4bo$b4o$bo3b2o$2b3o2bo$5bo2bo$4b2ob2o$5bo$3bobo
$3b2o!
}}||0.297||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$4bobo$6bo2b2o$5b2obobo$8bo$5b4o$5bo3b2o$6b3o2bo$b2o6bo2bo$o2bo4b
2ob2o$2obo5bo$bobo3bobo$7b2o!
}}||
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
3bo$2bobo$2bobo$b2ob2o$o6bo$bob2ob2o$2obo$3bob3o$3b2obo2bo$8b2o!
}}||0.287||{{LV:Viewer|{{LifeViewer config/evolseq}}
11bo$3bo5bobo$2bobo4b3o$2bobo4bo$b2ob2o$o6bo$bob2ob2o$2obo$3bob3o$3b2o
bo2bo$8b2o!
}}||
|-
| Ship+fishhook+elevener ||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b2o$5bobo$6b2o$2b2o$bobo5b2o$bo6bobo$2o6bo$6b3o$5bo$5b2o!
}}||0.255||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b2o$5bobo7bo$6b2o6b3o$2b2o10bobo$bobo5b2o2b2o$bo6bobo$2o6bo$6b3o$5bo$
5b2o!
}}||
|-
| Unnamed ||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2o$2bobo$3bo2$b5o$2bo2bo$o$2o!
}}||0.255||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o$3o2b2o3b2o$4bo2bobobo$5b2o3bo2$8b5o$9bo2bo$7bo$7b2o!
}}||Can eat gliders.
|}

== Period-2 catalysts ==
On February 27, {{year|2023}}, [[Mitchell Riley]] determined the most common period-2 [[catalyst]]s, but using a less rigorous algorithm than the stable catalyst algorithm approximately two weeks later. <ref name="discord1079847117608210633"/>

{| class="wikitable sortable"
! Sequence !! Pattern !! Example reaction !! Notes
|-
| [[Toad]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:toad}}
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
5b3o$4b3o$3o$2bo$3bo$2bo!
}}||
|-
| [[Clock]] + [[fishhook]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
bo$2b2o$2o$2bo3$2b2o$bobo$bo$2o!
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
bo$2b2o$2o4bo$2bo2bo$5bo$5bo$2b2o2bo$bobo$bo$2o!
}}||
|-
| [[Clock]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:Clock}}
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
3b2o$3bobo$5b2o2$2bo$2o$2b2o$bo!
}}||
|-
| [[Killer toads]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:killertoads}}
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o3b2o$o7bo$3bobo$b2o3b2o3$3b3o$3bobo$3b3o!
}}||
|-
| [[Toad]] + [[fishhook]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o6bo$o6b3o$3bo2bo$b2o3b2o!
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
b2o6bo$o6b3o$3bo2bo$b2o3b2o3$3b3o$3bobo$3b3o!
}}||
|-
| [[Fox]] + [[clock]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
4bo$5b2o$3b2o$5bo3$4b3o$2bo$2o2b2o2$2bo2bo$3bo$3bo!
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
4bo$5b2o$3b2o$5bo$9b2o$8b2o$4b3o$2bo$2o2b2o2$2bo2bo$3bo$3bo!
}}||
|-
| [[Blinker]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:Blinker}}
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
bo$bo$bo8$2o$b2o$2b2o!
}}||
|-
| [[Blinker]] + [[fishhook]] + [[eater bridge eater]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$bo$bobo$2b2o$6bo$6bo$6bo3$4b2o$2obobo$ob2obobo$6b2o!
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
2o$bo$bobo$2b2o$6bo3b2o$6bo2b3o$6bo3b2o3$4b2o$2obobo$ob2obobo$6b2o!
}}||Odd periods only. This was discovered after the rest and may not be less common than the ones above it in the list.
|-
| [[Odd traffic stop]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
{{RLE:Oddtrafficstop}}
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$5bo$5bobo$6b2o$10b3o4b3o$17bo2bo$b2o5bo5bo2b3o$bobo4bo5bo$3bo4bo
5bo$3b3o$b2o3bo$o2b4o6b2o$2obo9bo$3bob2o7b3o$3bobo10bo$2b2obobo$6b2o!
}}||Odd periods only. This was discovered after the rest and may not be less common than the ones above it in the list.
|-
| Odd traffic stop plus [[loaf]] ||{{LV:Viewer|{{LifeViewer config/evolseq}}
4b2o$5bo$5bobo$6b2o$10b3o$19bo$b2o5bo5bo3bobo$bobo4bo5bo3bo2bo$3bo4bo
5bo4b2o$3b3o$b2o3bo$o2b4o6b2o$2obo9bo$3bob2o7b3o$3bobo10bo$2b2obobo$6b
2o!
}}||{{LV:Viewer|{{LifeViewer config/evolseq}}
20b3o$4b2o17b2o$5bo17b2o$5bobo$6b2o$10b3o$19bo$b2o5bo5bo3bobo$bobo4bo
5bo3bo2bo$3bo4bo5bo4b2o$3b3o$b2o3bo$o2b4o6b2o$2obo9bo$3bob2o7b3o$3bobo
10bo$2b2obobo$6b2o!
}}||Odd periods only. This was discovered after the rest and may not be less common than the ones above it in the list.
|}

== References ==
<references>
<ref name="post158889">{{LinkForumThread
|format = ref
|p = 158889
|title = Re: Catalyst Discussion Thread
|author = Mitchell Riley
|date = March 12, 2023
}}</ref>
<ref name="discord1079847117608210633">{{CiteDiscord
|author = Mitchell Riley
|date = February 27, 2023
|channel = cgol
|id = 1079847117608210633
}}</ref>
</references>

== See also ==
* [[Tutorials/Catalyses]]

[[Category:Lists of patterns]]
[[Category:Catalysts and catalyses]]
__NOTOC__

Pi-heptomino hasslers

2024-05-28T17:26:21Z

Roee.s: /* p132 */ Copying the variant referenced in Tub-with-tail eater here, as it was deleted from there.

{{Glossary}}{{HasslerList}}
A '''pi-heptomino hassler''' is an [[oscillator]] that [[hassle]]s one or more copies of the [[pi-heptomino]], which is the [[List of common evolutionary sequences|third most common evolutionary sequence]] and second place if symmetry is taken into account.<ref group=note>Pi-heptominoes have twofold symmetry, so they are twice as likely to appear in the same position as it would if it was asymmetric. This puts it above the R-pentomino.</ref> Hasslers are known for the following [[period]]s:

<center>
{|class="wikitable"
! colspan="16" | Small pi-heptomino hassler known periods
|-

| style="background:#dddddd;text-align:center" | 2
| style="background:#dddddd;text-align:center" | 3
| style="background:#dddddd;text-align:center" | 4
| style="background:#dddddd;text-align:center" | 5
| style="background:#c6efce;text-align:center" | [[#p6|6]]
| style="background:#ffc7ce;text-align:center" | 7
| style="background:#ffc7ce;text-align:center" | 8
| style="background:#ffc7ce;text-align:center" | 9
| style="background:#ffc7ce;text-align:center" | 10
| style="background:#ffc7ce;text-align:center" | 11
| style="background:#c6efce;text-align:center" | [[#p12|12]]
| style="background:#c6efce;text-align:center" | [[#p13|13]]
| style="background:#c6efce;text-align:center" | [[#p14|14]]
| style="background:#c6efce;text-align:center" | [[#p15|15]]
| style="background:#c6efff;text-align:center" | [[Period-16 pi-heptomino hasslers|16]]
| style="background:#ffc7ce;text-align:center" | 17
|-
| style="background:#c6efce;text-align:center" | [[#p18|18]]
| style="background:#ffc7ce;text-align:center" | 19
| style="background:#c6efce;text-align:center" | [[#p20|20]]
| style="background:#c6efce;text-align:center" | [[#p21|21]]
| style="background:#c6efce;text-align:center" | [[#p22|22]]
| style="background:#c6efce;text-align:center" | [[#p23|23]]
| style="background:#c6efff;text-align:center" | [[Period-24 pi-heptomino hasslers|24]]
| style="background:#c6efce;text-align:center" | [[#p25|25]]
| style="background:#c6efce;text-align:center" | [[#p26|26]]
| style="background:#ffc7ce;text-align:center" | 27
| style="background:#c6efff;text-align:center" | [[Period-28 pi-heptomino hasslers|28]]
| style="background:#ffc7ce;text-align:center" | 29
| style="background:#c6efff;text-align:center" | [[Period-30 pi-heptomino hasslers|30]]
| style="background:#ffc7ce;text-align:center" | 31
| style="background:#c6efff;text-align:center" | [[Period-32 pi-heptomino hasslers|32]]
| style="background:#c6efce;text-align:center" | [[#p33|33]]
|-
| style="background:#c6efce;text-align:center" | [[#p34|34]]
| style="background:#c6efff;text-align:center" | [[Period-35 pi-heptomino hasslers|35]]
| style="background:#c6efce;text-align:center" | [[#p36|36]]
| style="background:#c6efce;text-align:center" | [[#p37|37]]
| style="background:#c6efce;text-align:center" | [[#p38|38]]
| style="background:#c6efce;text-align:center" | [[#p39|39]]
| style="background:#c6efff;text-align:center" | [[Period-40 pi-heptomino hasslers|40]]
| style="background:#c6efce;text-align:center" | [[#p41|41]]
| style="background:#c6efff;text-align:center" | [[Period-42 pi-heptomino hasslers|42]]
| style="background:#c6efce;text-align:center" | [[#p43|43]]
| style="background:#c6efff;text-align:center" | [[Period-44 pi-heptomino hasslers|44]]
| style="background:#c6efff;text-align:center" | [[Period-45 pi-heptomino hasslers|45]]
| style="background:#c6efce;text-align:center" | [[#p46|46]]
| style="background:#c6efce;text-align:center" | [[#p47|47]]
| style="background:#c6efff;text-align:center" | [[Period-48 pi-heptomino hasslers|48]]
| style="background:#c6efce;text-align:center" | [[#p49|49]]
|-
| style="background:#c6efff;text-align:center" | [[Period-50 pi-heptomino hasslers|50]]
| style="background:#c6efce;text-align:center" | [[#p51|51]]
| style="background:#c6efce;text-align:center" | [[#p52|52]]
| style="background:#c6efce;text-align:center" | [[#p53|53]]
| style="background:#c6efff;text-align:center" | [[Period-54 pi-heptomino hasslers|54]]
| style="background:#c6efce;text-align:center" | [[#p55|55]]
| style="background:#c6efff;text-align:center" | [[Period-56 pi-heptomino hasslers|56]]
| style="background:#ffc7ce;text-align:center" | 57
| style="background:#c6efce;text-align:center" | [[#p58|58]]
| style="background:#c6efce;text-align:center" | [[#p59|59]]
| style="background:#c6efce;text-align:center" | [[#p60|60]]
| style="background:#c6efce;text-align:center" | [[#p61|61]]
| style="background:#ffc7ce;text-align:center" | 62
| style="background:#c6efce;text-align:center" | [[#p63|63]]
| style="background:#c6efff;text-align:center" | [[Period-64 pi-heptomino hasslers|64]]
| style="background:#c6efce;text-align:center" | [[#p65|65]]
|-
| style="background:#ffc7ce;text-align:center" | 66
| style="background:#ffc7ce;text-align:center" | 67
| style="background:#c6efce;text-align:center" | [[#p68|68]]
| style="background:#c6efce;text-align:center" | [[#p69|69]]
| style="background:#c6efce;text-align:center" | [[#p70|70]]
| style="background:#ffc7ce;text-align:center" | 71
| style="background:#c6efce;text-align:center" | [[#p72|72]]
| style="background:#ffc7ce;text-align:center" | 73
| style="background:#c6efce;text-align:center" | [[#p74|74]]
| style="background:#c6efff;text-align:center" | [[Period-75 pi-heptomino hasslers|75]]
| style="background:#c6efce;text-align:center" | [[#p76|76]]
| style="background:#c6efce;text-align:center" | [[#p77|77]]
| style="background:#c6efce;text-align:center" | [[#p78|78]]
| style="background:#c6efce;text-align:center" | [[#p79|79]]
| style="background:#c6efce;text-align:center" | [[#p80|80]]
| style="background:#c6efce;text-align:center" | [[#p81|81]]
|-
| style="background:#c6efce;text-align:center" | [[#p82|82]]
| style="background:#ffc7ce;text-align:center" | 83
| style="background:#c6efff;text-align:center" | [[Period-84 pi-heptomino hasslers|84]]
| style="background:#ffc7ce;text-align:center" | 85
| style="background:#c6efce;text-align:center" | [[#p86|86]]
| style="background:#c6efce;text-align:center" | [[#p87|87]]
| style="background:#c6efce;text-align:center" | [[#p88|88]]
| style="background:#ffc7ce;text-align:center" | 89
| style="background:#c6efce;text-align:center" | [[#p90|90]]
| style="background:#ffc7ce;text-align:center" | 91
| style="background:#c6efce;text-align:center" | [[#p92|92]]
| style="background:#ffc7ce;text-align:center" | 93
| style="background:#c6efce;text-align:center" | [[#p94|94]]
| style="background:#c6efce;text-align:center" | [[#p95|95]]
| style="background:#c6efce;text-align:center" | [[#p96|96]]
| style="background:#ffc7ce;text-align:center" | 97
|-
| style="background:#ffc7ce;text-align:center" | 98
| style="background:#ffc7ce;text-align:center" | 99
| style="background:#c6efce;text-align:center" | [[#p100|100]]
| style="background:#ffc7ce;text-align:center" | 101
| style="background:#ffc7ce;text-align:center" | 102
| style="background:#ffc7ce;text-align:center" | 103
| style="background:#c6efce;text-align:center" | [[#p104|104]]
| style="background:#c6efce;text-align:center" | [[#p105|105]]
| style="background:#c6efce;text-align:center" | [[#p106|106]]
| style="background:#ffc7ce;text-align:center" | 107
| style="background:#c6efce;text-align:center" | [[#p108|108]]
| style="background:#ffc7ce;text-align:center" | 109
| style="background:#ffc7ce;text-align:center" | 110
| style="background:#ffc7ce;text-align:center" | 111
| style="background:#c6efce;text-align:center" | [[#p112|112]]
| style="background:#ffc7ce;text-align:center" | 113
|-
| style="background:#c6efce;text-align:center" | [[#p114|114]]
| style="background:#ffc7ce;text-align:center" | 115
| style="background:#ffc7ce;text-align:center" | 116
| style="background:#c6efce;text-align:center" | [[#p117|117]]
| style="background:#ffc7ce;text-align:center" | 118
| style="background:#c6efce;text-align:center" | [[#p119|119]]
| style="background:#c6efff;text-align:center" | [[Period-120 pi-heptomino hasslers|120]]
| style="background:#c6efce;text-align:center" | [[#p121|121]]
| style="background:#ffc7ce;text-align:center" | 122
| style="background:#ffc7ce;text-align:center" | 123
| style="background:#ffc7ce;text-align:center" | 124
| style="background:#c6efce;text-align:center" | [[#p125|125]]
| style="background:#c6efce;text-align:center" | [[#p126|126]]
| style="background:#ffc7ce;text-align:center" | 127
| style="background:#c6efce;text-align:center" | [[#p128|128]]
| style="background:#c6efce;text-align:center" | [[#p129|129]]
|-
| style="background:#ffc7ce;text-align:center" | 130
|-
! colspan="16" |
|-
| style="background:#c6efce;text-align:center" | [[#p132|132]]
| style="background:#c6efce;text-align:center" | [[#p134|134]]
| style="background:#c6efce;text-align:center" | [[#p146|146]]
| style="background:#c6efce;text-align:center" | [[#p147|147]]
| style="background:#c6efce;text-align:center" | [[#p148|148]]
| style="background:#c6efce;text-align:center" | [[#p152|152]]
| style="background:#c6efff;text-align:center" | [[Period-156 pi-heptomino hasslers|156]]
| style="background:#c6efce;text-align:center" | [[#p158|158]]
| style="background:#c6efce;text-align:center" | [[#p159|159]]
| style="background:#c6efce;text-align:center" | [[#p160|160]]
| style="background:#c6efce;text-align:center" | [[#p168|168]]
| style="background:#c6efce;text-align:center" | [[#p171|171]]
| style="background:#c6efce;text-align:center" | [[#p172|172]]
| style="background:#c6efce;text-align:center" | [[#p182|182]]
| style="background:#c6efce;text-align:center" | [[#p186|186]]
| style="background:#c6efce;text-align:center" | [[#p196|196]]
|-
| style="background:#c6efce;text-align:center" | [[#p208|208]]
| style="background:#c6efce;text-align:center" | [[#p220|220]]
| style="background:#c6efce;text-align:center" | [[#p249|249]]
| style="background:#c6efce;text-align:center" | [[#p276|276]]
|-
! colspan="16" |
|-
| style="background:#ffffff;text-align:right" colspan="1" | Key:
| style="background:#c6efce;text-align:center" colspan="3" | known
| style="background:#ffc7ce;text-align:center" colspan="3" | unknown {{refn|group=note|Despite a pi-heptomino being perturbed in the [[Rectifier]] reaction, [[adjustable glider loop]]s at periods ≥ 106 are not usually regarded as Pi-heptomino hasslers, as they can be adjusted so that the evolution of Pi-heptomino sequence takes up a very small portion of space and time during a period.}}
| style="background:#c6efff;text-align:center" colspan="9" | known, shown on a separate page
|}
</center>




==p6==

{{EmbedViewer
|pname = p6piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 3 STARTFROM 3 ]]
|position = center
|caption = p6 found by Carson Cheng<ref name="post151913"/>
|style = width:300px;
}}

==p12==
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 46, y = 49, rule = B3/S23
38bo$37bobo$37bobo$36b2ob3o$31b2o2bo6bo$31bo2bob5obo$21bo10bobobobob2o
$8bo12b3o7b2obo2b2o$7b3o8bo5bo13bob4o$5b2o3bo7b6obo5b2o7bo2bo$5b3o2b2o
11bobo5bo6b2o$10bobo5b2ob2o2b2o5bo2b3o$2b2o2b4ob3o4b2ob2obo4b3o$2b2obo
4bo3bo6b2obo3bo9b2o$bobobob2obo3b2o7bo5bo3bo3bo$2o3bob2obobobo11b4o2bo
bo3b2o$bo3bo4bob2o11bo4b3obo3bo$2b3ob4o2b2o11b2o2bo4bobobo$3bobo13b3o
8b3ob2o3bo$4b2o2b3o7bo3bo9bo4bobo$5bo3b2o6bo5bo$6b3o8bo5bo$7bo9b3ob3o
2$27b3ob3o$27bo5bo$27bo5bo$11bobo4bo9bo3bo$11bo3b2ob3o8b3o$12bobobo4bo
2b2o9bobo4bo$12bo3bob3o4bo9bo3b2ob3o$11b2o3bobo2b4o11bobobo4bo$13bo3bo
3bo5bo8bo3bob3o$11b2o9bo3bob2o5b2o3bobo$19b3o4bob2ob2o4bo3bo$13b3o2bo
5b2o2b2ob2o2b2o$11b2o6bo5bobo16b2o$10bo7b2o5bob6o4b3o3bobo$8b3obo13bo
5bo2b2o6bo$7bo4b2o2bob2o7b3o2bobo7b2o$8b3obobobobo10bo3b2obo$10b5obo2b
o16b2o2bob2o$15bo2b2o13b2obobobobo$8b4ob2o17bob5obo2bo$8bo2bobo18bo6bo
2b2o$11bobo19b3ob2o$12bo22bobo$35bobo$36bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 6 ]]
|position = center
|caption = p12 found by [[Caleb R. Hilton]] based on a partial by [[hotcrystal0]].<ref name="post180899" /> Shown here with interchangeable p6 and p12 stabilisations.
|style = width:300px;
}}}}
{{gallery bottom}}

==p13==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p13piheptominowick
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 7 ]]
|position = center
|caption = p13 found by [[Matthias Merzenich]] on November 29, {{year|2019}} based on a [[wick]] by [[Jason Summers]]<ref name="post85862" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p13piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 7 ]]
|position = center
|caption = p13 found by [[EvinZL]] on September 2, {{year|2021}} based on a partial by [[David Raucci]]<ref name="post135504" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p14==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p14piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 7 ]]
|position = center
|caption = p14 found by b3s23love on August 19, {{year|2023}} based on a partial by Carson Cheng the same day
|style = width:300px;
}}}}
{{gallery bottom}}

==p15==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p15piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 8 ]]
|position = center
|caption = p15 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p15piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 8 ]]
|position = center
|caption = p15 found by w33z8kqrqk8zzzw33 and iNoMed, with a substantial reduction to the big sparker by Scorbie<ref name="message1029351199847235594"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p18==

{{EmbedViewer
|pname = p18piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 9 ]]
|position = center
|caption = p18 found by [[Mitchell Riley]] on August 27, {{year|2022}}<ref name="post150246"/>
|style = width:300px;
}}

==p20==

{{EmbedViewer
|pname = p20piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 10 ]]
|position = center
|caption = p20 found by [[Carson Cheng]] on February 19, {{year|2023}}
|style = width:300px;
}}

==p21==

{{EmbedViewer
|pname = p21piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 11 ]]
|position = center
|caption = p21 found by David Raucci
|style = width:300px;
}}

==p22==
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 19, y = 28, rule = B3/S23
4bo4b2o$3bobo3b2o$4bo2$8b3o$8b2o$8b3o3$18bo$16b3o$2b2o11bo$3bo11b2o$3o
$o3$8b3o$9b2o$8b3o2$14bo$8b2o3bobo$8b2o4bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 11 ]]
|position = center
|caption = p22 domino sparker, found by Mitchell Riley on July 23, {{year|2022}}. Also a [[century]] hassler.
|style = width:300px;
|apgcode = xp22_y47vgw252zgy4631z1156y76a8ozy38smzx4a4xfe
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 26, y = 18, rule = B3/S23
10b2o$10b2o2$bo13b2o$o2bo5b3o3bo$o2bo5b2o$2bo6b2o13bo$11bo10bo2bo$2bo
19bo2bo$o2bo19bo$o2bo10bo$bo13b2o6bo$15b2o5bo2bo$10bo3b3o5bo2bo$9b2o
13bo2$14b2o$14b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 11 ]]
|position = center
|caption = p22 found by [[Mitchell Riley]] on April 21, {{year|2023}}. The two p22s in this section share many similarities and even a few cells are the same throughout the entire cycle, but they are distinct enough to be considered different.
|style = width:300px;
}}}}
{{gallery bottom}}

==p23==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p23piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 12 ]]
|position = center
|caption = [[70P23]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p23piheptominohassler202304
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 12 ]]
|position = center
|caption = [[112P23]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p25==

{{EmbedViewer
|pname = p25piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 13 ]]
|position = center
|caption = p25 found by iNoMed on July 6, 2023<ref name="message1126509111635361902"/>
|style = width:300px;
}}

==p26==

{{EmbedViewer
|rle = x = 63, y = 73, rule = B3/S23
23bobobobo$22bob2ob2obo$20b3o7b3o$19bo4b2ob2o4bo$19bo2b2obobob2o2bo$18b
2obo3bobo3bob2o$19bobob3ob3obobo$19bobob2o3b2obobo23bo$20bo11bo22b5o$
54bo5bo$25b3o12b2o13b3o2bo$25b3o13bo16bob2o$25b3o13bobo5b2o6b2o3bo$25b
3o14b2o4b4o7bobo$25bobo19b6o3b4ob2o$20b2o3b3o18b2o4b3o$20bo26b6o3b4ob
2o$17b2obo27b4o7bobo$17bob2ob2o25b2o6b2o3bo$22bo8bo26bob2o$22bobo5bob
o8bobo11b3o2bo$23b2o4bo3bo7bo8b2o2bo5bo$30bobo8bob2o5b2o3b5o$31bo25bo
2$31bo25bo$25b2o3bobo8bob2o5b2o3b5o$25b2o2bo3bo7bo8b2o2bo5bo$30bobo8b
obo11b3o2bo$31bo26bob2o$49b2o6b2o3bo$5bo42b4o7bobo$3b5o39b6o3b4ob2o$2b
o5bo16b2o9b2o8b2o4b3o$2bo2b3o13b2o2b2o9b2o9b6o3b4ob2o$b2obo16bo20b2o4b
4o7bobo$o3b2o6b2o5bobo19bobo5b2o6b2o3bo$bobo7b4o4b2o9b3o8bo16bob2o$2o
b4o3b6o9b2o2bo3bo2b2o2b2o13b3o2bo$8b3o4b2o8b2o2b2ob2o2b2o16bo5bo$2ob4o
3b6o39b5o$bobo7b4o42bo$o3b2o6b2o$b2obo$2bo2b3o9bo5bo4bo$2bo5bo2b2o3b2o
5b2ob2ob2o5b2o$3b5o3b2o4bo5bo4bo7b2o$5bo2$5bo$3b5o3b2o4bo5bo4bo$2bo5b
o2b2o3b2o5b2ob2ob2o7b2o$2bo2b3o9bo5bo4bo9bobo$b2obo35bo$o3b2o6b2o25b2o
b2obo$bobo7b4o27bob2o$2ob4o3b6o26bo$8b3o4b2o18b3o3b2o$2ob4o3b6o19bobo
$bobo7b4o4b2o14b3o$o3b2o6b2o5bobo13b3o$b2obo16bo13b3o$2bo2b3o13b2o12b
3o$2bo5bo$3b5o22bo11bo$5bo23bobob2o3b2obobo$29bobob3ob3obobo$28b2obo3b
obo3bob2o$29bo2b2obobob2o2bo$29bo4b2ob2o4bo$30b3o7b3o$32bob2ob2obo$33b
obobobo!
|pname = p26piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 13 ]]
|position = center
|caption = p26 shuttle found by [[googleplex]] on March 20, 2024
|style = width:300px;
}}

==p33==

{{EmbedViewer
|pname = p33piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 16.5 ]]
|position = center
|caption = p33 found by Nico Brown on June 25, 2023<ref name="message11226700028484158845"/>
|style = width:300px;
}}

==p34==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 74p34
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 17 ]]
|position = center
|caption = [[74P34]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p34piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 17 ]]
|position = center
|caption = [[120P34]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p36==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p36piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 18 ]]
|position = center
|caption = p36 found by iNoMed on July 12, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p36piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 18 ]]
|position = center
|caption = p36 found by [[Period1GliderGun]] on August 13, {{year|2023}}, and reduced by squareroot12621<ref name="post165055"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p37==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 132p37
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = p37 ([[Beluchenko's other p37]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p37piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = p37 found by [[Period1GliderGun]] on April 2, {{year|2024}} based on a partial by cvojan
|style = width:300px;
}}}}
{{gallery bottom}}

==p38==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p38piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 20 ]]
|position = center
|caption = p38, found by [[David Raucci]] and reduced by [[iNoMed]]<ref name="post177480"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p39==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p39piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 20 ]]
|position = center
|caption = p39 ([[p39 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p39piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
|position = center
|caption = p39 found by [[iNoMed]] on May 3, {{year|2023}} based on a partial by Mitchell Riley. Both dimer and monomer forms shown
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p39c4piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
|position = center
|caption = p39 found by [[Nico Brown]] on June 1, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p41==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p41piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = [[p41 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = vexstabilisation
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 2.5 GPS 19 ]]
|position = center
|caption = [[Vex]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p43==

{{EmbedViewer
|pname = p43piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 19 ]]
|position = center
|caption = [[p43 pi-heptomino hassler]]
|style = width:300px;
}}
==p46==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = tannersp46
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 16 GPS 23 ]]
|position = center
|caption = [[Tanner's p46]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p46piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 23 ]]
|position = center
|caption = p46 found by Carson Cheng on August 20, {{year|2022}}, based on a partial by Mitchell Riley; reduced by iNoMed. Reduced to not include twin bees shuttle on September 2, {{year|2023}}.<ref name="post166243"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p46piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 23 ]]
|position = center
|caption = p46 found by iNoMed on October 17, {{year|2023}}<ref name="post169277"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p47==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p47piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 24 ]]
|position = center
|caption = p47 found by Mitchell Riley on August 4, 2023
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p47d4xpiheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 24 ]]
|position = center
|caption = p47 found by Nico Brown on March 6, 2024
|style = width:300px;
}}}}
{{gallery bottom}}

==p49==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p49rpentominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 24.5 STARTFROM 27 ]]
|position = center
|caption = [[p49 R-pentomino hassler]], which also doubles as a pi hassler
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p49pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 24.5 ]]
|position = center
|caption = [[p49 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p51==

{{EmbedViewer
|pname = p51piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 26 ]]
|position = center
|caption = p51 found by Matthias Merzenich based on a partial by Mitchell Riley<ref name="post157243" />
|style = width:300px;
}}

==p52==

{|
|{{EmbedViewer
|pname = p52piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26 ]]
|position = center
|caption = p52 found by Mitchell Riley on April 5, {{year|2023}}. Two stabilisations are shown: the [[heavyweight emulator]] is simpler, but a stable form also exists.
|style = width:300px;
}}
|{{EmbedViewer
|pname = p52piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 4 GPS 26 ]]
|position = center
|caption = p52 found by [[David Raucci]] on November 24, 2023
|style = width:300px;
}}
|}

==p53==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p53piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26.5 ]]
|position = center
|caption = p53 found by Nico Brown on June 25, {{year|2023}}.<ref name="post162952"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p53piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 26.5 ]]
|position = center
|caption = p53 found by Mitchell Riley on July 3, {{year|2023}}. Used to form the smallest known [[Period-53 glider gun|p53 glider gun]].
|style = width:300px;
}}}}
{{gallery bottom}}

==p55==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p55piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 27.5 ]]
|position = center
|caption = p55 found by David Raucci based on a partial by Carson Cheng<ref name="message1037769689738248324" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p55piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 27.5 ]]
|position = center
|caption = p55 found by Nico Brown on May 31, 2023<ref name="message1113622014662545450" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p58==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 29 ]]
|position = center
|caption = 54P58 ([[p58 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29 ]]
|position = center
|caption = 68P58 found by Mitchell Riley<ref>The pi-heptomino doesn't appear but two instances of its three-generation descendant are hassled. Occurrences in the mvr_catforce_stdin census on Catagolue with different stator: {{LinkCatagolue|xp58_y664koy08k871zz0178cy5c4ogy9g88czwg8gy53210g8oy5121z6221y91346y562sgzzy8gs252y0354c|patternname=80P58|style=nobullet}}</ref>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p58piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29 ]]
|position = center
|caption = p58 weak lightweight sparker, found by iNoMed based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p59==

{{EmbedViewer
|pname = p59piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 29.5 ]]
|position = center
|caption = [[p59 pi-heptomino hassler]], found by Mitchell Riley on April 4, 2023<ref name="post160080" />
|style = width:300px;
}}

==p60==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p60piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 30 ]]
|position = center
|caption = p60 found by Mitchell Riley on May 10, 2023<ref name="post161369" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p60piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 30 ]]
|position = center
|caption = p60 found by [[hotcrystal0]] on June 15, 2023 based on a partial by David Raucci<ref name="post162680" />
|style = width:300px;
}}}}
{{gallery bottom}}

==p61==

{{EmbedViewer
|pname = p61piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 30.5 ]]
|position = center
|caption = p61 found by Mitchell Riley on December 12, 2022<ref name="message1051780635578077185"/><ref>{{LinkForumThread|format=ref|p=154792|title=Re: Oscillator Discussion Thread|author=Mitchell Riley|date=December 13, 2022}}</ref>
|style = width:300px;
|apgcode = xp61_yddb8oz0oggmicggkcx6513zca260743zy066y74ehryfok46zy1ggkcyfc4ogy7ggzy11yi321y7gh1g08ozytggxok47o7k55dzyoc88r221y411zyq32
}}

==p63==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p63piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 31.5 ]]
|position = center
|caption = p63 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p63piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 31.5 ]]
|position = center
|caption = p63 found by Nico Brown
|style = width:300px;
}}}}
{{gallery bottom}}

==p65==

{{EmbedViewer
|pname = p65piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 34 ]]
|position = center
|caption = p65 found by Matthias Merzenich in a dimer form on March 15, 2023, based on a partial result by Mitchell Riley, and reduced by David Raucci, Jormungant, hotcrystal0, and Matthias Merzenich<ref name="post159147"/>
|style = width:300px;
}}

==p68==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p68piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 34 ]]
|position = center
|caption = p68 found by Luke Kiernan on October 1, {{year|2022}}, and reduced by iNoMed on the same day
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p68piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 34 ]]
|position = center
|caption = p68 found by iNoMed on October 5, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p69==

{{EmbedViewer
|pname = p69piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p69 found by Matthias Merzenich and Mitchell Riley on March 7, {{year|2023}}, and reduced by iNoMed on the same day<ref name="post158676"/>
|style = width:300px;
}}

==p70==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 found by Luke Kiernan on August 11, {{year|2022}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p70piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p70 domino sparker, found by Carson Cheng on August 5, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p72==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p72lumpsofmuckhassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 32 STARTFROM 33 ]]
|position = center
|caption = p72 found by [[Carson Cheng]] on August 10, {{year|2022}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p72piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 32 ]]
|position = center
|caption = p72, found by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p72piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 32 ]]
|position = center
|caption = p72, found by Nico Brown on October 20, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p74==

{{EmbedViewer
|pname = p74piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 32 ]]
|position = center
|caption = p74 found by [[Tanner Jacobi]] based on a partial by [[Mitchell Riley]]<ref name="message994788190143651841"/>
|style = width:300px;
}}

==p76==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 38 ]]
|position = center
|caption = p76 ([[p76 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominohassler4
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 38 ]]
|position = center
|caption = p76 found by [[iNoMed]] on May 6, {{year|2023}} based on a partial by [[Mitchell Riley]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p76piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 38 ]]
|position = center
|caption = [[p76 pi-heptomino shuttle]]
|style = width:300px;
}}}}
{{gallery bottom}}

==p77==

{{EmbedViewer
|pname = p77pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 38.5 ]]
|position = center
|caption = p77 found by glider_rider on November 3, {{year|2022}}.<ref name="message1037786692179992657"/>
|style = width:300px;
}}

==p78==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p78piheptominohassler
|viewerconfig = #C [[ HEIGHT 520 THUMBSIZE 2 ZOOM 10 GPS 39 ]]
|position = center
|caption = p78 found by Carson Cheng on May 26, {{year|2023}}
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p78piheptominohassler2
|viewerconfig = #C [[ HEIGHT 520 THUMBSIZE 2 ZOOM 8 GPS 39 ]]
|position = center
|caption = p78 found by Nico Brown on October 26, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p79==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p79pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 39.5 ]]
|position = center
|caption = p79 ([[p79 pi-heptomino hassler]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p79piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 39.5 ]]
|position = center
|caption = p79 found by Nico Brown on June 1, 2023
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p79picenturyhassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 39.5 ]]
|position = center
|caption = p79 found by iNoMed on September 28, 2023 based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery bottom}}

==p80==

{{EmbedViewer
|pname = p80pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 40 ]]
|position = center
|caption = p80 found by [[Arie Paap]] and [[praosylen]] on October 8, {{year|2018}} with reductions by [[Chris Cain]] and Matthias Merzenich<ref name="post159147"/>
|style = width:300px;
}}

==p81==

{{EmbedViewer
|pname = p81piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 41 ]]
|position = center
|caption = p81 found iNoMed on October 12, {{year|2023}}; p81 engine by [[Luke Kiernan]] on July 6, 2022, p27 sparker by Carson Cheng on August 15, 2022
|style = width:300px;
}}

==p82==

{{EmbedViewer
|pname = p82pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 41 ]]
|position = center
|caption = p82 found by [[Entity Valkyrie]]<ref name="post148649"/>
|style = width:300px;
}}

==p86==

{{EmbedViewer
|pname = p86piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 43 ]]
|position = center
|caption = p86 found by Mitchell Riley and reduced by iNoMed
|style = width:300px;
}}

==p87==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 84p87
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 44 STARTFROM 50 ]]
|position = center
|caption = [[84P87]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = cappedp87gun
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 44 ]]
|position = center
|caption = Capped p87 glider gun
|style = width:300px;
}}}}
{{gallery bottom}}

==p88==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = 49p88
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 44 ]]
|position = center
|caption = p88 ([[49P88]])
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p88piblonktiehassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 44 ]]
|position = center
|caption = p88 found by David Raucci on July 4, {{year|2023}} based on a partial by Mitchell Riley. It is also a [[blonk-tie]] [[blonk-tie hasslers|hassler]].
|style = width:300px;
}}}}
{{gallery bottom}}

==p90==

{{EmbedViewer
|pname = p90piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 45 ]]
|position = center
|caption = p90 found by Mitchell Riley on March 30, {{year|2023}}
|style = width:300px;
}}

==p92==

{{EmbedViewer
|pname = p92piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 46 ]]
|position = center
|caption = p92 found by Carson Cheng on October 1, {{year|2022}} using the [[speed tunnel]] reaction
|style = width:300px;
}}

==p94==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p94piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 47 ]]
|position = center
|caption = p94 found by Nico Brown and reduced by iNoMed
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = 54p94
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 47 STARTFROM 39 ]]
|position = center
|caption = p94 ([[54P94]])
|style = width:300px;
}}}}
{{gallery bottom}}

==p95==

{{EmbedViewer
|pname = p95piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 47 ]]
|position = center
|caption = p95 found by Mitchell Riley on November 15, {{year|2022}}<ref name="post153589"/>. See [[thunderbird]] for its use as a sparker in a p190.
|style = width:300px;
}}

==p96==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 48 ]]
|position = center
|caption = p96 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 48 ]]
|position = center
|caption = p96 found by Luke Kiernan
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p96piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 48 ]]
|position = center
|caption = p96 found by Carson Cheng and reduced by iNoMed
|style = width:300px;
}}}}
{{gallery bottom}}

==p100==

{{EmbedViewer
|pname = p100piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 46 ]]
|position = center
|caption = p100, found by Nico Brown on November 13, {{year|2022}}<ref name="post153483"/>
|style = width:300px;
}}

==p104==

{{EmbedViewer
|pname = p104piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 52 ]]
|position = center
|caption = p104, found by Nico Brown on October 29, {{year|2023}}, and reduced by hotcrystal0 and Evin<ref name="post170134"/>
|style = width:300px;
}}

==p105==

{{EmbedViewer
|pname = p105pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 52 ]]
|position = center
|caption = p105, found by [[Period1GliderGun]] on March 9, {{year|2024}} based on a partial by [[cvojan]] on October 1, {{year|2022}}, and reduced by iNoMed the next day<ref name="post180023"/>
|style = width:300px;
}}

==p106==

{{EmbedViewer
|pname = p106piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 8 GPS 53 ]]
|position = center
|caption = p106, found by iNoMed on January 9, {{year|2024}}, and reduced by the same person on January 12<ref name="post175501"/>
|style = width:300px;
}}

==p108==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p108piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 54 ]]
|position = center
|caption = p108 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p108piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 54 ]]
|position = center
|caption = p108 found by Carson Cheng on May 16, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p112==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p112piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 56 ]]
|position = center
|caption = p112 found by JP21 based on a partial by David Raucci<ref name="post148088"/>
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p112piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 56 ]]
|position = center
|caption = p112 found by Carson Cheng on May 8, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p114==

{{EmbedViewer
|pname = p114piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 57 ]]
|position = center
|caption = Capped p114 glider gun found by David Raucci
|style = width:300px;
}}

==p117==

{{EmbedViewer
|pname = p117piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p117 found by Mitchell Riley on April 5, {{year|2023}}
|style = width:300px;
}}

==p119==

{{EmbedViewer
|pname = 72p119
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 59 ]]
|position = center
|caption = [[72P119]]
|style = width:300px;
}}

==p121==

{{EmbedViewer
|pname = p121piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p121, found by iNoMed on October 1, 2023 based on a partial by Mitchell Riley<ref name="post168229" />
|style = width:300px;
}}

==p125==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p125piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p125 found by praosylen
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p125piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p125 found by Carson Cheng on January 26, {{year|2023}}<ref name="post156472"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p126==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p126 found by praosylen and Matthias Merzenich based on a partial by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p126 found by David Raucci and reduced by [[Christopher D'Agostino]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p126piheptominohassler3
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p126 found by iNoMed on November 15, 2023
|style = width:300px;
}}}}
{{gallery bottom}}

==p128==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p128piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p128 found by David Raucci
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p64andp128piheptominohasslers
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p64 and related p128, found by EvinZL (p128) and [[iNoMed]] (p64) on October 16, {{year|2022}}.<ref name="message1031207640174428190" />
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p128piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p128 found by Nico Brown on October 20, {{year|2023}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p129==

{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p129piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p129 found by iNoMed on September 21, 2023 based on a partial by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p129piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p129 found by iNoMed on October 10, 2023<ref name="message1161199350769270794"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p132==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p132piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 60 ]]
|position = center
|caption = found by Nico Brown on October 21, 2023, reduced by [[AlbertArmStain]] the same day, then further reduced by an unknown person.
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 54, y = 50
14bo2bo$14b4o$12b2o4b2o18bo$12bo2b2o3bo16bobo$14b2ob3o17bobo$17bo18b
2ob3o$14b3o25bo$6b2o6bo21b2ob3o$7bo11b2o15b2obo$7bobo9bobo$8b2o11bo
11b2o$21b2o12bo2$35bo$2bo34b2o$obo30b2o2b2o$bobo$bo6b2ob2o$8bo3bo$9b
3o$2b2o$bobo$bo18b3o$2o20bo$21bo$32bo$31bo20b2o$31b3o18bo$50bobo$50b
2o$42b3o$41bo3bo$41b2ob2o6bo$50bobo$15b2o2b2o30bobo$15b2o34bo$18bo2$
18bo12b2o$19b2o11bo11b2o$32bobo9bobo$14bob2o15b2o11bo$12b3ob2o21bo6b
2o$11bo25b3o$12b3ob2o18bo$14bobo17b3ob2o$14bobo16bo3b2o2bo$15bo18b2o
4b2o$36b4o$36bo2bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 GPS 60 ]]
|position = center
|caption = a variant that was found several days later and uses [[Tub-with-tail eater|eater 5]]-variants instead of one pair of [[Unix|unices]] and [[Eater 2|eater 2s]] instead of the other pair.
|style = width:300px;
}}}}
{{gallery bottom}}

==p134==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p134piheptominohassler
|viewerconfig = #C [[ HEIGHT 400 THUMBSIZE 2 GPS 67 ]]
|position = center
|rle = x = 56, y = 119, rule = B3/S23
28bo$27bobo$28bo$19bo$19bobo4b5o$18bobo5bo4bo$20bo8bo2bo$29b2obo2bo$26b
o5bobobo$25bobo4bo2bo$25bo2bo2b2o$26b2o4$5bo26b2o$4bobo20b2o2bobo$3bo
b2o11b2o7bo3bo4bo$3bo13bo2bo7b3ob5o$2obo13bo2bo9bobo$ob2obobo10b2o10b
obob3o$4bob2o23b2obo2bo$4bo31b2o$3b2o2$24b2o$23b2o$25bo3$11b2o25b2o$11b
2o22b2o2bo$35bob2o2$29b2o5b3o$14bob2o13bo3bo2bo$12b3ob2o12b2o4b2o$11b
o16bo$12b3ob2o9b2ob2o$14b2o2bo8bo2b2o$17b2o8bo2bo$28b2o3$28b2o$28b2o6$
17b2o34b2o$17b2o20b2o12bo$38bobo4bo8bo$38bo5bobo6b2o$b2o35bobo3bo2bo4b
o$2bo36b2o5bo5b3o$2bobo50bo$3b2o49b2o2$2o49b2o$o50bobo$b3o5bo5b2o36bo
$3bo4bo2bo3bobo35b2o$b2o6bobo5bo$bo8bo4bobo$2bo12b2o20b2o$b2o34b2o6$26b
2o$26b2o3$26b2o$25bo2bo8b2o$24b2o2bo8bo2b2o$24b2ob2o9b2ob3o$27bo16bo$
18b2o4b2o12b2ob3o$17bo2bo3bo13b2obo$17b3o5b2o2$17b2obo$16bo2b2o22b2o$
16b2o25b2o3$30bo$31b2o$30b2o2$51b2o$18b2o31bo$18bo2bob2o23b2obo$19b3o
bobo10b2o10bobob2obo$23bobo9bo2bo13bob2o$19b5ob3o7bo2bo13bo$19bo4bo3b
o7b2o11b2obo$22bobo2b2o20bobo$22b2o26bo4$28b2o$23b2o2bo2bo$20bo2bo4bo
bo$19bobobo5bo$20bo2bob2o$23bo2bo8bo$24bo4bo5bobo$25b5o4bobo$36bo$27b
o$26bobo$27bo!
|caption = found by Period1GliderGun on February 1, 2024, based on a partial by Mitchell Riley.<ref name="post177164"/> Supported by unstabilized [[141P134]]s.
|style = width:300px;
}}}}
{{gallery bottom}}

==p146==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p146piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 GPS 60 ]]
|position = center
|caption = [[p146 pi-heptomino hassler]]
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p146piheptominohassler2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p146 pi-heptomino shuttle, found by Tanner Jacobi<ref name="post148412"/><ref name="message998666185430274148"/>
|style = width:300px;
}}}}
{{gallery bottom}}

==p147==

{{EmbedViewer
|pname = p147piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p147 found by EvinZL based on a partial by David Raucci
|style = width:300px;
}}

==p148==

{{EmbedViewer
|pname = p148piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 6 GPS 60 ]]
|position = center
|caption = p148 found by iNoMed on January 14, {{year|2023}} based on a partial by Luke Kiernan<ref name="post155943"/>
|style = width:300px;
}}

==p152==

{{EmbedViewer
|pname = p152piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p152 found by ljkiernan1
|style = width:300px;
}}

==p158==

{{EmbedViewer
|pname = p158piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p158 found by iNoMed on September 28, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}

==p159==

{{EmbedViewer
|pname = p159piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p159 found by iNoMed on September 18, {{year|2023}} based on a partial by Mitchell Riley
|style = width:300px;
}}

==p160==
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = p160piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p160 found by Mitchell Riley
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = p160piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p160 found by Mitchell Riley on September 5, {{year|2022}}
|style = width:300px;
}}}}
{{gallery bottom}}

==p168==

{{EmbedViewer
|pname = piorbital
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p168 ([[pi orbital]])
|style = width:300px;
}}

==p171==

{{EmbedViewer
|pname = p171piheptominohassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p171 found by Mitchell Riley on September 7, {{year|2022}} as a partial to be completed, not noticed as already complete as-is until February 18, {{year|2024}}<ref name="post178449"/>
|style = width:300px;
}}

==p172==

{{EmbedViewer
|pname = p172piheptominoshuttle
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 3 GPS 60 ]]
|position = center
|caption = p172 found by Caleb R. Hilton <ref name="post185446"/>
|style = width:300px;
}}

==p182==

{{EmbedViewer
|pname = p182pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 10 GPS 60 ]]
|position = center
|caption = p182, found by EvinZL on November 14, {{year|2021}},<ref name="post137664"/> and reduced by iNoMed in January {{year|2023}}<ref name="post156735"/>
|style = width:300px;
}}

==p186==

{{EmbedViewer
|pname = p186pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p186, found by EvinZL on September 26, {{year|2022}}<ref name="post151382"/>
|style = width:300px;
}}

==p196==

{{EmbedViewer
|pname = p196pihassler
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 60 ]]
|position = center
|caption = p196 ([[p196 pi-heptomino hassler]])
|style = width:300px;
}}

==p208==

{{EmbedViewer
|pname = p208piheptominohassler
|viewerconfig = #C [[ HEIGHT 560 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p208, found by [[Period1GliderGun]] on February 16, 2024 based on a partial by Mitchell Riley<ref name="post178262" />
|style = width:300px;
}}

==p220==

{{EmbedViewer
|pname = p220piheptominohassler
|viewerconfig = #C [[ HEIGHT 560 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p220, found by praosylen<ref name="post133107" />
|style = width:300px;
}}

==p249==

{{EmbedViewer
|rle = x = 66, y = 57, rule = B3/S23
31bo$16bo14b3o$16b3o15bo11b2o$19bo13b2o10bobo$18b2o25bo$36bo7b2o$35b3o
$34b2o2b2o4b4o$39b3o2bo2bo$39b3o4bo$39bo2bo4b3o$34b2o2b4o7bo$35bob2ob
2o$36b3o$2o31b2o$2o30b2obo$33bo2bo$34b2obob2o8b2o$24b3o9b6o7bobo$23bo
2bo4b2o5bo2bo5bobo2bobo$5b2o15bo3bo4b2o2b7o5b2o2b2ob3o$5b2o15bo12b2o3b
o16bo$22bo3bo9bo14b2ob3o$23bo2bo24b2obo$24b3o8$39b3o$11bob2o24bo2bo$9b
3ob2o14bo9bo3bo$8bo16bo3b2o12bo15b2o$9b3ob2o2b2o5b7o2b2o4bo3bo15b2o$11b
obo2bobo5bo2bo5b2o4bo2bo$14bobo7b6o9b3o$15b2o8b2obob2o$29bo2bo$30bob2o
30b2o$31b2o31b2o$27b3o$24b2ob2obo$16bo7b4o2b2o$16b3o4bo2bo$19bo4b3o$18b
o2bo2b3o$18b4o4b2o2b2o$28b3o$20b2o7bo$20bo25b2o$18bobo10b2o13bo$18b2o
11bo15b3o$32b3o14bo$34bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 60 ]]
|position = center
|caption = p249, found by iNoMed on April 6, {{year|2023}}<ref name="post160166"/>
|style = width:300px;
}}

==p276==

{{EmbedViewer
|rle = x = 50, y = 95, rule = B3/S23
21b2o5b2o$21b2o5b2o12$23b2ob2o$22bo5bo2$21bo7bo$21bo2bobo2bo$21b3o3b3o
9$21b2o$21b2o5$12bo26b2o3bo$12b3o23bo2bobobo2bo$15bo22bob2obob4o$14b2o
21b2o4bo$22b3o12bo2bobob5o$21bo3bo12bobobobobo2bo$21b2o2b2o12bo2bo2bo
2b2o$20bo2bob2o11bobob2o$21bobo2bo12b2obo2bo$18b3o3bo12bo2bob4o$17b2o
3bo5b3o6b2obobo$16bo12b2o7bobo2b3o$17b2o19bobo4bo$18bo20bo2$10bo14bo$
4bo4bobo13bobo$4b3o2bobo13bobo$7bobob2o13bo$4b4obo2bo$4bo2bob2o$6b2obo
bo$2o2bo2bo2bo$o2bobobobobo$b5obobo2bo$6bo4b2o21b2o$b4obob2obo22bo$bo
2bobobo2bo23b3o$5bo3b2o26bo5$27b2o$27b2o9$20b3o3b3o$20bo2bobo2bo$20bo
7bo2$21bo5bo$22b2ob2o12$20b2o5b2o$20b2o5b2o!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 5 GPS 60 ]]
|position = center
|caption = Capped p276 glider gun, found by Caleb R. Hilton on July 22, {{year|2023}}
|style = width:300px;
}}

==See also==
* {{CategoryLink|Oscillators with specific hassled object}}

==Notes==
<references group=note/>

==References==
<references>
<ref name="message994788190143651841">{{CiteDiscord
|author = Tanner Jacobi
|date = July 7, 2022
|channel = cgol
|id = 994788190143651841
}}</ref>
<ref name="message998666185430274148">{{CiteDiscord
|author = Tanner Jacobi
|date = July 18, 2022
|channel = cgol
|id = 998666185430274148
}}</ref>
<ref name="message1029351199847235594">{{CiteDiscord
|author = Scorbie
|date = October 11, 2022
|channel = cgol
|id = 1029351199847235594
}}</ref>
<ref name="message1031207640174428190">{{CiteDiscord
|author = iNoMed
|date = October 16, 2022
|channel = cgol
|id = 1031207640174428190
}}</ref>
<ref name="message1037769689738248324">{{CiteDiscord
|author = David Raucci
|date = November 3, 2022
|channel = cgol
|id = 1037769689738248324
}}</ref>
<ref name="message1037786692179992657">{{CiteDiscord
|author = glider_rider
|date = November 3, 2022
|channel = cgol
|id = 1037786692179992657
}}</ref>
<ref name="message1051780635578077185">{{CiteDiscord
|author = iNoMed 
|date = December 12, 2022
|channel = cgol
|id = 1051780635578077185
}}</ref>
<ref name="message1113622014662545450">{{CiteDiscord
|author = glider_rider
|date = May 31, 2023
|channel = cgol
|id = 1113622014662545450
}}</ref>
<ref name="message11226700028484158845">{{CiteDiscord
|author = Nico Brown
|date = June 25, 2023
|channel = cgol
|id = 1122670002848415884
}}</ref>
<ref name="message1126509111635361902">{{CiteDiscord
|author = iNoMed
|date = July 6, 2023
|channel = cgol
|id = 1126509111635361902
}}</ref>
<ref name="message1161199350769270794">{{CiteDiscord
|author = iNoMed
|date = October 10, 2023
|channel = cgol
|id = 1161199350769270794
}}</ref>
<ref name="post85862">{{LinkForumThread
|format = ref
|p = 85862
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = November 29, 2019
}}</ref>
<ref name="post133107">{{LinkForumThread
|format = ref
|p = 133107
|title = Re: Oscillator Discussion Thread
|author = praosylen
|date = July 5, 2021
}}</ref>
<ref name="post135504">{{LinkForumThread
|format = ref
|p = 135504
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = September 2, 2021
}}</ref>
<ref name="post137664">{{LinkForumThread
|format = ref
|p = 137664
|title = Re: Oscillator Discussion Thread
|author = EvinZL
|date = November 14, 2021
}}</ref>
<ref name="post148088">{{LinkForumThread
|format = ref
|p = 148088
|title = Re: Oscillator Discussion Thread
|author = JP21
|date = July 9, 2022
}}</ref>
<ref name="post148412">{{LinkForumThread
|format = ref
|p = 148412
|title = Re: Oscillator Discussion Thread
|author = Tanner Jacobi
|date = July 18, 2022
}}</ref>
<ref name="post148649">{{LinkForumThread
|format = ref
|p = 148649
|title = Re: Oscillator Discussion Thread
|author = Entity Valkyrie
|date = July 25, 2022
}}</ref>
<ref name="post150246">{{LinkForumThread
|format = ref
|p = 150246
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = August 27, 2022
}}</ref>
<ref name="post151382">{{LinkForumThread
|format = ref
|p = 151382
|title = Re: Oscillator Discussion Thread
|author = EvinZL
|date = September 26, 2022
}}</ref>
<ref name="post151913">{{LinkForumThread
|format = ref
|p = 151913
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = October 8, 2022
}}</ref>
<ref name="post153483">{{LinkForumThread
|format = ref
|p = 153483
|title = Re: Oscillator Discussion Thread
|author = Nico Brown
|date = November 13, 2022
}}</ref>
<ref name="post153589">{{LinkForumThread
|format = ref
|p = 153589
|title = Re: Oscillator Discussion Thread
|author = Chris857
|date = November 15, 2022
}}</ref>
<ref name="post155943">{{LinkForumThread
|format = ref
|p = 155943
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 14, 2023
}}</ref>
<ref name="post156472">{{LinkForumThread
|format = ref
|p = 156472
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = January 26, 2023
}}</ref>
<ref name="post156735">{{LinkForumThread
|format = ref
|p = 156735
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 30, 2023
}}</ref>
<ref name="post157243">{{LinkForumThread
|format = ref
|p = 157243
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = February 9, 2023
}}</ref>
<ref name="post158676">{{LinkForumThread
|format = ref
|p = 158676
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = March 7, 2023
}}</ref>
<ref name="post159147">{{LinkForumThread
|format = ref
|p = 159147
|title = Re: Oscillator Discussion Thread
|author = Matthias Merzenich
|date = March 17, 2023
}}</ref>
<ref name="post160080">{{LinkForumThread
|format = ref
|p = 160080
|title = Re: Oscillator Discussion Thread
|author = AlbertArmStain
|date = April 4, 2023
}}</ref>
<ref name="post160166">{{LinkForumThread
|format = ref
|p = 160166
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = May 10, 2023
}}</ref>
<ref name="post161369">{{LinkForumThread
|format = ref
|p = 161369
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = April 6, 2023
}}</ref>
<ref name="post162680">{{LinkForumThread
|format = ref
|p = 162680
|title = Re: Oscillator Discussion Thread
|author = hotcrystal0
|date = June 15, 2023
}}</ref>
<ref name="post162952">{{LinkForumThread
|format = ref
|p = 162952
|title = Re: Oscillator Discussion Thread
|author = Nico Brown
|date = June 25, 2023
}}</ref>
<ref name="post165055">{{LinkForumThread
|format = ref
|p = 165055
|title = Re: Oscillator Discussion Thread
|author = squareroot12621
|date = August 13, 2023
}}</ref>
<ref name="post166243">{{LinkForumThread
|format = ref
|p = 166243
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = September 2, 2023
}}</ref>
<ref name="post168229">{{LinkForumThread
|format = ref
|p = 168229
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = October 1, 2023
}}</ref>
<ref name="post169277">{{LinkForumThread
|format = ref
|p = 169277
|title = Re: Oscillator Discussion Thread
|author = Carson Cheng
|date = October 17, 2023
}}</ref>
<ref name="post170134">{{LinkForumThread
|format = ref
|p = 170134
|title = Re: Oscillator Discussion Thread
|author = Evin
|date = October 29, 2023
}}</ref>
<ref name="post175501">{{LinkForumThread
|format = ref
|p = 175501
|title = Re: Oscillator Discussion Thread
|author = iNoMed
|date = January 12, 2024
}}</ref>
<ref name="post177164">{{LinkForumThread
|format = ref
|p = 177164
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 2, 2024
}}</ref>
<ref name="post177480">{{LinkForumThread
|format = ref
|p = 177480
|title = Re: Oscillator Discussion Thread
|author = David Raucci
|date = February 6, 2024
}}</ref>
<ref name="post178262">{{LinkForumThread
|format = ref
|p = 178262
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 16, 2024
}}</ref>
<ref name="post178449">{{LinkForumThread
|format = ref
|p = 178449
|title = Re: Oscillator Discussion Thread
|author = Period1GliderGun
|date = February 18, 2024
}}</ref>
<ref name="post180023">{{LinkForumThread
|format = ref
|p = 180023
|title = Re: Oscillator Discussion Thread
|author = David Raucci
|date = March 10, 2024
}}</ref>
<ref name="post180899">{{LinkForumThread
|format = ref
|p = 180899
|title = Re: Oscillator Discussion Thread
|author = Caleb R. Hilton
|date = March 27, 2024
}}</ref>
<ref name="post185446">{{LinkForumThread
|format = ref
|p = 185446
|title = Re: Oscillator Discussion Thread
|author = Caleb R. Hilton
|date = May 20, 2024
}}</ref>
</references>

[[Category:Pi-heptomino hasslers| ]]
__NOTOC__

Primer

2024-05-26T20:41:55Z

Roee.s:

{{Pattern
|name = Primer
|pname = primer
|c = 2953
|bx = 440
|by = 294
|discoverer = Dean Hickerson
|discoveryear = 1991
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B3/S23
|plaintext = true
|rle = true
|hideimg = true
}}
'''Primer''' is a [[pattern]] that was constructed by [[Dean Hickerson]] on November 1, {{year|1991}} that produces a stream of [[lightweight spaceship]]s representing [[Prime number|prime numbers]]. N is prime if and only if a lightweight spaceship escapes to the left of the [[pentadecathlon]] at the bottom-left corner of the pattern at [[generation]] {{nowrap|120 N + 100}}.<ref>{{filename|PRIMES.LIF}} from [[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ {{filename|lifep.zip}} pattern collection]. Accessed on July 28, 2009.</ref><ref>{{CiteGollyPatternCollection|four-primers.rle.gz|accessdate=July 28, 2009}}</ref> It was the first known pattern created that computes prime numbers, though others have since been constructed based on the same ideas.<ref name="post6330" />

It works by using [[glider]]s to emulate a prime number sieve<ref>{{LinkWikipedia|Sieve_of_Eratosthenes|name=Sieve of Eratosthenes|nobullet=nobullet}}</ref>. Lightweight spaceships that move westward are deleted by gliders that represent positive odd integers if the lightweight spaceship represents a multiple of that number.

{{EmbedViewer
|pname = primer
|viewerconfig = #C [[ HEIGHT 640 WIDTH 960 THUMBSIZE 2 ZOOM 2 ]]
|position = center
|caption = The pattern
|style = width:300px;
}}

==Image gallery==
{|
|-
|[[Image:Primer_stream.png|thumb|The stream of spaceships representing prime numbers]]
|}

==Videos==
{|
|-
|{{#ev:youtube|68nEX5CEmZE|300|left|Primer outputting the prime numbers from 2 through 37}}
|}

==See also==
* [[Fermat prime calculator]]
* [[tlog(t) growth]]
* [[Twin prime calculator]]

==References==
<references>
<ref name="post6330">{{LinkForumThread
|format = ref
|p = 6330
|title = Re: The theory behind Primer?
|author = Jason Summers
|date = February 28, 2012
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#primer}}
* {{LinkGoLNews|2007/12/prime_number_calculators.html|title=Prime Number Calculators|date=December 15, 2007|author=Dave Greene}}
* {{LinkGoLNews|2010/02/prime_numbers.html|title=Prime numbers|date=February 04, 2010|author=Adam P. Goucher}}

[[Category:Infinite growth]]

__NOTOC__

Roteightor

2024-05-26T11:14:59Z

Roee.s:

{{Oscillator
|name = Roteightor
|pname = roteightor
|c = 35
|bx = 14
|by = 14
|p = 8
|m = 2
|h = 11.0
|v = 0.63
|sv = 0.63
|discoverer = Robert Wainwright
|discoveryear = 1972
|rulemin = B3/S23
|rulemax = B368/S02378
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3aijq/S2-in3ijnr
|isorulemax = B2cik34-ajn5-aq67e8/S0234-ajw5-nqy6-k78
|plaintext = true
|rle = true
|synthesis = 27
|synthesisRLE = true
|animated = yes
|viewerconfig = #C [[ GPS 2 LOOP 8 THUMBSIZE 3 WIDTH 480 HEIGHT 480 ]]
|apgcode = xp8_032acy1oge2zwggseb6z4701y1354c
|pentadecathlonid = 35P8.1
}}
'''Roteightor''' is a {{period|8}} [[oscillator]] with 35 [[cell]]s. It was discovered by [[Robert Wainwright]] in {{year|1972}}.<ref>{{CiteLifeline|vol=6|pages=page 3}}</ref> It consists of four [[eater 1]]s [[hassle|hassling]] a [[fleet]] [[predecessor]] that resembles a standard spaceship of length 3, sometimes called an '''underweight spaceship''' (UWSS). It can also be extended as an [[agar]], as noted by [[Dean Hickerson]] in January {{year|1990}}, to make a family of oscillators called '''multiple roteightors'''.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref>

{{EmbedViewer
|pname = multipleroteightors
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 Z 12 HEIGHT 480 GPS 2 AUTOSTART LOOP 8 ]]
}}

==Etymology==
The roteightor is period eight, the rotor appears to rotate, and in an extended roteightor with the underweight spaceships in their dense phases the UWSSs that touch resemble black eights.

==See also==
*[[Four eaters hassling lumps of muck]]
*[[Dinner table]]
*[[Honey thieves]]

==References==
<references />

==External links==
{{LinkLexicon|lex_r.htm#roteightor}}
{{LinkLexicon|filename=lex_m.htm#multipleroteightors|patternname=Multiple roteightors}}
{{LinkCatagolue|xp8_032acy1oge2zwggseb6z4701y1354c}}
{{LinkPentadecathlonObject|35P8.1}}

{{Symmetry|osc=turn90}}
__NOTOC__

[[Category:Agars]]