LifeWiki - User contributions [en]

User:0-engine Cordership

2024-12-11T14:58:58Z

CurrentNews: ----

{{EmbedViewer|rle=x = 171, y = 171, rule = B3/S23
28bo$20bo7bo$20b3o5bo$22bobo3b2o$20bo2bo$20b2o2bo$8b2o$8b2o7$2o$2o$14b 2o3b2o$13bobo3b4o3bo$13bo3bo2bo2b2obo$13b2o3bo4b2obo$18bo3bo$17bo3$27b o6b3o$27bob2o3b2o$27bobo5b2o$27bob3o$27b2o14$28bo$29b2ob2o12bo$29b2obo 12bobo$31bo12bo3bo$44bo3bo$42b3obobo$41bo2bob2o$41bobo$42b2o8$24b2o$ 20bo$22bo$20bobo$65b2o6bo$64bo3bo3bobo$35b3o26b2o3bobo3bo$34bo4bo8bo 15b2obobo2bobo$38b2o8b4o13b2o2bo3bo$34bo3bo25bo4bo$34bo30bo2bo$34bobo 29bo$34bo11bobo$32bo3b2o9bo$36b2o10b2o$35bobo8bo2bo$30bo5bo9b2ob2o2$ 30b2ob2o$32b3o24bo$57bo2bo7b3o$56bo3bo5b2obobo$56bo3bo5b2obobo$56bo3b 2o5bo3bo$57bo2bo7bobo$69bo4$65bo$64bobo$64bobo$65bo5$57bo48bo$56bobo 46bobo$56bobo45bo3bo$57bo47bobo$89b3o14bo$88bo3bo$87bo2b3o10b4o$88bo3b o9bo4bo$49bo39b3o13bo$48bobo30b2o7b2o9bo2bo3bo$48bobo29bo2bo18bob3obo$ 49bo31b2o20bob3o3$89bo$88b5o$93bo$73b2o$40bo31bo2bo12bo3bo$40bo32b2o 14b3o2$38b3o$40bo$21bo3b2o10bob2o$21b2o13b2o66bo$37b2o26b2o29bo7bo$37b ob2o23bo2bo28b3o5bo$24bo12b5o23b2o31bobo3b2o17b3o$23bobo10bobo2b2o53bo 2bo22bo3bo$23bo12b2o3b3o52b2o2bo21b2o3bo$24bo2bo13b2o83bo$13b2o9bo3bo 11b2o80b4o$13b2o9b2obo12bo5bo73b2obo$24bo20b3o72bo2bo$24b3o17b5o72b2o$ 14b2o27b2o3b2o2b3ob2o$14b2o32b2o2bobo49b2o$47b2obo3bo48b2o$46bob5o44b 3o6bo$46b2o3bo44bob2obo4bo37bobo$97bo8bo37b3o$93b2o5b4obo39b2o$93b2o 32bo$93bo5bo26b2o$94bo30bo17bo$94bobo29b2o15bobo$126b2o15b3o21bo$44bo 83bo13bo24b4o$43bobo96b5o$41bo10bo98b3o$41bobo3bo4bo59bo$41b5o2bo63bo 38b2o12bobo$46b2o103b2o13bo$51bo57b2o39bo2bo13b2o$51b2o100bo11bo2bo$ 109bobo40b3o10b2ob2o$153b2o$150b2o$149bo2bo2$39b2o112b2o$39b2o2b2o106b o2bo$43b2o106b3o4$163b2o$163b2o7$155b2o$155b2o!|caption=0-[[engine]] [[Cordership]] partial}}
===OCA===

[[HoneyBomb Life]]

[[User:0-engine_Cordership/OCA:Hash|Hash]]

[[User:0-engine_Cordership/OCA:B2in3-q4w/S23|B2in3-q4w/S23]]

[[User:0-engine_Cordership/OCA:B-Univ|B-Univ]]

<ref group="note" name="note1"/>

===Patterns===
[[User:0-engine_Cordership/B-turner|B-turner]]

<ref group="note" name="note1"/>

===Others===
[[User:0-engine Cordership/Sandbox|Sandbox]]

===Notes===
<references group="note"><ref name="note1">You can edit any of these pages.</ref></references>

User:0-engine Cordership

2024-12-11T14:56:01Z

CurrentNews:

===OCA===

[[HoneyBomb Life]]

[[User:0-engine_Cordership/OCA:Hash|Hash]]

[[User:0-engine_Cordership/OCA:B2in3-q4w/S23|B2in3-q4w/S23]]

[[User:0-engine_Cordership/OCA:B-Univ|B-Univ]]

<ref group="note" name="note1"/>

===Patterns===
[[User:0-engine_Cordership/B-turner|B-turner]]

<ref group="note" name="note1"/>

===Others===
[[User:0-engine Cordership/Sandbox|Sandbox]]

===Notes===
<references group="note"><ref name="note1">You can edit any of these pages.</ref></references>

Blinker fuse

2024-12-11T14:47:48Z

CurrentNews: /* 5c/7 orthogonal */ Give BokaBB a chance) (----

{{Fuse
|name = Blinker fuse
|pname = blinkerfuse
|p = 18
|s = 2c/3
|rulemin = B3/S23
|rulemax = B38/S2378
|isorulemin = B3-ky/S2-n3-c
|isorulemax = B2n34eknqwz5-eiqy6-i7c8/S234-ainqr5-ai6-n78
|synthesisRLE = true
|plaintext = true
|rle = true
|animated = true
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
}}{{ambox|text=Discussion thread about collections of fuses on LifeWiki:{{br}}https://conwaylife.com/forums/viewtopic.php?f=16&t=6262}}
A '''blinker fuse''' is any [[fuse]] that burns through a line of [[blinker]]s. Alternatively, it may refer to the [[2c/3]] period 18 fuse that burns [[clean]]ly through [[blinker]]s that are spaced four [[cell]]s apart, shown to the right. This particular fuse can be combined with [[blinker puffer 1]] to create various interesting patterns, such as [[moving sawtooth]], [[slow puffer 1]], and [[slow puffer 2]].

[[House]] alone, attached to a blinker wick with spacing 4, is a predecessor to the fuse shown in the infobox (also known as a "house fuse").

== Other blinker fuses ==

This list does not include trivial fuses where a spaceship [[Fly-by deletion|deletes]] or modifies stationary objects, or engineered fuses consisting of parts that can be trivially rearranged to get different speeds. Fuses where a spaceship deletes objects are known for [[c/6 orthogonal]], [[c/4 diagonal]] and [[c/10 orthogonal]].

=== Orthogonal ===

==== 4c/5 orthogonal ====
The 4c/5 fuse burns through alternating blinkers with the same spacing as the 2c/3 fuses. It was reported by [[Hugh Thompson]] in {{year|1971}}.<ref>{{CiteLifeline|vol=4|pages=page 7}}</ref>

{{EmbedViewer
|pname = blinkerfuse4c5
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The 4c/5 blinker fuse
|style = width:300px;
}}

====5c/7 orthogonal====
The 5c/7 "pi" fuse burns through alternating blinkers with the spacing one cell further apart than the 2c/3 fuses. It was probably first found on August 9th, 2016 in [[HighLife]], where it burns cleanly. It was later independently re-discovered by [[BokaBB]] in Conway's Game of Life, where it produces [[pulsar]]s.

==== 2c/3 orthogonal ====
There are two other well-known 2c/3 blinker fuses that act on blinkers that are orthogonally offset by four cells, both of which are shown below. They both burn cleanly and have period 6.<ref>{{CiteSummersPattern|name=jslife|accessdate=May 27, 2009}}</ref>
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = blinkerfuse2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|caption = A longer house fuse with a shorter period of 6
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = blinkerfuse3
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|caption = A blinker fuse known as a "bomb fuse" for its shape
|style = width:300px;
}}}}
{{gallery bottom}}

==== 6c/13 orthogonal ====
The 6c/13 blinker fuse burns cleanly through blinkers that are orthogonally offset by six cells and has period 26.<ref name="hensel" /> It is most well-known for the role that it plays in [[blinker ship 1]], where the fact that it burns at a rate slower than c/2 is taken advantage of to create a [[growing spaceship]].

In January {{year|2021}}, [[INoMed]] constructed an adjustable high-period [[3c/7 orthogonal]] [[puffer]] that repeatedly ignites this fuse.<ref name="post119547" />

{{EmbedViewer
|pname = blinkerfuse6c13
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|caption = The 6c/13 blinker fuse
|style = width:300px;
}}

==== 8c/15 orthogonal ====
An 8c/15 orthogonal blinker fuse exists which burns through a row of alternating blinkers as follows:

{{EmbedViewer
|pname = blinkerfuse8c15
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 4 ]]
|position = center
|caption = The 8c/15 blinker fuse
|style = width:300px;
}}

==== 8c/21 orthogonal ====
Another blinker fuse which runs on the traffic light, similarly to the 6c/13 fuse.

{{EmbedViewer
|pname = blinkerfuse8c21
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The 8c/21 blinker fuse
|style = width:300px;
}}

=== Diagonal ===
There is a diagonal blinker fuse involving a [[B-heptomino]] reacting with a line of blinkers.

{{EmbedViewer
|pname = blinkerfusediagonal1
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 4 ]]
|position = center
|caption = The diagonal blinker fuse
|style = width:300px;
}}

A [[wing]] can engage in a similar reaction, forming a glide-reflective 2c/44 diagonal blinker fuse.<ref>{{LinkForumThread | format = ref | title = Re: Thread for your unsure discoveries | p = 128649 | author = Lucy D'Agostino | date = April 21, 2021 }}</ref>

{{EmbedViewer
|pname = blinkerfusediagonal2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|caption = The diagonal 2c/44 blinker fuse
|style = width:300px;
}}

== See also ==
* [[Hacksaw]]
* [[Sawtooth 1163]]
* [[Block fuse]]

== References ==
<references>
<ref name="hensel">[[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ lifep.zip pattern collection].</ref>
<ref name="post119547">{{LinkForumThread
|format = ref
|p = 119547
|title = Re: Spaceship Discussion Thread
|author = iNoMed
|date = January 19, 2021
}}</ref>
</references>

== External links ==
* {{LinkLexicon|lex_b.htm#blinkerfuse}}
* [http://echochamber.me/viewtopic.php?f=17&t=39017 A pattern in the Game of Life] - Forum thread at xkcd.com

{{Symmetry|orthogonal2}}

User:Tropylium/Vessel

2024-11-10T13:57:35Z

CurrentNews:

{{merge|Grammar|Page was previously mainspace, and was moved here to avoid deletion. This page details still life construction and as such the information here could be applied there.}}
__NOTOC__
'''Vessels''' are a diagonally [[Long|extensible]] family of [[strict still life]]s. All vessels have a diagonal width of no more than 3 [[lane]]s. The basic structure is a series of diagonally connected pairs of cells.

The basic vessel is the four-cell [[tub]], with two cell pairs. This can be lengthened to produce the [[barge]] (three pairs), [[long barge]] (four pairs), etc.

Adding a single additional cell at one end of a vessel produces the [[boat]] subfamily; adding cells at both ends produces the [[ship]] subfamily.

Boats and ships can be joined as single-point [[tie]]s with each other or with other still lifes featuring a [[pre-block]] protrusion. Tubs/barges and boats can also be joined with each other as two-point ties, but this will only produce a longer vessel.

The [[block]] can be considered a degenerate ship of length 1, aside from the fact that it cannot be used in ties.

While vessels resemble a wider version of single-fuse [[User:Tropylium/String|string]]s, crucial differences result from the fact that the cells in the diagonal body already have three neighbors. No components can be attached to the body of a vessel, and although ships/boats can be joined as ties, they cannot be [[siamese|siamized]] in the same way other still lifes with preblock endings can. Sometimes a fuse body can be siamized lengthways with a vessel body though: e.g. a [[loaf]] can be siamized with a barge to result in [[loaf siamese barge]], and a long barge can be siamized with [[cis-fuse with two tails]] to yield a barge with two tails. Larger examples will become increasibly non-intuitive.

===Tub series===
<gallery>
Image:tub.png|a simple tub
Image:barge.png|but now it's a barge
Image:longbarge.png|and a barge for ever after
</gallery>

===Boat series===
<gallery>
Image:boat.png|row row row your boat
Image:longboat.png|gently down the stream
Image:verylongboat.png|merrily merrily merrily merrily life is but a dream
</gallery>

===Ship series===
<gallery>
Image:ship.png|a simple ship
Image:longship.png|but this one's grown a bit
Image:verylongship.png|very long ship
</gallery>

{{Vessel}}

Figure eight on centinal

2024-11-10T13:55:56Z

CurrentNews: ----) (Spelling of name in tag

{{merge|Centinal|not sure how this is notable, aside from historically; this information could easily fit as a note on either article}}{{Oscillator
|name = Figure eight on centinal
|pname = figureeightoncentinal
|c = 82
|bx = 52
|by = 27
|p = 200
|m = 200
|h = 68.52
|v = 0.96
|sv = 0.01
|symmetry = n
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B36c/S234ce5ek6n7e
|synthesis = 21
|plaintext = true
|rle = true
|apgcode = xp200_178cyao8gy0ccy0g8oyac871zye1m31y5322z0g8oyae972xooy079dyao8gz23yiggyk32zygoq1851
|viewerconfig = #C [[ GPS 20 ZOOM 8 ]]
}}
'''Figure eight on centinal''' is a {{period|200}} [[oscillator]] that is composed of a [[figure eight]] and [[centinal]]. Although it is composed of two oscillators of smaller periods ({{period|8|text=p8}} and {{period|100|text=p100}} respectively), it is considered non-trivial because it contains a single [[cell]] that is alive in [[generation]] 135 and dead in the other 199 [[phase]]s of the oscillator. In terms of its {{cells|82}} cells, it was the smallest known non-trivial period 200 oscillator before the discovery of [[figure eight on 30P25]].

== External links ==
* {{LinkCatagolue|xp200_178cyao8gy0ccy0g8oyac871zye1m31y5322z0g8oyae972xooy079dyao8gz23yiggyk32zygoq1851}}

[[Category:Least-common-multiple oscillators]]

User:ColorfulGalaxy/Encyclopedia of numbers

2024-11-10T13:36:08Z

CurrentNews: /* 1 */ Added from OCA One per generation project

__NOTOC__
This article is made to celebrate the [[#50|<span style="color:green">50</span>]]<span>th</span> anniversary of [[LifeLine]]. It is inspired by [http://mathigon.org/almanac this] article, which did not mention imaginary numbers. [[CA]]-related entries are preferred.

{| border="0" class="toccolours"
|-
! {{MediaWiki:Toc}}
|-
| align="center" |
Choose a set: [[#C-R|C-R]] | [[#(-∞,0)|(-∞, 0)]] | [[#[0,4)|[0, 4)]] | [[#[4,10)|[4, 10)]] | [[#[10,32)|[10, 32)]] | [[#[32,100)|[32, 100)]] | [[#[100,317)|[100, 317)]] <br> [[#[317,1000)|[317, 1000)]] | [[#[1000,3163)|[1000, 3163)]] | [[#[3163,10000)|[3163, 10000)]] | [[#[10000,+∞)|[10000, +∞)]]__NOTOC__

[[#top|Top of page]] — [[#Legend|Legend]] — [[#See also|See also]] — [[#External links|External resources]]
|}

==Legend==

<div style="border:2px solid blue;">Positive prime numbers </div>
<div style="border:2px solid #ff00ff;">Number (excluding positive prime numbers) whose absolute value is an integer</div>
<div style="border:2px solid orange;">Number whose absolute value is a rational number that is not integer</div>
<div style="border:2px solid #00ffff;">Number whose absolute value is an algebraic irrational number</div>
<div style="border:2px solid green;">Number whose absolute value is a transcendental real number</div>
<div style="border:2px solid red;">Unknown/approximation</div>

==[0,4)==

===0===
<div style="border:2px solid #ff00ff;">
* ... is the smallest non-negative number.
<br>
* ... is the [[population]] of [[nothing|Vacuum]].
* ... is the final [[population]] of [[sparks]].
* ... is the lifespan of [[still life]]s / [[oscillator]]s / [[spaceship]]s when they're treated as methuselahs.
* ... is the largest whole number that can result from interpreting the [[Population signature]] of a non-[[stable]] [[oscillator]] as an arithmetic expression. More precisely, these oscillators are the constant-population {{period|2}} oscillators such as the [[blinker]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[pulsar]] in Life. ({{LinkCatagolue|code=xp0_vhv|style=raw}})
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, evolves into a [[pentadecathlon]] in Life.
* ... is the number of distinct [[Garden of Eden|Gardens of Eden]] among [[polyomino]]es with [[#5|<span style="color:green">5</span>]] or less [[cell]]s.
* ... is the number of sparks among [[polyomino]]es with [[#3|<span style="color:green">3</span>]] or [[#4|<span style="color:green">4</span>]] cells in Life.
* ... is the number of distinct [[induction coil]]s among [[polyomino]]es with [[#1|<span style="color:green">1</span>]], [[#2|<span style="color:green">2</span>]] and 5 cells.
* ... is the determinant of the "[[eater 2]]" (7*7) matrix, regardless of orientation. {{citation needed}}
<br>
'''See also''':
* [[:Category:Sparks|Patterns with a final population of]] '''0'''
</div>

===0.0287115===
<div style="border:2px solid red;">
* ... is the density of ash in a soup on a torus.
</div>

===0.1===
<div style="border:2px solid orange;">
* ... was the version number of Golly's first version.
</div>

===0.25===
<div style="border:2px solid orange;">
* ... is the volatility of the [[beacon]].
* ... as c/4, is the speed of several spaceships, including the [[glider]].
</div>

===0.25-0.3===
<div style="border:2px solid red;">
* ... is the approximate density of a spacedusty oscillator or spaceship.
</div>

===0.305597===
<div style="border:2px solid red;">
* ... is the [[temperature]] of ash in a soup on a torus.
</div>

===49/153 (0.3203)===
<div style="border:2px solid orange;">
* ... is density of the least dense known [[Garden of Eden]].
</div>

===1/3===
<div style="border:2px solid orange;">
* ... as c/3, is the maximum diagonal speed in any totalistic or INT rule containing at least one member of each of {B2c,B3i}, {B2e,B3a} and {S4w,S5a} and none of those of {B0,B1e,B1c,B2a}.
</div>

===3/8===
<div style="border:2px solid orange;">
* ... is the initial density chosen for [[Achim Flammenkamp's census]].
</div>

===4/9===
<div style="border:2px solid orange;">
* ... is the density of any stable 3×3 agar.
</div>

===1/2===
<div style="border:2px solid orange;">
* ... is the default soup density on Catagolue.
* ... is the maximum density of a still life agar on an infinite grid.
:* ... is conjectured to be the maximum average density of an oscillating agar on an infinite grid (which is known to be <tt>{{frac|1|2}} ≤ d ≤ {{frac|1176|2087}} ≈ 0.5634...</tt>)
* ... as c/2, is the maximum orthogonal speed of a spaceship in Life and any totalistic or INT rule not containing B0, B1e, B1c, or B2a.
* ... as c/2, is the speed of the [[LWSS]], [[MWSS]], and [[HWSS]].
</div>

===5/9===
<div style="border:2px solid orange;">
* ... is the speed of the signal that travels in [[5c/9 wire]].
</div>

===1176/2087 (≈0.563)===
<div style="border:2px solid orange;">
* ... is the current known upper bound of the maximum average density of an oscillating agar.
</div>

===8/13===
<div style="border:2px solid orange;">
* ... was the known upper bound of the maximum average density of an oscillating agar until 2024.
</div>

===23/36===
<div style="border:2px solid orange;">
* ... is the rulestring for [[OCA:HighLife|HighLife]] in S/B notation (before B/S notation became common), interpreted literally as division.
</div>

===2/3===
<div style="border:2px solid orange;">
* ... is the approximate proportion of blinkers that form from traffic lights.
* ... is the speed of many [[against the grain]] spaceships.
* ... is the speed of the signal that travels in [[2c/3 wire]].
* ... is the speed of some [[blinker fuse]]s.
* ... is an exponent of one possible growth rate (t<sup>2/3</sup>).
</div>

===4/5===
<div style="border:2px solid orange;">
* ... is the volatility of the [[blinker]], [[toad]], and [[clock]].
* ... is the fuse speed in the [[Fermat prime calculator]].
</div>

===0.91===
<div style="border:2px solid orange;">
* ... is one of only two Golly versions to not be a multiple of 0.1.
</div>

===0.95===
<div style="border:2px solid orange;">
* ... is one of only two Golly versions to not be a multiple of 0.1.
</div>

===95/98===
<div style="border:2px solid orange;">
* ... is the volatility of the period-7 oscillator with the highest known volatility.
</div>

===1===
<div style="border:2px solid #ff00ff;">
* ... is the smallest positive whole number.
<br>
* ... is the period of a still life.
* ... is the number of 5-cell [[strict still life]]s.
* ... is the number of [[#8|<span style="color:green">8</span>]]-[[cell]] [[pseudo still life]]s.
* ... is the number of diagonal spaceships that have appeared naturally.
* ... is the number of distinct [[dot|haplomino]]es.
* ... is the number of distinct [[domino]]es.
* ... is the number of [[inductee]]s among [[triomino]]es.
* ... is the "history [[envelope]] size growth per generation" of the [[glider]] in Life.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[traffic light]] in Life. ({{LinkCatagolue|code=xp0_v|style=raw}})
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, evolves into a [[boat]] in Life.
<br>
'''See also''':
* [[:Category:Still_lifes|Patterns with period]] '''1'''
* [[Photon|Spaceships with speed]] '''1'''[[speed of light|c]]
</div>

===1.097===
<div style="border:2px solid red;">
* ... is the average number of working [[eater 2]] catalyses (where fishhooks don't work) in a 12×12 soup according to a search.
</div>

===1.15===
<div style="border:2px solid orange;">
* ... is the boundary threshold of the "power" variable between "PATHOLOGICAL" (below) and "zz_REPLICATOR" (above) in apgsearch.
</div>

===1.292===
<div style="border:2px solid red;">
* ... is the average number of working [[snake]] catalyses in a 12×12 soup according to a search.
</div>

===√2 (1.414...)===
<div style="border:2px solid #00ffff;">
* ... is the literal speed ratio between e.g. c/4o and c/4d using Euclidean distance. Also the ratio between c/2o and c/4d using Euclidean distance.
</div>

===φ (1.618...)===
<div style="border:2px solid #00ffff;">
* ... is the ratio between number of possibilities for a one-thick pattern with N+1 cells and N cells, ignoring lines of 1 and 2 that die out immediately.
</div>

===1.65===
<div style="border:2px solid orange;">
* ... is the boundary threshold of the "power" variable between "zz_REPLICATOR" (below) and "zz_LINEAR" (above) in apgsearch.
</div>

===2===
<div style="border:2px solid blue;">
* ... is the smallest positive prime number.
<br>
* ... is the minimum number of rotor cells in an [[oscillator]] in Life.
* ... is the minimum number of cells in an oscillator in a non-strobing [[Life-like]] rule.
* ... is the number of [[triomino]]es.
* ... is the number of [[#4|<span style="color:green">4</span>]]-cell [[strict still life]]s.
* ... is the period of the [[blinker]], [[toad]], and [[spark coil]].
* ... is the period of the lowest-period spaceship.
* ... neighboring cells allows them to survive, but not be born.
* ... is the minimum number of gliders needed for a collision.
* ... is the [[mod]] of all four common spaceships.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[quasi still life]] in Life. ({{LinkCatagolue|code=xp0_tln|style=raw}})
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, evolves into a [[loaf]] in Life.
* ... is [[Nathaniel Johnston]]'s forum user ID.
<br>
'''See also''':
* [[:Category:Patterns with 2 cells|Patterns with population]] '''2'''
* [[:category:oscillators with period 2|Oscillators with period]] '''2'''
* [[:category:spaceships with period 2|Spaceships with period]] '''2'''
</div>

===2.1===
<div style="border:2px solid orange;">
* ... is the first Golly version to be released after the opening of the forums in late 2008.
* ... is the boundary threshold of the "power" variable between "zz_LINEAR" (below) and "zz_EXPLOSIVE" (above) in apgsearch.
</div>

===≈2.214===
<div style="border:2px solid red;">
* ... is the ratio of working [[fishhook]] catalyses to working [[block]] catalyses in a 12×12 soup according to a search.
</div>

===≈2.46===
<div style="border:2px solid red;">
* ... is the ratio between strict still lifes with N+1 cells and N cells.
</div>

===≈2.56===
<div style="border:2px solid red;">
* ... is the ratio between pseudo still lifes with N+1 cells and N cells.
</div>

===2.7===
<div style="border:2px solid orange;">
* ... was the last Python 2 version.
</div>

===2.75===
<div style="border:2px solid orange;">
* ... is the average glider cost of the four 7-cell still lifes.
</div>

===≈2.77===
<div style="border:2px solid red;">
* ... is the ratio of block-laying switch engines to glider-producing switch engines in natural soups.
</div>

===2.8===
<div style="border:2px solid orange;">
* ... was the last Golly 2 version.
</div>

===2.9===
<div style="border:2px solid orange;">
* ... is the boundary threshold of the "power" variable between "zz_EXPLOSIVE" (below) and "zz_QUADRATIC" (above) in apgsearch.
</div>

===3===
<div style="border:2px solid blue;">
* ... is the smallest positive odd prime number.
<br>
* ... neighboring cells allows them to survive and be born in Life.
* ... is the period of the [[pulsar]], [[jam]], and [[caterer]].
* ... is the population of the smallest [[oscillator]] in Life.
* ... is the population of the smallest spaceship in a non-[[strobing]] [[isotropic non-totalistic Life-like cellular automaton|INT rule]].
* ... is the population of the smallest [[induction coil]] in Life.
* ... is the number of [[induction coil]]s among [[tetromino]]es.
* ... is the population of the smallest known Garden of Eden in [[Life without death]].
* ... is the number of [[beehive]] [[predecessor]]s among the tetrominoes in Life.
* ... is the minimum number of cells that doesn't result in death at the end per [[pre-block]] and blinker.
* ... is the minimum number of gliders for infinite growth in Life.
* ... is the largest positive integer ''n'' such that there exists no ''n''-cell stable pattern that can be cleanly [[Glider destruction|destructed]] by one glider in Life.

{{EmbedViewer|rle=#
x = 79, y = 113, rule = B3/S23
2o9bo10b2o11bo12b2o12b2o$2o8bobo8bobo10bobo10bo2bo10bobo$10b2o9b2o10b
obo11bo2bo10bo$33b2o13b2o9bobo$4b3o52b2o$4bo21b3o$5bo9b3o8bo12b3o23b3o
$15bo11bo11bo11b3o11bo$16bo23bo10bo14bo$52bo13$4bo17b2o15b2o16b2ob2o$
3bobo15bobo14bo2bo15bo3bo$2bobo16b2o14bob2obo15b3o$bobo15b2o17bo2bo18b
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$7bo68bo$8bo68bo10$2obo$ob2o$4b2o$4bo$5bo$6bo$7bo$6b2o3$10b3o$10bo$11b
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$4b2o$4bo$5bo$6bo$7bo$8bo$9bo$8b2o3$12b3o$12bo$13bo6$2obo$ob2o$4b2o$4b
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|position=center
|caption='''3''' is the largest positive integer ''n'' such that there exists no ''n''-cell stable pattern that<br/> can be cleanly [[Glider destruction|destructed]] by one glider in Life.}}

<br>
'''See also''':
* [[:category:patterns with 3 cells|Patterns with population]] '''3'''
* [[:category:oscillators with period 3|Oscillators with period]] '''3'''
* [[:Category:Spaceships with period 3|Spaceships with period]] '''3'''
</div>

===≈3.04===
<div style="border:2px solid red;">
* ... is the ratio between quasi still lifes with N+1 cells and N cells.
</div>

===≈3.194===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[toad]]s to p2 oscillators rarer than it in [[Catagolue]]'s C1 census.
</div>

===≈3.198===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[toad]]s to [[beacon]]s in [[Catagolue]]'s C1 census.
</div>

===3.2===
<div style="border:2px solid orange;">
* ... is the average glider cost of the five 6-cell still lifes.
</div>

===≈3.237===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[block]] in a Catagolue soup.
</div>

===3.4===
<div style="border:2px solid orange;">
* ... was the last Golly 3 version.
</div>

===≈3.486===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[blinker]] in a Catagolue soup.
</div>

===32/9 (3.5̅)===
<div style="border:2px solid orange;">
* ... is the average glider cost of the nine 8-cell still lifes.
</div>

===≈3.796===
<div style="border:2px solid red;">
* ... is the approximate [[LWSS]]:[[MWSS]] ratio in [[Catagolue]]'s C1 census.
</div>

==[4,10)==

===4===
<div style="border:2px solid #ff00ff;">
* ... is the smallest positive composite number.
<br>
* ... is the minimum number of cells that can form a [[pond]] or [[traffic light]].
* ... is the population of the smallest [[still life]] in Life.
* ... is the population of the smallest asymmetric [[polyomino]] ([[Tail]]).
* ... is the population of the [[block]], which is:
** the smallest [[polyomino]] with D8_4 [[symmetry]].
** the smallest [[still life]] in Life with D8_4 symmetry.
** the smallest pattern that stays [[stable]] in Life but not in B2a3/S23.
** the smallest pattern that stays [[stable]] in Life but not in B3/S23-a.
* ... is the population of the [[tub]], which is:
** the smallest [[still life]] in Life with D8_1 symmetry.
** the smallest pattern that stays [[stable]] in Life but not in B1e3/S23.
** the smallest pattern that stays [[stable]] in Life but not in B2e3/S23.
** the smallest pattern that stays [[stable]] in Life but not in B3/S2-c3.
** the smallest pattern that stays [[stable]] in Life but not in B34e/S23.
* ... is the number of [[standard spaceship]]s.
* ... is the perimeter of the [[dot]].
* ... is the period of all four standard spaceships.
* ... is the period of [[mold]] and [[mazing]].
* ... is the [[heat]] of the [[glider]].
* ... is the number of [[#7|<span style="color:green">7</span>]]-cell [[strict still life]]s.
* ... is the number of objects in a [[traffic light]], [[blockade]], and [[honey farm]].
* ... is the recovery time of the [[fishhook]] eating a glider.
* ... is the largest possible quotient between an oscillator's period and mod.
* ... has more than one oscillator with this period tied for smallest.
* ... is the [[outer-totalistic]] [[rule integer]] of the rule [[OCA:Seeds]].
</div>

===≈4.802===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[jam]]s to p3 oscillators rarer than it in [[Catagolue]]'s C1 census.
</div>

===5===
<div style="border:2px solid blue;">
* ... is the number of [[#6|<span style="color:green">6</span>]]-cell [[strict still life]]s.
* ... is the [[population]] of the smallest [[still life]] in [[Star Wars]] (345/2/4).
* ... is the number of [[spark]]s among [[pentomino]]es in Life.
* ... is the lifespan of the longest-lasting [[spark]] among [[pentomino]]es in Life.
* ... is the minimum number of cells that allows significant growth ([[R-pentomino]] and [[pi-heptomino]] grandparent).
* ... is the population of the [[boat]], which is:
** the only 5-cell still life in Life.
** the smallest [[still life]] in Life with D2_x [[symmetry]].
** the smallest pattern that stays [[stable]] in Life but not in B3/S2-e3.
** the smallest pattern that stays [[stable]] in Life but not in B3/S23-n.
** the smallest pattern that stays [[stable]] in Life but not in B35c/S23.
* ... is the number of distinct [[triplet]]s.
* ... is the number of tetrominoes where both reflection and rotation are considered the same object.
* ... is the number of generations between the longest-lasting 6-cell object and the R-pentomino that it becomes.
* ... is the period of [[octagon 2]] and [[fumarole]].
* ... is the number of objects in the ash of [[Octomino II]].
* ... is the minimum height of a period-[[#3|<span style="color:green">3</span>]] spaceship in Life.
* ... is the lifespan of the "[[isomer|cis-]][[glider]]-[[tie]]" in Life.
* ... neighboring cells allowing birth is the difference between Life and {{rl|Grounded Life}}.
* ... is the only numerical digit that can not begin (after the underscore) an [[apgcode]] of a [[stable]] pattern (including [[constellation]]s) in [[Just Friends]].

{{EmbedViewer|position=center|caption='''5''' is the only numerical digit that can not begin (after the underscore) an [[apgcode]]<br/>of a [[stable]] pattern (including [[constellation]]s) in [[Just Friends]].|rle=x = 71, y = 17, rule = B2-a/S12History
3D10.D6.3D5.3D2.D.D4.3D2.3D5.3D2.3D7.3D$D.D10.D8.D7.D2.D.D4.D4.D9.D2.
D.D7.D.D$D.D10.D6.3D5.3D2.3D4.3D2.3D7.D2.3D7.3D$D.D10.D6.D9.D4.D6.D2.
D.D7.D2.D.D9.D$3D10.D6.3D5.3D4.D4.3D2.3D7.D2.3D7.3D2$5.A7.5A6.A3.A5.3A
4.EB5.2A3.A8.A5.2A$5.A14.2A2.A3.A11.D2B2.A7.A8.A$33.5A3.EB2.A7.A$41.2B
7.A7.2A8.2A$14.3A4.A2.2A8.3A4.2B7.A13.2A$2A7.2A10.A24.2A$61.A$61.A2$5.
A$5.A!}}
</div>

===5.548===
<div style="border:2px solid red;">
* ... is the average number of working [[fishhook]] catalyses in a 12×12 soup according to a search.
</div>

===≈5.754===
<div style="border:2px solid red;">
* ... is the approximate [[MWSS]]:[[HWSS]] ratio in [[Catagolue]]'s C1 census.
</div>

===6===
<div style="border:2px solid #ff00ff;">
* ... is the smallest positive composite squarefree number.
<br>
* ... is the number of cells in the [[toad]].
* ... cells does not last much more than the longest [[#5|<span style="color:green">5</span>]]-cell object (1108 generations versus 1103).
* ... is the number of cells in both phases of the [[toad]] and one phase of the [[beacon]].
* ... is the period of [[unix]].
* ... is the number of distinct [[#8|<span style="color:green">8</span>]]-cell [[quasi still life]]s.
* ... is the smallest trivial oscillator period.
* ... neighboring cells allowing birth is the difference between [[Life]] and [[HighLife]].
* ... is the minimum number of cells for any predecessor of [[lumps of muck]], [[teardrop]],[[butterfly]], [[honey farm]], [[I-heptomino]], [[E-heptomino]], [[F-heptomino]], [[blonk-tie]], and [[U-turner]].
* ... cells in a row produces a 12-generation spark.
* ... is the number of blinkers in an [[interchange]].
* ... is the number of [[octomino]]es with holes.
* ... is the population of the smallest [[still life]] in Life with no axes of symmetry.
* ... is the population of the smallest [[still life]] in Life with D4_x1 symmetry ([[ship]]).
* ... is the population of the smallest [[still life]] in Life with D4_x4 symmetry ([[barge]]).
* ... is the population of the smallest [[still life]] in Life with D4_+2 symmetry ([[beehive]]).
* ... is the population of the smallest [[still life]] in Life with C2_2 symmetry ([[aircraft carrier]]).
* ... is the population of the smallest [[still life]] in Life with C2_4 symmetry ([[snake]]).
* ... is the population of the smallest known [[Gn|G0]] [[glider pair]] [[eater]] (the [[snake]] using the [[boat-bit]] reaction, which is smaller than the smallest glider eater).
* ... is the population of the smallest pattern that stays [[stable]] in Life but dies in [[HighLife]].
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B3/S2-k3 ([[beehive]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B35y/S23 ([[beehive]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B36n/S23 ([[ship]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B3/S23-c ([[barge]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B2k3/S23 ([[aircraft carrier]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B34q/S23 ([[aircraft carrier]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B3/S2-a3 ([[aircraft carrier]] and [[snake]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B2c3/S23 ([[snake]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B34r/S23 ([[snake]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but does not tessellate the plane. ([[ship]])
* ... is the number of isotropic transitions possible for 2 or 6 neighbors (a, c, e, i, n, k).
* ... is the smallest known number of gliders to synthesize quadratic growth in Life (see [[glider synthesis]] page).
* ... is the lifespan of the "[[isomer|trans-]][[glider]]-[[tie]]" in Life.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, evolves into a [[spark]] in Life.
{{EmbedViewer|rle=x = 60, y = 6, rule = LifeHistory
2o7b2o10bo3bo7bo10bo10bo$2o7b2o9boboDobo5boboDbo5bobo8bobo$2bD8bDbo7b
o3bo7bobDobo5bobDbo6bobD$3b2o7bobo22bo9bobo6bDbo$3b2o8bo34bo8bobo$58b
o!|position=center|caption=The '''six''' distinct [[#8|<span style="color:green">8</span>]]-[[cell]] [[quasi still life]]s.</br>}}
</div>

===≈6.109===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[beehive]] in a Catagolue soup.
</div>

===≈6.3===
<div style="border:2px solid red;">
* ... is the adjustment needed to frequency class when using the G1 census rather than C1.
</div>

===7===
<div style="border:2px solid blue;">
* ... is the highest-period searched-for pipsquirter known.
* ... has more than one known oscillator with this period tied for smallest: [[burloaferimeter]], [[28P7.1]], [[28P7.2]] and [[28P7.3]].
* ... is the period of the [[loafer]].
* ... is the number of [[#10|<span style="color:green">10</span>]]-cell [[pseudo still life]]s.
* ... is the number of currently known distinct [[#5|<span style="color:green">5</span>]]-cell [[glider]] [[predecessor]]s (including the [[#2|<span style="color:green">two</span>]] distinct [[phase]]s of the glider).
* ... is the population of the smallest [[still life]] in Life with C2_1 symmetry ([[long snake]]).
* ... is the population of the smallest [[still life]] in Life with C1 symmetry ([[fishhook]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B3/S2-n3 ([[loaf]] and [[long snake]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B34j/S23 ([[loaf]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B35k/S23 ([[loaf]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B3/S23-r ([[fishhook]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B34a/S23 ([[fishhook]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B34n/S23 ([[fishhook]]).
* ... is the population of the smallest pattern that stays [[stable]] in Life but not in B35q/S23 ([[fishhook]]).
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[half-blockade]] in Life. ({{LinkCatagolue|code=xp0_11v|style=raw}})
* ... is the [[population]] of the smallest [[pure glider generator]] among [[polyomino]]es in Life.
* ... is the population of the smallest (in terms of bounding box) counterexample to the [[Coolout Conjecture]] in Life.
* ... is the smallest oscillator period (in Life) not to have appeared in C1, although it has appeared in G1.
* ... is in the apgcode of the [[blinker]] (xp2_7).
* ... is the only numerical digit that can not begin (after the underscore) an [[apgcode]] of a [[still life]] in Life.
* ... neighboring cells allowing birth is the difference between [[Life]] and [[DryLife]].
* ... is the number of unknown fate heptominoes in [[Lifeline Volume 1]].
* ... is the number of generations in many 2-cell [[traffic light]] push reactions.

{{EmbedViewer|position=center|caption='''7''' is the only numerical digit that can not begin (after the underscore)<br/>an [[apgcode]] of a [[still life]] in Life.|rle=x = 83, y = 19, rule = LifeHistory
3D10.D5.3D2.3D2.D.D5.3D10.3D3.3D2.3D12.3D$D.D10.D7.D4.D2.D.D5.D12.D7.
D2.D.D12.D.D$D.D10.D5.3D2.3D2.3D5.3D10.3D5.D2.3D12.3D$D.D10.D5.D6.D4.
D7.D10.D.D5.D2.D.D14.D$3D10.D5.3D2.3D4.D5.3D10.3D5.D2.3D12.3D2$5.A7.2A
5.A3.2A5.2A4.2A4.2A6.2A4.EB5.A2.A2.A5.2A.A2.A$4.A.A7.A4.A.A2.2A4.A2.A
4.A3.A.3A3.A2.A2.DEB5.7A6.A.4A$3.A.A.A6.A.A3.A8.A.2A.A2.A4.A4.A2.A2.A
3.EB18.A$2.A2.A2.A6.2A13.A2.A4.3A.A3.A4.2A4.2B2.2A3.3A3.2A2.2A3.2A$.A
3.A3.A21.2A7.2A4.2A9.2B3.A2.A3.A2.A8.A$A.3A.3A.A51.A.A.3A.A.A3.4A.A$.
A3.A3.A51.2A.A5.A.2A2.A2.A.2A$2.A2.A2.A53.A.A.3A.A.A$3.A.A.A54.A2.A3.
A2.A$4.A.A54.2A3.3A3.2A$5.A$64.7A$64.A2.A2.A!}}
</div>

===23/3===
<div style="border:2px solid orange;">
* ... is the rulestring for Life in S/B notation (before B/S notation became common), interpreted literally as division.
</div>

===8===
<div style="border:2px solid #ff00ff;">
* ... is the smallest positive composite cubic number.
<br>
* ... is the period of [[figure eight]] and [[blocker]].
* ... is the highest symmetry order on a square grid.
* ... is the number of objects in the ash of a line of 8 cells.
* ... is the maximum number of neighbors a cell can have.
* ... is the minimum population of any predecessor of an [[LWSS]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B2i3/S23 ([[orthogonal]] [[tub]]-[[pattern naming|on]]-tub: a [[quasi still life]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B2n3/S23 (xs8_330oo: a quasi still life).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34i/S23 ([[bi-block]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34w/S23 ([[pond]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34k/S23 ([[mango]] and [[shillelagh]]).
* ... is the population of the smallest [[strict still life]] that can not be [[Glider destruction|destructed]] cleanly by one glider.
* ... is the output duration of a [[pi]]-to-pi [[conduit]] ([[PT8P]]).
* ... is the minimum number of cells that allows arbitrarily long settling time, by making a glider hit a faraway blinker.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[spark]] in Life. ({{LinkCatagolue|code=xp0_vlv|style=raw}})
* ... is the lifespan of the "[[isomer|trans-]][[blinker]]-[[tie]]" in Life.
* ... is the lowest positive integer n for which an elementary c/n spaceship is possible but not known.
* ... used to be the number of hours between [[Catagolue]] updates.
* ... is the smallest n for which (a,b)c/n is not known for all possible a and b in INT rules.
</div>

===9===
<div style="border:2px solid #ff00ff;">
* ... is the largest single-digit number.
<br>
* ... is the period of [[snacker]] and [[worker bee]].
* ... is the smallest period oscillator that hasn't appeared in an asymmetric soup.
* ... is the number of [[#8|<span style="color:green">8</span>]]-cell [[strict still life]]s.
* ... is the number of distinct known 3-cell [[Garden of Eden]] patterns in Life without death.
* ... is the minimum population of an [[LWSS]].
* ... is the highest-period usable intentional domino sparker produced with a search program looking for a specific period ([[104P9]]).
* ... is the number of generations it takes for xp0_136c to gain its diagonal [[gutter]].
* ... is the population of [[rabbits]].
* ... is the population of the smallest pattern that is a [[strict still life]] in Life but neither a [[still life]] nor a [[spark]] in [[HighLife]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B3/S2-i3 ([[Integral sign]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B36i/S23 ([[hat]]).
* ... is the lifespan of the "[[isomer|trans-]][[tail]]-[[tie]]" (fleet predecessor) in Life.
</div>

==[10,32)==

===10===
<div style="border:2px solid #ff00ff;">
* ... is the smallest 2-digit number.
<br>
* ... is the period of [[55P10]] and [[p10 domino fountain]], useful sparkers.
* ... is the period of the [[copperhead]] spaceship.
* ... generations of the [[R-pentomino]] sequence results in a polyomino with [[#11|<span style="color:green">11</span>]] cells.
* ... is the lifespan of the longest-lived [[heptomino]] [[diehard]] in Life. There are [[#2|<span style="color:green">two</span>]] heptominoes like this, and their [[apgcode]]s are anagrams of each other.{{citation needed}}
* ... is the minimum population required for infinite growth.
* ... is the number of [[#9|<span style="color:green">9</span>]]-cell [[strict still life]]s.
* ... cells in a row forms a [[pentadecathlon]].
* ... is the length and height of the hollow square that evolves into [[Lake 2]].
* ... is the population of the smallest known [[pure glider generator]] whose initial configuration consists of isolated [[dot]]s.
* ... is the number of isotropic transitions possible for 3 or 5 neighbors (a,c,e,i,j,n,k,q,r,y).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B3/S23-k ([[boat-tie]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B35r/S23 ([[block on table]] and [[loop]]).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B3/S23-j.{{citation needed}}
* ... is the number of entries per page that [[Catagolue]] gives you for period 10+ oscillators.
</div>

===≈10.29===
<div style="border:2px solid red;">
* ... is the average number of objects per D2_x Catagolue soup.
</div>

===11===
<div style="border:2px solid blue;">
* ... is the smallest 2-digit palindrome.
<br>
* ... is the period of [[rattlesnake]], a useful dot sparker.
* ... is the period of the highest-period domino sparker with a JLS/WLS/LLS search program, although it has extremely low clearance.
* ... is the [[heat]] of the [[LWSS]].
* ... is the number of cells in the polyomino that results by advancing the [[R-pentomino]] 10 generations.
* ... is the number of generations in several [[pre-pulsar shuttle]] 3-cell push reactions.
* ... is the number of generations it takes for xp0_15d0s to gain its diagonal [[gutter]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B35a/S23 ([[elevener]], which is named after its population).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B3/S23-q ([[feather]]-related patterns).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34y/S23 ([[feather]]-related patterns).
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B35n/S23 ([[eater with cape]]).
* ... is the length and width of the torus allowing the [[two-glider octomino]] to oscillate on.
* ... is the number of [[Lifeline]] volumes.
</div>

===≈11.38===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[glider]] in a C1 Catagolue soup. Note that this is highly dependent on soup size.
</div>

===12===
<div style="border:2px solid #ff00ff;">
* ... is the population of the smallest period-3, 4, 8, and 15 oscillators: [[caterer]], [[mold]], [[mazing]], [[figure eight]], and [[pentadecathlon]].
* ... is the lifespan of the [[line of six]] cells before completely dying.
* ... is the number of pentominoes.
* ... is the number of gliders emitted from a [[gliders by the dozen]] reaction.
* ... is the population where the number of period-2 oscillators starts picking up.<ref>{{LinkNiemiec|objcount.htm|Life Object Counts|nobullet=no}}</ref>
* ... is the population of the [[ship-tie]], a decently common still life.
* ... is the population of the [[traffic light]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34c/S23 (xs12_rahr).{{citation needed}}
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B3/S23-y ([[honeycomb]]).{{citation needed}}
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B34t/S23 ([[carrier bridge table]]).{{citation needed}}
* ... is the period of [[baker's dozen]], [[crown]] and [[44P12.3]].
* ... is the period of the [[Schick engine]], which has appeared naturally.
* ... is the reciprocal of the speed of the [[switch engine]] and all Corderships.
* ... is the maximum number of cells you can have at a time in lifecompetes.
* ... is the number of chapters in [[Conway's Game of Life: Mathematics and Construction]].
</div>

===12.082===
<div style="border:2px solid red;">
* ... is the average number of working [[fishhook]] catalyses in a 12×12 soup according to a search.
</div>

===13===
<div style="border:2px solid blue;">
* ... is the period of [[53P13]], [[66P13]], [[Beluchenko's p13]], and [[Buckingham's p13]].
* ... is the number of isotropic transitions possible for 4 neighbors (a,c,e,i,j,n,k,q,r,t,w,y,z).
* ... is the number of [[engine]]s in the first known [[Cordership]].
* ... is the number of distinct [[#9|<span style="color:green">9</span>]]-cell [[quasi still life]]s.
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B35j/S23.{{citation needed}}
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B36k/S23.{{citation needed}}
* ... is in the username of user May13.
{{EmbedViewer|rle=x = 55, y = 40, rule = LifeHistory
5bF$5bF4bo$5bF3bobo$5bF3b2o$5bF$55F$5bF$5bF$5bF$5bF$b2o2bFb2o8b2o7b2o
7b2o$b2o2bFb2o8b2o7b2o7b2o$5bF3bD9bDbo6bDbo6bDb2o$5bF4b2o8bobo6bobo6b
obo$5bF4bobo8b2o6b2o8bo$5bF5bo$5bF$5bF$55F$5bF$5bF$5bF$5bF$2bo2bF2bo3b
2o4bo8bo9bo9bo$bobobFboboDobo3boboDb2o2boboDbo4bobo7bobo$2bo2bF2bo3bo
5bobDobo3bobDobo4bobDb2o4bobDbo$5bF16bo8b2o7bobo7bobo$5bF35bo9b2o$5bF
$5bF$5bF$5bF$5bF$5bF$5bF2bo9bo8bo9bo$5bFbobo7bobo6bobo7bobo$5bF2bobDb
o5bobD6bobD7bobD$5bF5bobo5bDb2o5bDbo9b2o$5bF5b2o7bobo6bobo8bobo$5bF15b
o8b2o9bo!|position=center|caption=The '''thirteen''' distinct [[#9|<span style="color:green">9</span>]]-cell [[quasi still life]]s.</br>}}
'''See also''':
* [[Pre-block]] (xp0_'''13''')
</div>

===14===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[tumbler]] and [[34P14 shuttle]].
* ... is the number of generations in several [[pre-pulsar shuttle]] 3-cell push reactions.
* ... is the number of [[spark]]s among [[hexomino]]es.
* ... is the convex hull perimeter of the [[hexomino]] with the largest convex hull perimeter.
* ... is the population of the smallest known [[polyomino]] to exhibit [[infinite growth]] in Life. {{citation needed}}
* ... is the population of the [[half-bakery]], a decently common still life.
* ... has a still life named after its population ([[fourteener]]).
* ... is the minimum possible period of a glider stream or glider gun, and the same with LWSSes.
<br>
'''See also''':
* MWSS spark (xp0_'''14''')
</div>

===43/3===
<div style="border:2px solid orange;">
* ... is the average population of [[caterer]], the smallest p3 by this measure.
</div>

===≈14.68===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[loaf|loaves]] to all other 7-bit still lifes in [[Catagolue]]'s C1 census.
</div>

===15===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[pentadecathlon]].
* ... is the number of gliders needed for universal construction.
* ... is the minimum known true-period [[gun]].
* ... is the mod of the [[queen bee shuttle]].
* ... is the number of generations needed for the [[pre-pulsar]] to replicate itself.
* ... is the number of generations the [[table]] lasts before completely dying.
* ... is the population of the smallest known [[trivial]] [[oscillator]] in Life ([[blinker]] on [[caterer]]).
* ... is the population of [[Beethoven]] and the ash of [[century]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B35e/S23.{{citation needed}}
* ... is the [[heat]] of the [[MWSS]].
* ... is the minimum period that the bi-block hassler works at.
* ... is the number of still lifes with still life frequency greater than 1 in 10,000.
* ... is the number of oscillator periods that have appeared in C1 or G1 on Catagolue, including period 1.
* ... is the minimum period glider gun possible from a theoretical TL+G sequence hassler.
* ... is the highest number given to any XWSS on XWSS combination (MWSS on HWSS 15).
* ... is one of two periods (the other being 23) where a dependent reflector but not an independent reflector is known.
* ... is the lifespan of the short key (block predecessor).
* ... is the final [[population]] of the "[[technician]] concept" in [[Lifeline]]. (Catagolue link needed)
</div>

===16===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Rich's p16]], [[Achim's p16]], [[Rob's p16]], and [[Charity's p16]].
* ... is the final population of [[blockade]].
* ... is the default edge length in [[Catagolue]] soups.
* ... is the minimum possible period for a MWSS stream.
* ... or more cells gives 7 or more period-3 oscillators, while 15 or fewer cells gives 0 or 1.
* ... is the final population of the [[U-turner]] sequence (xp0_[[#211|<span style="color:green">211</span>]] u).
* ... is the number of [[Symmetry#Square-grid_symmetries|symmetries]] a still life can have.
* ... is the period of the [[Coe ship]], which has appeared naturally.
* ... is the largest "small still life" size that appears in #catagolue on Discord.
* ... is the maximum number of on cells for a still life that fits in a 5×5 box.
* ... is the minimum known period XWSS gun, although all are pseudo-period.
</div>

===17===
<div style="border:2px solid blue;">
* ... is the smallest period for which no oscillator was known for a long time.
* ... is the period of [[honey thieves]].
* ... is the lifespan of the [[bun]].
* ... was the number of gliders needed for universal construction for over a year.
* ... is the number of columns needed in a 2×N solid block to escape its bounding box horizontally.
* ... is the numerator of 17c/45, the speed of the [[caterpillar]].
* ... is the number of 6-cell patterns that evolve into a single [[ship]], as recorded in [[Lifeline Volume 4]].
* ... is the number of hexaplets that evolve into a single [[pond]].
* ... is the number of hexaplets that evolve into a single [[boat]].
* ... is the number of hexaplets that evolve into the [[R-pentomino]] sequence.
* ... is the maximum lifespan of a 6-cell object that dies out completely and doesn't form a [[Z-hexomino]].
* ... is the population of the smallest known pattern that stays [[stable]] in Life but not in B36e/S23.{{citation needed}}
<br>
'''See also''':
* [[Tail]] (xp0_'''17''')
</div>

===≈17.01===
<div style="border:2px solid red;">
* ... is the average number of objects per D8_4 Catagolue soup.
</div>

===≈17.04===
<div style="border:2px solid red;">
* ... is the average number of objects per D8_1 Catagolue soup.
</div>

===71/4===
<div style="border:2px solid orange;">
* ... is the average population of the [[figure eight]].
</div>

===18===
<div style="border:2px solid #ff00ff;">
* ... is the minimum possible period for a HWSS stream.
* ... is the highest-period known billiard table without symmetry or a phase shift reaction ([[Merzenich's p18]]).
* ... is the final population of the [[interchange]].
* ... is the total number of possible transitions in outer-totalistic rules: 9 birth, 9 survival.
* ... is the final population of the [[dove]] sequence.
* ... is the lowest known period independent glider reflector.
* ... is the base-2 logarithm of the cell size of the [[0E0P metacell]].
* ... is the maximum number of on cells for a still life that fits in a 6×6 box.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, evolves into a [[traffic light]] in Life.
* ... is the final population of the word "Lifeline", as shown on the [[Lifeline]] page. {{LinkCatagolue|style=brief|xs18_66yr696zy033yi33}}
</div>

===18.2===
<div style="border:2px solid orange;">
* ... is the average population of [[pseudo-barberpole]], the smallest p5 by this measure.
</div>

===19===
<div style="border:2px solid blue;">
* ... is the period of [[cribbage]].
* ... is the population of the smallest known [[Gn|G1]] [[glider pair]] [[eater]] ([[Eater 2]]). {{citation needed}}
* ... is the smallest period for which no sparker of any type is known.
* ... is the [[heat]] of the [[HWSS]].
* ... is the number of hexaplets that evolve into a [[blockade]].
* ... is the number of hexaplets that evolve into a single [[blinker]].
</div>

===≈19.53===
<div style="border:2px solid red;">
* ... is the average number of objects per D4_x1 Catagolue soup.
</div>

===20===
<div style="border:2px solid #ff00ff;">
* ... was the minimum known true-period [[gun]] until 2024.
* ... was a common edge length for soups before Catagolue settled on 16×16, for instance [[Andrzej Okrasinski's census]].
* ... is the lifespan of the [[teardrop]].
* ... is the period of the [[ecologist]].
* ... is the number of cells the front edge of the [[pi-heptomino]] moves forward from its initial position to its peak.
* ... is the number of [[#14|<span style="color:green">14</span>]]-cell period-[[#2|<span style="color:green">2</span>]] oscillators.
* ... is the minimum repeat time of the [[two pond and two block reaction]].
* ... is the population of the [[queen bee shuttle]].
* ... is the minimum population of any spaceship other than the standard four, such as the [[loafer]] and several flotillae.
* ... is the final population of the [[Octomino II]] sequence.
* ... is the default number of recent patterns and recent scripts in Golly.
* ... is the maximum number of a particular object where Catagolue credits a discovery for a new object.
* ... is the number of 6-cell patterns that evolve into a single [[tub]], as recorded in [[Lifeline Volume 4]].
* ... is the number of blinkers produces by a particular [[glider]]-[[LWSS]] [[collision]] as recorded in [[Lifeline Volume 6]].
* ... is the minimum known number of cells needed for quadratic growth.
* ... is the minimum period glider gun possible from the honey farm + fishhook reaction.
</div>

===≈20.59===
<div style="border:2px solid red;">
* ... is the average number of objects per D4_x4 Catagolue soup.
</div>

===≈20.71===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[loaf]] in a Catagolue soup.
</div>

===314/15===
<div style="border:2px solid orange;">
* ... is the average population of the [[pentadecathlon]].
</div>

===21===
<div style="border:2px solid #ff00ff;">
* ... is the period of the lowest odd true period glider gun.
* ... is the maximum number of cells that all still lifes are known to be synthesizable.
* ... is the period of a pipsquirter that's a honey farm hassler.
* ... is the population of the smallest known predecessors for both [[gosper glider gun]] and [[Simkin glider gun]] in Life.
* ... is the expansion factor of [[Sawtooth 1212]].
* ... is the number of states in [[User:Entity Valkyrie 2/StateInvestigator|StateInvestigator]].
* ... is in the username of JP21 and [[User:Prime Raptor21|Prime Raptor21]].
* ... is the number of hexaplets that evolve into the [[century]] sequence.
</div>

===≈21.60===
<div style="border:2px solid red;">
* ... is the average number of objects per D2_+1 Catagolue soup.
</div>

===≈21.85===
<div style="border:2px solid red;">
* ... is the average number of objects per C1 Catagolue soup.
</div>

===22===
<div style="border:2px solid #ff00ff;">
* ... had no known oscillators with that period until the 1990s, but now has several examples.
* ... was the smallest-known period gun until the period-20 glider gun was discovered.
* ... is the population of [[22P36]].
* ... is the number of generations difference between H and H'.
* ... is the lifespan of the [[cap]].
* ... is the number of [[polyplet|tetraplets]].
* ... is in the name of [[Rule 22]].
* ... is the period of a common oscillator in [[OCA:2×2|2×2]].
</div>

===≈22.44===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[boat]] in a Catagolue soup.
</div>

===≈22.53===
<div style="border:2px solid red;">
* ... is the average number of objects per D2_+2 Catagolue soup.
</div>

===23===
<div style="border:2px solid blue;">
* ... is the period of [[David Hilbert]], the first period-23 oscillator, discovered in 2019.
* ... is the [[mod]] of the [[twin bees shuttle]].
* ... is the population of [[switch engine ping-pong]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, shows a [[ship-tie]] in its ash in Life. (There is also another temporary ship-tie as well) ({{LinkCatagolue|code=xp0_tln0llv|style=raw}})
* ... is in the [[waterbear]]'s speed: (23,5)c/79.
* ... is the number of hexaplets that evolve into a [[honey farm]].
* ... is one of two periods (the other being 15) where a dependent reflector but not an independent reflector is known.
* ... is the [[lifespan]] of the bent key.
* ... is in the username of wwei23.
</div>

===24===
<div style="border:2px solid #ff00ff;">
* ... is the period of many hasslers and shuttles, in addition to [[dueling banjos]].
* ... is the period of the most common LCM oscillator, pulsar on figure eight ([[boring p24]] and [[uninteresting p24]]).
* ... is the population of the [[honey farm]] and [[fleet]].
* ... is the final population of the [[Herschel]].
* ... is the final population of the [[sombrero]] in Life.
* ... is the largest known ''n'' where a 1 by ''n'' rectangle is a spark in Life.
* ... is the number of neighbors (excluding the cell itself) in a range-2 Moore neighborhood.
* ... is the number of times a switch engine (by itself) reappears before being destroyed by its own exhaust.
* ... is the spacing between periods in many adjustable glider shuttles (e.g. 42+24N, 174+24N).
* ... is the inverse speed of the spaceship form of [[DOGun SaGaQR]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a boat in Life.
* ... is the number of objects per row in census.rle.
* ... is the number of heptominoes with any form of symmetry.
</div>

===≈24.04===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[pond]]s to all other 8-bit still lifes in [[Catagolue]]'s C1 census.
</div>

===170/7===
<div style="border:2px solid orange;">
* ... is the average population of the [[loafer]].
</div>

===25===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p25 pre-pulsar shuttle]], [[30P25]], and [[Charity's p25]].
* ... is the number of [[#10|<span style="color:green">10</span>]]-cell [[strict still life]]s.
* ... is the lifespan of the [[traffic jam]] reaction.
* ... is the population of the smallest c/3 spaceships ([[25P3H1V0]]) and smallest non-glider c/4 spaceship ([[crab]]).
* ... is the expansion factor of [[Sawtooth 1846]].
* ... is the number of objects the [[R-pentomino]] turns into, including gliders.
* ... is the default number of posts per page on the forums.
</div>

===≈25.05===
<div style="border:2px solid red;">
* ... is the average number of objects per D4_+1 Catagolue soup.
</div>

===≈25.90===
<div style="border:2px solid red;">
* ... is the average number of objects per D4_+2 Catagolue soup.
</div>

===26===
<div style="border:2px solid #ff00ff;">
* ... is the number of neighbors (excluding the cell itself) in a range-1 3D Moore neighborhood.
* ... ticks from the [[pi]]-[[heptomino]] shows two other [[pi]]-heptominoes.
* ... is the population of [[Beluchenko's p40]].
* ... is the number of states in [[Rule:LifeSuper|LifeSuper]].
* ... is the number of possible [[isotropic non-totalistic]] transitions in a hexagonal grid: 13 birth, 13 survival.
* ... is the period of a common oscillator in [[OCA:2×2|2×2]] and a common component of an oscillator with various stators in [[OCA:Just Friends|Just Friends]].
* ... is the final population of the [[B-heptomino]] in [[DryLife]].
</div>

===≈26.65===
<div style="border:2px solid red;">
* ... is the average number of objects per D4_+4 Catagolue soup.
</div>

===27===
<div style="border:2px solid #ff00ff;">
* ... had no known oscillators of that period until 2002.
* ... is the period of [[56P27]] and the [[period-27 glider gun]].
* ... is the initial population of the [[14911M]].
* ... is the number of still lifes with still life frequency greater than 1 in 100,000.
* ... is the smallest known period for c/3 rakes.
* ... is the number of [[heptomino]]es that die out completely.
* ... is the smallest known non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, shows a complete [[fleet]] in its ash in Life. ({{LinkCatagolue|code=xp0_tln011v|style=raw}})
</div>

===28===
<div style="border:2px solid #ff00ff;">
* ... is a common period for [[pre-pulsar shuttle]]s, which can be made in many different ways.
* ... is the final population of the [[B-heptomino]] sequence.
* ... is the minimum population of the [[Kok's galaxy]].
* ... is the population of all three phases of [[cross]], one of which is a polyomino.
* ... is the population of the [[bakery]].
* ... is the maximum population of any phase of the [[teardrop]] sequence.
* ... is the number of live cells in the 39×1 1-cell thick infinite growth pattern.
* ... generations after an R-pentomino forms a B-heptaplet, equivalent to the B-heptomino.
* ... is the minimum population of the [[copperhead]].
* ... is the minimum population of any period-7 oscillator, of which four with this population are known.
* ... is the number of [[two-glider collision]]s that die out completely.
* ... is the maximum number of on cells for a still life that fits in a 7×7 box.
* ... is the number of 6-cell patterns that evolve into the [[century]] sequence, as recorded in [[Lifeline Volume 4]].
* ... is the [[outer-totalistic]] [[rule integer]] of the rule [[OCA:Serviettes]].
</div>

===29===
<div style="border:2px solid blue;">
* ... is a common period for [[pre-pulsar shuttle]]s, which can be made in many different ways.
* ... is the population of the [[p45 pi-heptomino hassler]].
* ... is the number of cells the front edge of the [[B-heptomino]] moves forward from its initial position to its peak (it recedes one cell afterwards).
* ... is the number of 15-cell period-2 oscillators.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[clean]] [[blinker]] in Life. ({{LinkCatagolue|code=xp0_tln0nlv|style=raw}})
* ... is the final population of the [[B-heptomino]] in [[HighLife]].
</div>

===30===
<div style="border:2px solid #ff00ff;">
* ... is a common period for [[pre-pulsar shuttle]]s, which can be made in many different ways.
* ... is the period of the [[queen bee shuttle]] and the [[Gosper glider gun]].
* ... is the minimum population of [[30P5H2V0]], the smallest 2c/5 orthogonal spaceship.
* ... is the minimum population of [[30P25]], the smallest known p25 oscillator.
* ... is the default percentage for random fill in Golly.
* ... generations into the pi-heptomino sequence, a sibling of the pi-heptomino appears up front.
* ... is the minimum category for megasized patterns on Catagolue (30h).
* ... is the number of hexaplets that evolve into a single [[block]].
* ... is the number of 5-cell patterns that evolve into a single [[loaf]], as recorded in [[Lifeline Volume 4]].
* ... is the final population of the [[queen bee]] by itself.
* ... is the final population of the [[R-pentomino]] in [[Pedestrian Life]].
</div>

===31===
<div style="border:2px solid blue;">
* ... is the period of [[Merzenich's p31]], a very useful sparker.
* ... is the population of the [[31.4|large still life]] used in the original and Spartan version of [[Snark]].
* ... is the number of oscillators with oscillator frequency greater than 1 in 1 billion.
* ... is the minimum population of [[Eater 3]].
* ... is the numerator of 31c/240, the speed of several engineered spaceships.
* ... is the edge length of a D4_+1 or D8_1 Catagolue soup.
* ... is the repeat time of the [[odd traffic stop]].
</div>

===≈31.05===
<div style="border:2px solid red;">
* ... is the average number of objects per C2_1 Catagolue soup.
</div>

===≈31.22===
<div style="border:2px solid red;">
* ... is the average number of objects per C2_2 Catagolue soup.
</div>

===≈31.57===
<div style="border:2px solid red;">
* ... is the average number of objects per C2_4 Catagolue soup.
</div>

===≈31.77===
<div style="border:2px solid red;">
* ... is the approximate [[block]]:[[tub]] ratio in [[Catagolue]]'s C1 census, comparing the two still lifes with four cells.
</div>

==[32,100) ==

===32===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[gourmet]] and several other pi-turning reactions.
* ... was the number of gliders required for universal construction before being reduced to 17.
* ... is the most zoomed in scale in Golly (1:32).
* ... is the population of the smallest [[triple pseudo still life]].
* ... is the number of generations it takes for the long table to become a pulsar.
* ... is the number of Margolus rules, excluding birth from all cells being empty.
* ... is the smallest known non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into the [[century]] sequence in Life. ({{LinkCatagolue|code=xp0_llv0tln|style=raw}})
* ... is the edge length of a D4_+4 or D8_4 Catagolue soup.
* ... is the number of known [[pentadecathlon pair]]s.
* ... is the [[lifespan]] of the "[[technician]] concept" in [[Lifeline]].
</div>

===≈32.51===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[ship]] in a C1 Catagolue soup. Note that this is highly dependent on soup size, as most are created by Herschels extending beyond the initial area.
</div>

===33===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of [[butterfly]].
* ... is the period of [[Jason's p33]].
* ... is the population of [[rattlesnake]], [[diamondback]], and [[dinner table]], the smallest two period-11 oscillators and formerly the smallest period-12 oscillator.
* ... is the smallest period that's a multiple of 3 where a c/3 spaceship is not known.
* ... is the smallest "large still life" size that appears in #catagolue on Discord.
* ... is the smallest number (other than 1, 2, and 3) that doesn't appear in jslife's wicks folder.
* ... is the conduit with the smallest recovery time on LifeWiki ([[RF28B]]).
* ... is the number of gliders required to synthesize the [[weekender]].
* ... is the number of hexaplets that evolve into a single [[beehive]].
* ... is the number of 4-cell patterns with no irrelevant cells (78) that don't die out.
* ... is the smallest unbroken 1×N line that emits gliders that crash into each other well after the main pattern has settled.
'''See also''':
* [[Block]] (xs4_'''33''')
</div>

===≈33.43===
<div style="border:2px solid red;">
* ... is the average number of objects per C4_1 Catagolue soup.
</div>

===34===
<div style="border:2px solid #ff00ff;">
* ... is the third to last period oscillator to be discovered, with [[74P34]] in 2022.
* ... is the period of [[120P34]].
* ... is the population of the sparker [[34P7]].
* ... is the population of [[Merzenich's p64]], the smallest known p64 oscillator.
* ... is the population of the smallest [[quad pseudo still life]].
* ... is the maximum number of bits for which all strict still lifes have been enumerated.
* ... is the number of hexaplets that evolve into a single [[loaf]].
* ... is the history envelope size of the [[table]] sequence.
* ... is the larger dimension of the numerator of the speed of the [[(34,7)c/156 Herschel climber]].
</div>

===1/.0287115 (≈34.83)===
<div style="border:2px solid red;">
* ... is the inverse density of ash in a soup on a torus.
</div>

===35===
<div style="border:2px solid #ff00ff;">
* ... is the number of hexominoes.
* ... is the period of the [[p35 honey farm hassler]] and [[50P35]].
* ... was the number of gliders required for universal construction before being reduced to 32 and then 17.
* ... is the population of [[four eaters hassling lumps of muck]], the smallest known p52 oscillator.
* ... is the average population of [[x66]].
* ... is the number of 5-cell patterns that evolve into a single [[block]], as recorded in [[Lifeline Volume 4]].
* ... is the number of 6-cell patterns that evolve into a single [[toad]], as recorded in [[Lifeline Volume 4]].
* ... by 1 rectangle creates 12 blocks and nothing else.
</div>

===≈35.01===
<div style="border:2px solid red;">
* ... is the average number of objects per C4_4 Catagolue soup.
</div>

===36===
<div style="border:2px solid #ff00ff;">
* ... is the period of several shuttles and hasslers, including several with [[traffic light]]s, one with a [[LoM]], many [[honey farm hassler]]s, and the [[p36 shuttle]].
* ... is the minimum population of [[Jason's p22]] and [[Gabriel's p138]].
* ... is the minimum population of [[weekender]], the smallest 2c/7 orthogonal spaceship.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[pond]] in Life. ({{LinkCatagolue|code=xp0_llv0vlt|style=raw}})
* ... is the base-2 logarithm of the period of the [[0E0P metacell]].
* ... is the repeat time of the [[traffic stop]].
* ... is the maximum number of on cells for a still life that fits in an 8×8 box.
* ... is the population of the second-smallest still life in [[3-4 Life]].
</div>

===37===
<div style="border:2px solid blue;">
* ... is the period of [[Beluchenko's p37]], [[Beluchenko's other p37]], and [[58P37]].
* ... is the minimum population of [[37P4H1V0]], the smallest c/4 orthogonal spaceship.
* ... is the history envelope size of the [[traffic light]] sequence.
</div>

===38===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[44P38]].
* ... is the largest even period for which no true-period [[gun]] is known.
* ... is the maximum period that the [[two pond and two block reaction]] could create, if any examples were known.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into exactly four [[blinker]]s (but not the [[traffic light]]) in Life. ({{LinkCatagolue|code=xp0_llv0vlv|style=raw}})
* ... is the number of hexaplets that evolve into a [[traffic light]].
</div>

===39===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p39 pi-heptomino hassler]].
* ... is the number of 18-cell period-3 oscillators.
* ... is the minimum population of the [[Schick engine]].
* ... is the final population of the [[I-heptomino]].
* ... is the mimimum 1×N bounding box needed for infinite growth.
* ... is the period of the [[two-glider octomino]] on an 11×11 torus, but shifted.
* ... is the number of pentaplets (out of 94) that die completely.
* ... is the highest number of consecutive zeroes that [[apgcode]] originally supported.
* ... is the highest composite number where a gun of that period is not known.
* ... is the most entries a [[POTY]] has had.
* ... is the number of period-4 2-spaceship flotillae (not including sidecar or X66).
</div>

===40===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Beluchenko's p40]].
* ... is the number of cells forward the [[R-pentomino]] moves from its leading edge, excluding the forward escaping gliders.
* ... is the final population of the 1 by [[#8|<span style="color:green">8</span>]] rectangle in Life.
* ... is the maximum population of the [[pentadecathlon]].
* ... is the maximum population of the [[interchange]] sequence.
* ... is the maximum bounding box side length that [[apgcode]] originally supported.
* ... is the percentage of soups that Charity Engine was running as C1, with the rest being symmetric (back when it was running symmetric soups).
</div>

===41===
<div style="border:2px solid blue;">
* ... was the last period for which no oscillators were known, until the discovery of [[208P41]].
* ... is the generation that the B-heptomino releases its [[first natural glider]].
* ... is the smallest known ''n'' where a 1 by ''n'' rectangle shows [[pulsar]]s in its ash in Life.
* ... is the population of the canonical eater2-eater5 weld in the [[Syringe]].
</div>

===42===
<div style="border:2px solid #ff00ff;">
* ... is the population of [[Achim's p144]].
* ... is the reciprocal speed of the [[bookend]] as a [[spaceship]] in rule B3/S234iw.
* ... is the history envelope size of the [[figure eight]].
* ... was the last composite period for which no oscillator whose volatility matches strict volatility was known to exist before being found.
* ... is the answer to Life — wait, that's a different Life.
</div>

===43===
<div style="border:2px solid blue;">
* ... is the repeat time of the Snark, allowing oscillators of periods 43 and higher to be constructed.
* ... is the period of the [[period-43 glider gun]].
* ... is the recovery time of [[B60]] if the FNG is removed.
* ... is the number of possible symmetries of an oscillator, taking into account both in a single generation and across generations. 
* ... is the number of birth transitions (or survival transitions) in INT knight-move neighborhood rules.
* ... is the maximum number of on cells for a still life that fits in a 9×9 box.
</div>

===44===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-44 glider gun]], based on the [[p44 pi-heptomino hassler]].
* ... is the population of [[p35 honey farm hassler]], the smallest known p35 oscillator.
* ... is the population of [[44P38]], the first known p38 oscillator.
* ... is the number of xq4 entries in C1 on Catagolue (four standard, 39 flotillae, and [[sidecar]]).
</div>

===45===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-45 glider gun]].
* ... is the lifespan of the [[Z-hexomino]].
* ... is the population of [[p32 honey farm hassler]] and [[p56 B-heptomino shuttle]], the smallest known p32 and p56 oscillators.
* ... is the denominator of 17c/45, the speed of the [[caterpillar]].
* ... is the population (live cells only) of the smallest known [[Garden of Eden]].
* ... is the number of [[hivenudger]] variants.
* ... is the size of the largest asymmetric still life in a Catagolue soup.
* ... is the number of 4-cell patterns with no irrelevant cells (78) that die out completely.
* ... is the final population of the [[R-turner]].
</div>

===46===
<div style="border:2px solid #ff00ff;">
* ... is the number of 11-cell still lifes.
* ... is the period of the [[twin bees shuttle]], found very early. Many guns using this oscillator are known.
* ... is the number of 14-bit p2 pseudo-oscillators.
* ... is the maximum lifespan of a 6-cell object that dies out completely ([[Z-hexomino]] parent).
* ... is the final population of the [[Thunderbird]].
* ... is the repeat time of the [[Lx65_duplicator]].
</div>

===47===
<div style="border:2px solid blue;">
* ... is the period of the [[p47 pre-pulsar shuttle]] and the highest prime period in the original DRH oscillators collection.
* ... is the mod of the [[AK-94]] gun; it was named after the real-life gun AK-47, where 94 is twice 47.
* ... is the expansion factor of [[Sawtooth 201]].
* ... is the recovery time of [[Jormungant's G-to-H]].
* ... is in the username wwei47.
* ... is the number of gliders that the methuselah [[Iwona]] produces.
* ... is the number of [[octo3obj]] results for the [[fishhook]] alone.
* ... is the lifespan (i.e. age) of Hans Leo Hassler (i.e. the composer), the namesake of the [[Hans Leo hassler]].

</div>

===48===
<div style="border:2px solid #ff00ff;">
* ... is the period of several shuttles and hasslers.
* ... is the period of the tiny [[period-48 glider gun]].
* ... is the population of the smallest phase of the pulsar.
* ... is the population of [[Merzenich's p31]], [[p54 shuttle]], and [[49P88]], the smallest known p31 and p54 oscillators and the smallest known non-LCM p88.
* ... is the final population of the [[two-glider octomino]].
* ... is the number of generations it takes for the [[switch engine]] to show itself again.
* ... is the lifespan of the line of 8 cells.
* ... is the number of neighbors (excluding the cell itself) in a range-3 Moore neighborhood.
* ... is the recovery time of [[PF35W]].
* ... is the final population of the [[skewed pre-pulsar]].
</div>

===530/11 (42.181818...)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of the [[two-glider mess]].
</div>

===49===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[R49]].
* ... is the period of [[44P49]] and [[p49 skewed pulsar hassler]].
* ... is the minimum population of [[49P384]].
* ... is the repeat time of the [[hotcrystal0_reaction#Generalized_form|hotcrystal0 reaction]] and the period of one gun that can be created using it.
* ... is the L/MCPS of the [[E-heptomino]].
* ... is the number of stars the winner of [[POTY]] 2016 got.
</div>

===50===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p50 traffic jam]] and the [[period-50 glider gun]].
* ... is the anniversary year that this collection was made for.
* ... is the height of the lifecompetes grid.
* ... is the number of entries per page that [[Catagolue]] gives you for period 2-9 oscillators.
* ... is the maximum number of entries that the gliderdb command on Discord will fetch at a time.
* ... is the number of stars the winner of [[POTY]] 2017 got.
</div>

===51===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Beluchenko's p51]].
* ... is the minimum population of [[51P384]].
* ... is the number of birth transitions (or survival transitions) in isotropic non-totalistic rules with a range-1 Moore square neighbourhood: 1+2+6+10+13+10+6+2+1.
* ... is the period of one gun that can be made from the [[hotcrystal0_reaction#Generalized_form|hotcrystal0 reaction]].
* ... is the recovery time of [[Fx77]] if the FNG is removed.
* ... is in the username of [[Bullet51]].
* ... is the smaller dimension of the bounding box of the final ash of the [[R-pentomino]], excluding escaping gliders.
</div>

===52===
<div style="border:2px solid #ff00ff;">
* ... is the period of two very small oscillators: [[four eaters hassling lumps of muck]] and [[four molds hassling eight blocks]].
* ... is the tile size for GPU soups on Catagolue.
* ... is the maximum methuselah category (52k) on Catagolue currently.
* ... is the population of the original and Spartan version of [[Snark]].
* ... is the mod of the [[B-52 bomber]], which gives it its name.
* ... is the final population of the [[E-heptomino]].
* ... is the recovery time of [[BLx19R]].
* ... is the final population of a solid 9×9 square.
* ... is the denominator of a puffer speed in [[User:Pzq_Alex/Rules_1_transition_from_Life|B37e/S23]].
* ... is the period of an oscillator where gliders that mutually annihilate and can be turned into a gun in [[User:Pzq_Alex/Rules_1_transition_from_Life|B35y/S23]].
</div>

===53===
<div style="border:2px solid blue;">
* ... is the period of [[94P53]].
* ... is the largest period for which no true-period gun is known.
</div>

===54===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-54 glider gun]].
* ... is the period of the [[p54 shuttle]], found very early.
* ... is the smallest period Snark loop that allows four gliders instead of eight.
* ... is in the name of [[Rule 54]].
* ... is the recovery time of [[Conduit 1]] if the FNG is removed.
* ... is the maximum number of on cells for a still life that fits in a 10×10 box.
</div>

===55===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-55 glider gun]].
* ... is the period of the [[p55 pre-pulsar hassler]].
* ... is the final population of the [[pi-heptomino]].
* ... is the number of distinct 12-cell [[pseudo still life]]s.
* ... is the number of birth transitions (or survival transitions) in range-2 cross neighborhood rules.
* ... is the recovery time of [[BRx46B]].
</div>

===56===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[p56 B-heptomino shuttle]].
* ... is the population of the medium phase of the pulsar.
* ... is the population of [[56P27]], the smallest known p27 oscillator.
* ... is the population of the largest still life ([[cloverleaf interchange]] and one other) in the C1 Catagolue census.
* ... is the final population of the 1 by [[#25|<span style="color:green">25</span>]] rectangle in Life.
* ... is the minimum population of [[56P6H1V0]], the smallest c/6 orthogonal spaceship.
* ... is the smallest 1×N line that releases any gliders.
* ... is the maximum population of the [[honey farm]] sequence.
* ... is the generation where [[octomino II]] gains diagonal symmetry.
</div>

===57===
<div style="border:2px solid #ff00ff;">
* ... is the period of the former smallest period-57 glider gun and related oscillator, which involves two [[R-pentomino]]es colliding and being sparked by huge p3 domino sparkers.
* ... is the recovery time of [[Lx65]] and [[SW-2]].
* ... is the number of distinct 10-cell [[quasi still life]]s.
* ... is the lifespan of 3b2o$o$bo2bo$b3o!, ranked 51st in the [[list of common evolutionary sequences]].
* ... is the number of beehives that [[Lidka]] produces.
* ... is the generation count of a specific 3-cell traffic light push (2o$bo11bo$bobo$2b2o9b3o$12bo3bo$12bo3bo$12bo3bo$13b3o6$13b3o$12bo3bo$12bo3bo$12bo3bo$2b2o9b3o$bobo$bo11bo$2o!).
* ... is the number of [[octo3obj]] results for the [[half-bakery]] alone.
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|position=center|caption=The known distinct 10-cell quasi still lifes.<br/>}}
</div>

===58===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p58 pre-pulsar shuttle]] and [[p58 pi-heptomino hassler]].
* ... is the minimum population of [[spider]] and [[58P5H1V1]], the smallest c/5 orthogonal and diagonal spaceships, as well as [[58P37]].
* ... is the recovery time of [[L112]].
* ... is the [[lifespan]] of the word "Lifeline" as shown on the [[Lifeline]] page.

</div>

===59===
<div style="border:2px solid blue;">
* ... is the repeat time of [[Conduit 1]].
* ... is the period of [[108P59]].
* ... is the period of one of the oscillators in a Lua file that comes with Golly.
* ... is the recovery time of [[R49]].
* ... is the denominator of a puffer speed in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3-e/S23]].
</div>

===60===
<div style="border:2px solid #ff00ff;">
* ... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
* ... is the mod of the [[Simkin glider gun]], which uses two copies of [[B60]].
* ... is the population of [[60P312]].
* ... is the maximum number of generations per second in LifeViewer with step size 1.
* ... is the recovery time of [[Fx153]] and [[Lx84]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a loaf in Life.
* ... is the number of [[octo3obj]] results for the [[LWSS]] alone.
</div>

===61===
<div style="border:2px solid blue;">
* ... is the period of the [[Pi-heptomino hasslers#p61|p61 pi-heptomino hassler]].
* ... is the repeat time of the [[speed tunnel]] using the fastest FNG eater.
* ... is the mod of a hypothetical sparked Z-hexomino (period 122), except no period-61 sparkers are known.
* ... is the reciprocal of the theoretical speed of [https://www.conwaylife.com/forums/viewtopic.php?f=2&t=4948 a spaceship] where two blocks and two traffic light predecessors plus two dot sparks shifted one cell in 61 generations minus the sparks.
* ... is the only period for which the Herschel loop introduced by David Buckingham in 1996 emits no gliders.
* ... is the recovery time of the [[BFx59H injector]].
</div>

===62===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[110P62]].
* ... is the period of a specific oscillator where the active region is a teardrop, I-heptomino, century, and a common unnamed pi+loaf at various points.
* ... is the population of [[62P7]], a very useful sparker, and [[62P83]].
* ... is the recovery time of [[L156]], a Herschel conduit emitting extra gliders other than the FNG.
* ... is the period of a line of 10 in a Margolus rule.
* ... is the lifespan of 3bo$2ob2o$3bo$obo$bo!, ranked 48th in the [[list of common evolutionary sequences]].
</div>

===437/7 (62.428571...)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of the [[F-heptomino]].
</div>

===63===
<div style="border:2px solid #ff00ff;">
* ... is the repeat time of the [[speed tunnel]] using the standard FNG eater.
* ... is the lifespan of the [[stairstep hexomino]].
* ... is the maximum population of the [[wing]] sequence.
* ... is in Paul's (i.e. "Golly gibberish") email address.
* ... is the recovery time of [[F117]] and [[HFx58B]].
</div>

===64===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Merzenich's p64]] and [[p64 thunderbird hassler]].
* ... generations after a B-heptomino, another B-heptomino appears, which inspires [[R64]] with this step time.
* ... is the minimum population of [[64P2H1V0]], the smallest period-2 c/2 spaceship.
* ... is the repeat time (and in the name) of [[snark64]].
* ... is the most zoomed-in scale in LifeViewer.
* ... is the maximum step size in LifeViewer. 
* ... is the number of Margolus rules, including birth from all cells being empty.
* ... is the edge length of lifelib patterns.
* ... is the maximum number of on cells for a still life that fits in an 11×11 box.
* ... is the ''maximum'' population of [[30P25]], beating the previous ''minimum'' for p25 oscillators.
</div>

===65===
<div style="border:2px solid #ff00ff;">
* ... is the period of the p65 [[pre-pulsar shuttle]].
* ... is the maximum population of the [[century]] sequence.
* ... is the time it takes for an R-pentomino descendant to reappear when sparked in a specific location (https://www.conwaylife.com/forums/viewtopic.php?t=&p=8872#p8872)
* ... is the step time of [[Lx65]].
* ... is the number of beehives that the methuselah [[bunnies]] produces.
* ... is the lowest period for which no synthesized object exists.
</div>

===66===
<div style="border:2px solid #ff00ff;">
* ... is the number of 19-cell period-3 oscillators.
* ... is the period of the p66 R-pentomino hassler, which consists of eight [[R-pentomino]]es hitting each other and being sparked by either p3 or p6 oscillators.
* ... is the population of [[gourmet]], formerly the smallest known p32 oscillator.
* ... is the population of the [[p196 pi-heptomino hassler]].
* ... is the population of the canonical [[syringe]].
* ... is the number of cells backward the [[R-pentomino]] moves from its initial trailing edge, excluding the backward escaping gliders.
* ... is the lifespan of the [[two-glider collision]] that creates a traffic light and glider.
* ... is the recovery time of [[HF95P]].
* ... is the minimum population of any known stable or periodic object that is [[endemic]] to Life, consisting of a [[p146 pi-heptomino hassler]] with an eater 2 variant for stabilisation.
* ... is in the name of [[x66]].
</div>

===67===
<div style="border:2px solid blue;">
* ... is the period of the [[p67 B-heptomino hassler]].
* ... is the minimum population of [[Raucci's p102]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a blockade in Life.
* ... is the lifespan of the [[two-glider collision]] that creates a block, blinker, tub, and loaf, starting at the generation immediately before contact.
* ... is the denominator of a speed of a puffer (8c/67o) in B36i/S23.
</div>

===68===
<div style="border:2px solid #ff00ff;">
* ... is the population of [[statorless p5]], [[68P16]], and [[68P32]].
* ... is the denominator of a failed puffer speed (that explodes chaotically) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3/S234y]].
</div>

===69===
<div style="border:2px solid #ff00ff;">
* ... is the generation that the R-pentomino releases its [[first natural glider]].
* ... is the population in all phases of [[sixty-nine]], an oscillator named after this fact.
* ... is a common sequence of apgcodes' first two digits.
* ... is in the username of Hippo.69
</div>

===70===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[78P70]].
* ... is the population of [[70P26]] and [[centinal]], the smallest known p26 and p100 oscillator.
* ... is the maximum population of the [[U-turner]] sequence.
* ... is the recovery time of [[Lx73]].
* ... is the recovery time of the [[Bandersnatch]].
</div>

===71===
<div style="border:2px solid blue;">
* ... is the number of 2-glider collisions in Life.
* ... is the period of [[p71 honey farm hassler]].
* ... is the maximum number of characters in a canonical INT rule using B/S notation.
* ... is the number of 5-cell patterns that evolve into a single [[beehive]], as recorded in [[Lifeline Volume 4]].
* ... is the population of [[Extrementhusiast's p6]].
</div>

===72===
<div style="border:2px solid #ff00ff;">
* ... is the period [[two blockers hassling R-pentomino]] and [[p72 quasi-shuttle]].
* ... is the population of the dense phase of the pulsar.
* ... is the length of the smallest 1×N line that produces [[spark coil]]s.
* ... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 96.
* ... is the maximum known megasized category in an asymmetric soup on Catagolue (72h in G1).
* ... is the final population of the [[two-glider mess]].
* ... is the recovery time of [[SW1T43]].
* ... is the history envelope size of the [[Z-hexomino]] sequence.
</div>

===73===
<div style="border:2px solid blue;">
* ... is the period of the [[p73 lumps of muck hassler]].
* ... is the step time of [[Lx73]].
* ... is the smallest positive integer N for which the "Category: Oscillators with N cells" does not currently exist on LifeWiki other than very low numbers where no such oscillator exists.
</div>

===74===
<div style="border:2px solid #ff00ff;">
* ... is one of the overclock periods of the [[syringe]].
* ... is the period of [[Raucci's p74]] and one of the [[pi-heptomino hassler]]s.
* ... is the minimum population of [[74P34]] and [[74P127]].
* ... is the smallest even period for which a c/2 puffer is possible but not known.
* ... is the smallest positive integer N for which the "Category: Oscillators with mod N" does not currently exist on LifeWiki.
* ... is the number of stars the winner of [[POTY]] 2019 got.
</div>

===75===
<div style="border:2px solid #ff00ff;">
* ... is one of the overclock periods of the [[syringe]].
* ... is the period of [[6 bits]].
* ... is the number of 6-cell patterns that evolve into a [[pi-heptomino]], as recorded in [[Lifeline Volume 4]].
</div>

===76===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[p76 pi-heptomino hassler]].
* ... is the lifespan of the [[procrastinator]] in its original form in Lifeline Volume 4.
* ... is the width of a line puffer that comes with Golly.
* ... is the population of [[76P8]].
* ... is the maximum number of on cells for a still life that fits in a 12×12 box.
* ... is the number of stars the winners of [[POTY]] 2020 got.
</div>

===77===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[Fx77]].
* ... is the minimum population of [[77P6H1V1]], the smallest c/6 diagonal spaceship.
* ... is in the [[apgcode]] of the [[pre-beehive]]. (xp0_77)
* ... is in the username of 77topaz and flipper77.
</div>

===78===
<div style="border:2px solid #ff00ff;">
* ... is the repeat time of the [[syringe]], excluding overclocking.
* ... is the number of 2-glider collisions in rules containing B2n but otherwise identical to Life.
* ... is the number of 15-bit p2 pseudo-oscillators.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a honey farm in Life.
* ... is the number of 4-cell patterns with no irrelevant cells.
* ... is the denominator of a speed of a puffrake (11c/78o) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B35c/S23]].
</div>

===79===
<div style="border:2px solid blue;">
* ... is the denominator of the [[waterbear]]'s speed: (23,5)c/79.
* ... is the height of Sir Robin.
* ... is the lifespan of 3bo$bo3bo2$o5bo$7o!, a common sequence in odd-symmetric soups.
</div>

===238/3===
<div style="border:2px solid orange;">
* ... is the rulestring for [[EightLife]] in S/B notation (before B/S notation became common), interpreted literally as division.
</div>

===80===
<div style="border:2px solid #ff00ff;">
* ... is the number of neighbors (excluding the cell itself) in a range-4 Moore neighborhood.
* ... is the number of neighbors (excluding the cell itself) in a range-1 4D Moore neighborhood.
* ... is the history envelope size of the [[pentadecathlon]].
* ... is the number of cells between rows in census.rle.
</div>

===81===
<div style="border:2px solid #ff00ff;">
* ... is the smallest oscillator period for which an oscillator is known but no engine is known.
* ... is the larger dimension of the bounding box of the [[p7-assisted period-28 glider gun]].
* ... is the lifespan of the [[B-heptomino]] in [[Grounded Life]].
* ... is the smallest positive integer N for which the "Category: Oscillators with period N" has zero entries on LifeWiki.
</div>

===82===
<div style="border:2px solid #ff00ff;">
* ... is the true period of the p41 wick stabilized with glider guns.
* ... is the population of [[p76 pi-heptomino hassler]], the smallest known p76 oscillator.
* ... is the minimum gun period that allows the common beehive [[crystal]] to form.
* ... is the denominator of a speed of an engineered spaceship ((12,5)c/82) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3/S234y]].
* ... is the denominator of a puffer speed (41c/82o) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3/S23-j]].
</div>

===83===
<div style="border:2px solid blue;">
* ... is the population of the [[p25 pre-pulsar shuttle]].
* ... is the period of [[62P83]].
* ... is the number of periods in the original DRH oscillator collection.
* ... is the minimum population of [[lobster]], the smallest c/7 diagonal spaceship.
* ... is in the username of 83gv.
* ... is in the username of 83bismuth38.
* ... is the edge length of a solid 83×83 grid of on cells, which produces four [[unix]]es.
* ... is the height of the [[scholar]].
* ... is the number of hexaplets with any form of symmetry.
</div>

===84===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[52P84]] and two oscillators [[User:hotdogPi/My discoveries/Period 61-100|found by David Raucci]].
* ... is the period of [[p84 honey farm hassler]], the first oscillator found with symmetric CatForce.
* ... is the population of [[p47 pre-pulsar shuttle]], [[Raucci's p74]], [[84P87]], and [[84P199]], the smallest known p47, p74, p87, and p199 oscillators.
* ... is the step time of [[Lx84]].
* ... is the history envelope size of the [[interchange]] sequence. 
</div>

===85===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p85 R-pentomino hassler]].
* ... is the recovery time of the [[G4 receiver]].
* ... is the number of stars the winner of [[POTY]] 2021 got.
</div>

===86===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[76P86]] and the [[strictly volatile p86]].
* ... is the number of transitions for birth and survival combined in INT knight-move neighborhood rules.
* ... is the number of characters needed to encode a rule in a MAP string for the range-1 Moore neighborhood.
* ... is the minimum population of [[86P118]].
* ... is the denominator of a speed of an orthogonal switch engine-like object in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3-e/S23]].
</div>

===87===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[84P87]].
</div>

===88===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[49P88]] and the [[period-88 glider gun]].
* ... is the period of one of the oscillators (queen bee turn) that comes with Golly.
* ... is the minimum number of cells that need to be specified for the smallest known [[Garden of Eden]].
* ... is the history envelope size of the [[pulsar]].
* ... is common in apgcodes of still lifes.
* ... is the period of what a single state-9 cell eventually becomes in StateInvestigator.
</div>

===89===
<div style="border:2px solid blue;">
* ... is the number of nonominoes with any form of symmetry.
* ... is the smallest prime number for which no multiple of that number (including itself) appears in David Raucci's oscillator collection. Herschel tracks do exist, however.
* ... is the number of characters needed to encode a rule in a MAP string for the range-1 Moore neighborhood including the word "MAP".
* ... is the history envelope size of "seven blinkers" as shown in census.rle (3o$bo$bob2o$b2o!), although some predecessors increase it.
</div>

===90===
<div style="border:2px solid #ff00ff;">
* ... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
* ... is the number of 21-bit p3 pseudo-oscillators.
* ... is the recovery time of [[Lx200]].
* ... is the maximum number of on cells for a still life that fits in a 13×13 box.
* ... is the number of degrees in some reflectors.
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a single glider in Life.
</div>

===91===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of a 36×1 rectangle.
* ... is the period of an R-pentomino hassler found using symmetric CatForce.
* ... is the history envelope size of a line of 11.
</div>

===92===
<div style="border:2px solid #ff00ff;">
* ... is the period of several [[twin bees shuttle]]s interactions and a traffic light hassler.
* ... is the population of [[Jason's p156]].
* ... is the recovery time of [[Callahan G-to-H]] and [[Fx176]].
* ... is in the name of a file that comes with Golly: TriangularAnt_period92.rle
* ... is the number of gliders that [[52513M]] produces.
</div>

===93===
<div style="border:2px solid #ff00ff;">
* ... is the [[lifespan]] of a 25×1 rectangle.
* ... is the history envelope size of the [[honey farm]] sequence and the L-hexomino (5o$o!).
* ... is the lifespan of the [[B-heptomino]] in [[DryLife]].
</div>

===94===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[AK-94]] and the [[p94 R-pentomino hassler]].
* ... is the number of [[polyplet|pentaplets]].
* ... is the lifespan of the longest [[two-glider collision]] that completely dies out.
</div>

===95===
<div style="border:2px solid #ff00ff;">
* ... is the step time of conduit [[HF95P]].
* ... is the number of distinct oscillators and spaceships in [[Achim Flammenkamp's census]].
* ... is the number of stars the winner of [[POTY]] 2023 got.
</div>

===96===
<div style="border:2px solid #ff00ff;">
* ... is the period of the p96 [[Hans Leo hassler]], which has eight different cell periods (1, 2, 3, 4, 8, 12, 48, 96).
* ... is the period of a specific [[B-heptomino hassler]] that is a 51+45 combination.
* ... is the denominator of the [[switch engine]] speed, unsimplified (8c/96).
* ... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 72.
* ... is the period of the bomber in [[HighLife]].
* ... is the height of [[339P7H1V0]].
* ... is the number of cells between columns in census.rle.
* ... is the number of active regions shown in the post that contains census.rle without needing to download the file.
* ... is the lifespan of the "[[isomer|cis-]][[house]]-[[tie]]" in Life.
</div>

===≈96.49===
<div style="border:2px solid red;">
* ... is the average number of blinkers for each non-blinker oscillator.
</div>

===97===
<div style="border:2px solid blue;">
* ... is the period of one specific [[Honey farm hasslers#p97|honey farm hassler]].
</div>

===98===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[R49]] loop with two R-pentominoes.
* ... is the mod of the [[p196 pi-heptomino hassler]].
* ... is the reciprocal of an elementary spaceship speed in [[HighLife]].
* ... is the number of 16-cell period-2 oscillators.
* ... is the recovery time of [[Bx106]].
</div>

===99===
<div style="border:2px solid #ff00ff;">
* ... is in the username of user X99.
</div>

==[100,317)==

===100===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[centinal]] and two particular [[honey farm hassler]]s.
* ... is the recovery time of [[L122]].
* ... is the width of the lifecompetes grid.
* ... is the final population of the smallest 1x''n'' rectangle that produces escaping gliders.
* ... is the number of most common objects in Catagolue's statistics page.
* ... is the minimum population of the [[2-engine Cordership]].
</div>

===101===
<div style="border:2px solid blue;">
* ... is the name of an oscillator: [[101]]
* ... is the period of [[116P101]].
* ... is the minimum population of [[sparky]].
* ... is in the username PC101.
* ... is the number of generations it takes for gliders to form from a 1×56 line, the smallest unbroken orthogonal line that emits gliders in Life..
* ... is the number of beehives that the methuselah [[Ed]] produces.
</div>

===102===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Raucci's p102]].
* ... is the number of isotropic transitions: 51 birth, 51 survival.
* ... is the minimum population of [[dragon]].
* ... is the minimum population of the lower-clearance form of the [[Emulator|p6 half-heavyweight emulator]].
* ... is the history envelope size of a line of 12.
* ... is the number of blocks that [[Lidka]] produces.
</div>

===≈102.86===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[tub]] in a Catagolue soup.
</div>

===103===
<div style="border:2px solid blue;">
* ... is the lifespan of the [[century]].
* ... is the lifespan of a 30×1 rectangle and of a 50×1 rectangle.
</div>

===104===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[B-52 bomber]].
* ... is the minimum population of the smallest known [[period]]-[[#177|<span style="color:green">177</span>]] oscillator.
* ... is the minimum population of [[104P9]].
* ... is the minimum population of the higher-clearance form of the [[Emulator|p6 half-heavyweight emulator]].
* ... is the maximum number of on cells for a still life that fits in a 14×14 box.
* ... is in the name of a file that comes with Golly: loopability-104-rro.rle
</div>

===105===
<div style="border:2px solid #ff00ff;">
* ... is the number of generations it takes for the junk left behind by the [[R-pentomino]] to interact with the B's first block.
* ... is the final population of the [[blonk-tie]].
* ... is the rank of the most common 19-cell still life ([[mango with block on dock]]) in [[list of common still lifes]].
</div>

===≈105.75===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[pond]] in a Catagolue soup.
</div>

===106===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[block and glider]].
* ... is the minimum period required for the [[rectifier]] to work.
* ... is the period of [[115P106]].
* ... is the step time of conduit [[Bx106]].
* ... is the mod of a 13-cell natural glider gun in [[Pedestrian Life]].
* ... is the lifespan of a 37×1 rectangle.
* ... is the final population of a 47×1 rectangle.
* ... is the number of stars the winner of [[POTY]] 2018 got.
* ... is the period of an "even pulsar" shuttle in B3/S23-y.
</div>

===107===
<div style="border:2px solid blue;">
* ... is the recovery time of [[R190]].
* ... is the maximum population of the [[Iwona active region]] sequence.
* ... is the most stars ever given to an object in [[POTY]].
* ... is the history envelope size of a line of 9.
* ... is the history envelope size of 2o$2o4bo$5b3o!.
* ... is the minimum known population of any predecessor of a spacefiller ([[max]]).
* ... is the number of stars the winner of [[POTY]] 2015 got.
</div>

===108===
<div style="border:2px solid #ff00ff;">
* ... is the number of heptominoes.
* ... is the minimum population of [[p128 wing shuttle]].
* ... is the history envelope size of the [[queen bee shuttle]] supported by blocks.
</div>

===109===
<div style="border:2px solid blue;">
* ... is the number of 6-cell patterns that evolve into a single [[glider]], as recorded in [[Lifeline Volume 4]].
* ... is the larger dimension of the bounding box of the final ash of the [[R-pentomino]], excluding escaping gliders.
* ... is the number of still lifes created via synthesis in one of the RLEs that comes with Golly (109-still-lifes.rle).
* ... is the number of blocks that the methuselah [[bunnies]] produces.
</div>

===110===
<div style="border:2px solid #ff00ff;">
* ... is the number of 13-cell pseudo still lifes. 
* ... is a famous 1D Wolfram rule: [[Rule 110]]
* ... is the number of 16-bit pseudo still lifes.
* ... is the number of combined birth and survival conditions for a range-2 cross INT rule.
* ... is the minimum population of [[110P62]] and [[popover]].
* ... is the period of a puffer (23c/110o) in B34c/S23, which is a [[century]].
* ... is the index of the [[thunderbird]] sequence in census.rle, zero-indexed.
* ... is the denominator of a puffer speed in [[User:Pzq_Alex/Rules_1_transition_from_Life|B34c/S23]].
</div>

===111===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[R-pentomino hasslers#p111|p111 R-pentomino hassler]].
* ... is the height of the current optimal [[678P7]] sparker.
</div>

===112===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[Beluchenko's p51]], [[112P15]], and [[p31 glider shuttle]].
* ... is the step time of conduit [[L112]].
* ... is the lifespan of the "1", in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Cistercian_Digits_census_results|Cistercian Digits]] font, in Life.
</div>

===√12621 (≈112.34)===
<div style="border:2px solid #00ffff;">
* ... is the evaluation of squareroot12621's username.
</div>

===113===
<div style="border:2px solid blue;">
* ... is the period of [[nihonium]] and the [[p113 glider gun]].
* ... is the recovery time of [[RR56H]].
* ... is the minimum population of [[sailboat]].
</div>

===114===
<div style="border:2px solid #ff00ff;">
* ... is the period of a pi-heptomino-based glider gun found by David Raucci.
* ... is the minimum population of the [[bulldozer]].
</div>

===116===
<div style="border:2px solid #ff00ff;">
* ... is the final population of the R-pentomino.
* ... is the minimum population of [[116P101]].
* ... is the lifespan of the original [[die hard]] in HighLife. 
* ... is the step time of conduit [[F116]].
* ... is the recovery time of [[BF20H]], [[F166]], and the [[Herschel transmitter]].
* ... is in the username of [[C_R_116]].
* ... is the denominator of a speed of a forward-moving mechanism (18c/116o) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3-c/S23]] that can be turned into an engineered spaceship.
</div>

===117===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-117 glider gun]].
* ... is the step time of conduit [[F117]].
* ... is the recovery time of the [[Herschel receiver]].
* ... is the minimum population of [[117P9H3V0]] and [[p8 swan tagalong]] (including the swans).
</div>

===118===
<div style="border:2px solid #ff00ff;">
* ... is the number of 6-cell patterns that evolve into [[blockade]]s, as recorded in [[Lifeline Volume 4]].
* ... is the period of a puffer (27c/118d) in B3-n/S23.
* ... is the number of gliders that [[50093M]] produces.
* ... is the period of [[86P118]].
* ... is the minimum period of the 2hd glider shuttle using a transparent traffic light if LCMing it with e.g. fumaroles to delete blinkers is allowed.
</div>

===119===
<div style="border:2px solid #ff00ff;">
* ... is the step time of conduit [[Fx119]].
* ... is the maximum number of on cells for a still life that fits in a 15×15 box.
* ... is the minimum population of [[pi portraitor]].
* ... is the minimum population of [[119P4H1V0]].
* ... is the lifespan of the original [[die hard]] in HighLife (which still works as a diehard). 
</div>

===120===
<div style="border:2px solid #ff00ff;">
* ... is the period of several oscillators, many of which are period-multiplied, LCMs, or shuttles, but also includes a pi-heptomino hassler.
* ... is the period of the [[Simkin glider gun]].
* ... is the highest period oscillator to appear naturally in an asymmetric soup.
* ... is in the name of [[NW31T120]].
* ... is the recovery time of [[BNE14T30]] when preceded by [[BRx46B]].
* ... is the period of an interchange hassler in [[HoneyLife]].
* ... is the population of one of the [[period-7 sparkers]] (120P7) and of [[120P34]].
* ... is the number of neighbors (excluding the cell itself) in a range-5 Moore neighborhood.
</div>

===121===
<div style="border:2px solid #ff00ff;">
* ... is the number of 12-cell still lifes.
* ... is the expansion factor of [[sawtooth 177]] and [[sawtooth 181]].
* ... is the population of [[Period-7 sparkers|121P7]], a sparker.
* ... is the population of the [[p48 pi-heptomino hassler]].
* ... is the population of the [[Silver reflector]].
</div>

===122===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[David Hilbert]].
* ... is the step time of conduit [[L122]].
* ... is the period of a hypothetical [[Z-hexomino]] hassler with mod 61.
</div>

===123===
<div style="border:2px solid #ff00ff;">
* ... is the name of an oscillator, excluding hyphens: [[1-2-3]]
* ... is the maximum population of the [[B-heptomino]] sequence.
* ... is the generation number where the [[B-heptomino]] initially reaches its farthest forward point.
* ... is the mod of the symmetric p246 oscillator based on the [[period-246 glider gun]].
* ... is the number of 6-cell patterns that evolve into a single [[pond]], as recorded in [[Lifeline Volume 4]].
* ... is the minimum population of [[123P27.1]], the first known p27 oscillator.
* ... is the end of the apgcode of [[Big S]] (xs14_g88b96z123).
</div>

===124===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p124 lumps of muck hassler]].
* ... is the final population of [[gliders by the dozen]].
* ... is the minimum population of [[Beluchenko's p37]], [[p130 shuttle]], and [[124P21]].
* ... is the final population of a 43×1 rectangle.
* ... is in the name of a file that comes with Golly: tubstretch-c124b.rle
</div>

===125===
<div style="border:2px solid #ff00ff;">
* ... is the step time of conduit [[Bx125]].
* ... is the minimum population of the 2hd glider shuttle using a transparent traffic light, possible for periods 126+8N.
</div>

===126===
<div style="border:2px solid #ff00ff;">
* ... is the period of a particular pi-heptomino hassler and associated glider gun ({{LinkCatagolue|code=gun_126|style=raw}}).
* ... is the reciprocal of a speed of a forward rake in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3-c/S23]].
* ... is the minimum period of the 2hd glider shuttle using a transparent traffic light without any non-blinker periodic support.
</div>

===127===
<div style="border:2px solid blue;">
* ... is the period of [[74P127]].
* ... is the RNG length in Dean Hickerson's p15240 PRNG.
* ... is the number of 6-cell patterns that evolve into [[honey farm]]s, as recorded in [[Lifeline Volume 4]].
</div>

===128===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the Herschel.
* ... is the period of a pi-heptomino hassler and wing shuttle.
* ... is the average number of cells filled in in a Catagolue soup.
* ... is the population of [[128P10.2]] and [[snail]].
* ... is the highest number [[LifeWiki:Did you know|DYK]] that Caterer on Discord can produce.
* ... is the category (methuselah_128k) of a D4_x1 [[switch engine]]-based [[methuselah]].
* ... is the number of beehives that the methuselah [[Fred]] produces.
* ... is the index of the [[F-heptomino]] sequence in census.rle, zero-indexed.
</div>

===129===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p129 R-pentomino hassler]].
</div>

===130===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the original [[die hard]].
* ... is the period of [[p130 shuttle]].
* ... is the recovery time of [[RF48H]].
* ... is the lifespan of one semi-common 7-cell object listed [[List of common evolutionary sequences|here]].
</div>

===131===
<div style="border:2px solid blue;">
* ... is the history envelope size of the "flare" (bo$2obo$bobo$2b2o!).
</div>

===132===
<div style="border:2px solid #ff00ff;">
* ... is the maximum population of the [[two-glider octomino]] sequence.
* ... is the period of [[255P132]] (a U-turner shuttle), one of the [[Hans Leo hassler]]s, and a period-tripled [[p44 pi-heptomino hassler]].
* ... is the population of [[132P7]], a sparker.
* ... is the population of the [[T-nosed p5]].
* ... is the population of the minimal form of [[Jason's p11]].
* ... is the category (methuselah_132k) of a D4_x4 [[switch engine]]-based [[methuselah]].
* ... is the number of beehives that the methuselah [[Eve]] produces.
</div>

===133===
<div style="border:2px solid #ff00ff;">
* ... is the minimum period of a [[rectifier]] loop with only two gliders.
</div>

===134===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[134P39.1]], the first-known p39 oscillator.
* ... is the minimum population of the [[4-engine Cordership]].
* ... is the maximum population of the [[I-heptomino]] sequence.
* ... is the number of beehives that the methuselah [[Wilma]] produces.
* ... is the period of a specific [[Wing hasslers#p134|wing hassler]] that uses a p2 [[corner dot]] sparker.
</div>

===135===
<div style="border:2px solid #ff00ff;">
* ... is the degrees turned for certain converters such as [[135-degree MWSS-to-G]].
* ... is the smallest unbroken 1×N line that produces pulsars. 
* ... is the number of degrees in some reflectors, specifically XWSS→G.
* ... is the number of blinkers that [[Lidka]] produces.
</div>

===136===
<div style="border:2px solid #ff00ff;">
* ... is the maximum number of on cells for a still life that fits in a 16×16 box.
* ... is the minimum population of the stable-catalyst form of the [[p55 pre-pulsar hassler]].
* ... is the number of blinkers that the methuselah [[bunnies]] produces.
</div>

===137===
<div style="border:2px solid blue;">
* ... is the height of the [[spaghetti monster]].
* ... is the number of bytes in the first edition of this article.
* ... is the minimum population of the monomer version of [[p486 R-pentomino hassler]].
* ... is in the name of a file that comes with Golly: justfriends-p137loop.rle
</div>

===138===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Gabriel's p138]] and several [[twin bees shuttle]] (46×3) combinations.
* ... is the rank of the most common 22-cell still life ([[cis-mirrored worm]]) in [[list of common still lifes]].
* ... is in the forum username of <i>ColorfulGabrielsp138</i>, one of the co-authors of this article.
</div>

===139===
<div style="border:2px solid blue;">
* ... is the number of objects that [[acorn]] creates.
* ... is the minimum population of [[139P7H1V0]].
* ... is the history envelope size of a line of 13.
</div>

===140===
<div style="border:2px solid #ff00ff;">
* ... is the number of objects that [[multum in parvo]] creates.
* ... is the minimum population of [[statorless p3]].
* ... is the number of beehives that the methuselah [[Edna]] produces.
* ... is the final population of a 42×1 rectangle.
* ... is the maximum population of the R-turner sequence.
</div>

===≈140.9===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[O quad-loaf|O quad-loaves]] to all other 28-bit still lifes in [[Catagolue]]'s C1 census.
</div>

===141===
<div style="border:2px solid #ff00ff;">
* ... is the number of [[quasi still life]]s with 11 cells.
</div>

===142===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[p486 R-pentomino hassler]].
* ... is the minimum population of one particular [[Pi-heptomino hasslers#p119|pi-heptomino hassler]].
</div>

===143===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p143 Bandersnatch loop]].
* ... is the period of a gun that uses the [[chucklebait]] reaction.
* ... is the number of beehives that the methuselah [[Iwona]] produces.
</div>

===144===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Achim's p144]] and its associated glider gun.
* ... is the minimum population of [[144P24]], [[p26 pre-pulsar shuttle]], and [[quasar]].
* ... ticks after the [[Herschel]] in B34c/S23, another Herschel appears.
* ... is the yl number for the [[block-laying switch engine]] on Catagolue.
</div>

===145===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[145P20]], the first known p20 oscillator.
* ... is the number of [[octo3obj]] results for the [[mango]] alone.
* ... is the index of the [[Z-hexomino]] sequence in census.rle, zero-indexed.
* ... is the denominator of a speed of a blinker puffer (3c/145d) in B3/S23-c.
</div>

===146===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[p26 glider shuttle]].
* ... is the history envelope size of the [[procrastinator]] sequence.
</div>

===147===
<div style="border:2px solid #ff00ff;">
* ... is the period of one particular [[honey farm hassler]] with D4 symmetry.
</div>

===148===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[B-heptomino]].
* ... is the lifespan of a 31×1 rectangle.
* ... is the minimum population of 148P5, a heavyweight volcano that actually has side sparks ({{LinkCatagolue|code=xp5_3p64kmhf8bbgzhf8b6w1g89hzv50oxuron0abai3zflggx7t1u0t521z4v06b88kghkb413z64311347066|style=raw}}).
</div>

===149===
<div style="border:2px solid blue;">
* ... is the rank of the most common still life over 22 cells ([[O quad-loaf]] with 28 cells) in [[list of common still lifes]].
* ... is the history envelope size of 3o$3bo2$b3o!, ranked #39 in census.rle.
</div>

===150===
<div style="border:2px solid #ff00ff;">
* ... is the number of generations it takes for a pi to reform when hit by a glider in a specific position (plus an output glider).
</div>

===152===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[p29 pentadecathlon hassler]].
* ... is the maximum number of on cells for a still life that fits in a 17×17 box.
</div>

===153===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the object hassled in Karel's p177.
* ... is in the apgcode of the [[glider]] (xq4_153).
* ... is the recovery time of [[R64]].
* ... is the number of generations it takes for the toad to be hit in the [[two-glider octomino]] sequence.
</div>

===154===
<div style="border:2px solid #ff00ff;">
* ... is the period of an [[octomino II]] shuttle found by [[David Raucci]].
* ... is the number of cells in the bounding box of the [[queen bee shuttle]] (22×7).
</div>

===156===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p156 Hans Leo hassler]] and [[Jason's p156]].
* ... is the step time of [[L156]].
* ... is the denominator of the speed of the [[(34,7)c/156 Herschel climber]].
* ... is the history envelope size of a line of 14.
* ... is the heat of [[139P7H1V0]].
</div>

===157===
<div style="border:2px solid blue;">
* ... is the minimum population of the [[p156 Hans Leo hassler]].
* ... is the recovery time of [[H-to-MWSS]].
</div>

===158===
<div style="border:2px solid #ff00ff;">
* ... is the recovery time of [[Fx119 inserter]].
* ... is the step time of [[Fx158]].
</div>

===159===
<div style="border:2px solid #ff00ff;">
* ... is the period of a c/3 forward rake in one of the RLEs that comes with Golly (c3-forward-rake-p159.rle).
</div>

===160===
<div style="border:2px solid #ff00ff;">
* ... is the period of an oscillator that involves four [[Beluchenko's p40]]s hassling a blinker.
* ... is the period of an oscillator that involves two [[pi-heptomino]]es diagonally flipping with only stable supports.
</div>

===161===
<div style="border:2px solid #ff00ff;">
* ... is the mod of a specific C2-symmetric pi reaction that is self-sustaining when a single block is removed. (The period is twice that, 322.) https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=132962&hilit=p322#p132971
</div>

===162===
<div style="border:2px solid #ff00ff;">
* ... is the period of a specific moth hassler (shown on the [[lumps of muck hassler]] page as each moth turns into two lumps of muck).
* ... is the number of generations it takes for the first [[ship]] to form in the [[R-pentomino]] sequence.
</div>

===163===
<div style="border:2px solid blue;">
* ... is the lifespan of the [[U-turner]] in its canonical form.
* ... is the history envelope size of the offset honey farm (obo$2ob2o$2bo!).
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a beehive in Life.
* ... is the [[MCPS]] of the methuselah [[Ed]].
</div>

===164===
<div style="border:2px solid #ff00ff;">
* ... is the [[MCPS]] of the methuselah [[Fred]].
</div>

===165===
<div style="border:2px solid #ff00ff;">
* ... is the period of a MWSS gun in one of the RLEs that comes with Golly (gun-p165mwss.rle).
* ... is the number of generations it takes for the [[E-heptomino]] sequence to first reach its farthest extent.
</div>

===166===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p166 R-pentomino hassler]].
* ... is the number of rows in the full [[census.rle]], with the last row being partial.
* ... is the recovery time of [[Bx125]].
* ... is the step time of [[F166]].
* ... is the number of generations it takes for [[Thunderbird]] to gain its [[gutter]].
* ... is the denominator of a speed of an engineered spaceship ((6,1)c/166) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B35k/S23]].
</div>

===168===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[pi orbital]].
* ... is the minimum population of [[168P22.1]], the first known p22 oscillator.
* ... is the smaller dimension of the bounding box of the final ash of the [[acorn]], excluding escaping gliders.
* ... is the number of neighbors (excluding the cell itself) in a range-6 Moore neighborhood.
* ... is the lifespan of a 47×1 rectangle.
* ... is in the name of a file that comes with Golly: p168-knightship.rle
* ... is the post count of LLAMASKYWALKER, last active in 2022.
</div>

===169===
<div style="border:2px solid #ff00ff;">
* ... is the index of the first sequence in census.rle without a 3-glider synthesis, zero-indexed.
</div>

===170===
<div style="border:2px solid #ff00ff;">
* ... is the total number of stars given in OCA [[DOTY]] 2017.
</div>

===171===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[F171]].
* ... is the maximum number of on cells for a still life that fits in a 18×18 box.
* ... is the number of hexaplets that die, as recorded in [[Lifeline Volume 4]].
* ... is the number of beehives that the methuselah [[Homer]] produces.
</div>

===172===
<div style="border:2px solid #ff00ff;">
* ... is the period of one particular [[Century hasslers#p172|century shuttle]].
</div>

===173===
<div style="border:2px solid blue;">
* ... is the lifespan of the [[pi-heptomino]].
* ... is the lifespan of one [[List of common evolutionary sequences|common]] "traffic light hits block" sequence.
* ... is the number of stars the winners of [[POTY]] 2022 got.
</div>

===174===
<div style="border:2px solid #ff00ff;">
* ... is the minimum period glider gun for the [[hotcrystal0 reaction]] one-glider shuttle.
* ... is the minimum population of a specific [[Wing hasslers#p134|p134 wing hassler]] that uses a p2 [[corner dot]] sparker.
* ... is the denominator of a speed of a spaceship (9c/174o) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B2n3/S23]].
</div>

===175===
<div style="border:2px solid #ff00ff;">
* ... is the final population of an octomino (xp0_17e4) that outlived{{citation needed}} the [[R-pentomino]] in Life.
</div>

===176===
<div style="border:2px solid #ff00ff;">
* ... is the number of generations it takes for the initial B-heptomino to finish evolving in the [[R-pentomino]] sequence.
* ... is the recovery time of [[Fx158]].
* ... is the step time of [[Fx176]].
</div>

===177===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Karel's p177]].
* ... is the lifespan of the heptomino 2b2o$b2o$2o$o! (xp0_136c).
* ... is in the name of a sawtooth ([[sawtooth 177]]).
* ... is the number of generations it takes for the first [[boat]] to form in the [[R-pentomino]] sequence.
</div>

===178===
<div style="border:2px solid #ff00ff;">
* ... is a common starting apgcode sequence for still lifes, corresponding with tails connected to other objects.
* ... is the smaller dimension of the bounding box of the final ash of [[multum in parvo]], excluding escaping gliders.
* ... is the total number of stars given in [[POTY]] 2014.
</div>

===179===
<div style="border:2px solid blue;">
* ... is a prime factor of 1969 (the other being 11), the year Conway's Game of Life was discovered.
</div>

===180===
<div style="border:2px solid #ff00ff;">
* ... is the population of [[180P8]].
* ... is the population of [[p444 R-pentomino hassler]].
* ... is the number of degrees in some reflectors.
* ... is the minimum population of the largest SKOP (period 103).
* ... is the history envelope size of the [[long bun]] sequence.
* ... is the denominator of a speed of an a puffrake (11c/180o) in [[User:Pzq_Alex/Rules_1_transition_from_Life|B3/S23-e]].
</div>

===181===
<div style="border:2px solid blue;">
* ... is in the name of a sawtooth ([[sawtooth 181]]).
</div>

===182===
<div style="border:2px solid #ff00ff;">
* ... is the final population of [[Lidka]] without the tub.
* ... is the history envelope population of the R-turner during a brief pause when the active region is in already-covered cells.
</div>

===183===
<div style="border:2px solid #ff00ff;">
* ... is the period of a [[lumps of muck hassler]].
* ... is the lifespan of [[gliders by the dozen]].
* ... is the arithmetic mean final population of the "[[Lidka]] minus [[tub]]" methuselah.
* ... is the index of one particular sequence that's hassled in a p40 oscillator in census.rle, zero-indexed.
</div>

===184===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-184 glider gun]] and a specific [[lumps of muck hassler]].
* ... is currently the population of the smallest known unsynthesizable still life.
* ... is the final population of the "6" or "9", in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, in Life.
</div>

===185===
<div style="border:2px solid #ff00ff;">
* ... is the period of an engineless 2c/5 rake in one of the RLEs that comes with Golly (2c5-engineless-rake-p185.rle).
* ... is a factor of 41625, found in the username lemon41625.
</div>

===186===
<div style="border:2px solid #ff00ff;">
* ... is the population of [[186P24]], the first non-trivial and non-boring p24 oscillator to be found.
* ... is the period of two shuttles: a century shuttle and a pi-heptomino shuttle.
</div>

===187===
<div style="border:2px solid #ff00ff;">
* ... is the total number of objects arising from a lone switch engine, including escaping gliders.
* ... is the period of a specific [[century hassler]].
</div>

===35201/188 (≈187.24)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[35201M]].
</div>

===188===
<div style="border:2px solid #ff00ff;">
* ... is the [[MCPS]] of [[35201M]].
* ... is the period of an oscillator consisting of two blocks and a two-glider octomino in B36c/S23.
</div>

===30872/161 (≈189.40)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[Ed]].
</div>

===190===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[R190]].
* ... is the period of a class of (5,2)c/190 spaceships and puffers in [[Pedestrian Life]].
* ... is the period of one particular [[thunderbird]] shuttle.
* ... is the larger dimension of the bounding box of the final ash of [[multum in parvo]], excluding escaping gliders.
* ... is the number of blinkers that the methuselah [[Ed]] produces.
</div>

===191===
<div style="border:2px solid blue;">
* ... is the lifespan of the [[queen bee]].
</div>

===192===
<div style="border:2px solid #ff00ff;">
* ... is a yl (yl192) in Catagolue C1.
</div>

===193===
<div style="border:2px solid blue;">
* ... is the lifespan of b3o2$4bo$o$b3o!
* ... is the number of beehives that [[52513M]] produces.
</div>

===194===
<div style="border:2px solid #ff00ff;">
* ... is the number of decominoes with any form of symmetry.
* ... is the lifespan of a 48×1 rectangle.
</div>

===195===
<div style="border:2px solid #ff00ff;">
* ... is the maximum population of the [[two-glider mess]].
* ... is the number of decominoes with holes.
</div>

===196===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p196 pi-heptomino hassler]] and a bob2o$bo2bo$o3bo$b2o! shuttle.

* ... is the number of blocks that the methuselah [[Iwona]] produces.
* ... is the number of beehives that the methuselah [[24827M]] produces.
</div>

===197===
<div style="border:2px solid blue;">
* ... is the initial population of the methuselah [[Wilma]].
</div>

===39693/201 (≈197.48)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[Wilma]].
</div>

===198===
<div style="border:2px solid #ff00ff;">
* ... is the number of blocks that the methuselah [[Eve]] produces.
</div>

===31192/157 (≈198.68)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[Edna]].
</div>

===≈198.8===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[long boat]] among still lifes in a Catagolue soup.
</div>

===199===
<div style="border:2px solid blue;">
* ... is the period of [[84P199]].
* ... is the number of 17-bit period-2 oscillators.
* ... is a common number of example soups Catagolue will show for a common object.
* ... is the number of blocks that the methuselah [[Fred]] produces.
</div>

===200===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[dove]] and the "trans-house-tie" in Life.
* ... is the larger of the two displacements of the [[Stable Storage Spaceship]], moving at (200,7)/81976184.
* ... is the step time of [[Lx200]].
* ... is the maximum number of generations Caterer's !identify command works for on Discord.
* ... is the minimum number of occurrences needed for a region to be included in [[census.rle]].
</div>

===201===
<div style="border:2px solid #ff00ff;">
* ... is the maximum population of the pi-heptomino.
* ... is the minimum population of [[sawtooth 201]].
* ... is the period of a specific [[R-pentomino hasslers#p201|R-pentomino hassler]] that is also a glider gun.
* ... is the recovery time of [[Rx202]].
* ... is the [[MCPS]] of [[Wilma]].
* ... is the history envelope size of 2o5bo$o4bobo$7bo!.
</div>

===202===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[Rx202]].
* ... is the rank of the rarest 9-cell still life ([[long^3 snake]]) in [[list of common still lifes]].
* ... is the index of the [[multum in parvo]] sequence in census.rle, zero-indexed.
* ... is the history envelope size of 2bo2bo$bo3bo$o4bo$o$b3o!, ranked #40 in census.rle.
* ... is a factor of 606, found (with slight variation) in the username eRroR_6o6.
</div>

===203===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the diehard b2o$b2o5$bo$3o$o2bo$b3o!.
* ... is the height of the original form of [[1320P7]].
</div>

===204===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[204P41]].
</div>

===206===
<div style="border:2px solid #ff00ff;">
* ... is the history envelope size of a line of 8.
* ... is the sum of the minimum populations of the 18 objects that can be synthesized in exactly 3 gliders (12+6+6+48+9+13+11+14+14+16+4+6+6+7+8+8+9+9)
* ... is the index of the L-hexomino (5o$o!) sequence in census.rle, zero-indexed.
</div>

===207===
<div style="border:2px solid #ff00ff;">
* ... is the final population of the "27", in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, in Life.
</div>

===208===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the 8-glider [[Snark loop]], which was the largest [[SKOP]] for a while.
* ... is the minimum population of [[208P41]], the form [[204P41]] was originally found in (for a few minutes).
* ... is the period of a specific [[Pi-heptomino hasslers#p208|pi-heptomino hassler]].
</div>

===22713/109 (≈208.38)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of 22713M.
</div>

===209===
<div style="border:2px solid #ff00ff;">
* ... is the population of [[209P8]].
* ... is the number of blinkers that the methuselah [[Fred]] produces.
* ... is the lifespan of a 40×1 rectangle.
</div>

===210===
<div style="border:2px solid #ff00ff;">
* ... is the period of a loafer gun that in a file that comes with Golly.
* ... is the minimum population of the [[5-engine Cordership]].
* ... is the minimum population of the [[period-33 glider gun]].
* ... is 10 choose 4 (and also 10 choose 6), which means it's the number of ways to choose four or six B3, B5, S3, or S5 transitions out of 10.
* ... is the period of an oscillator consisting of two pi-heptominoes in B3/S23-c.
</div>

===211===
<div style="border:2px solid blue;">
* ... is the number of 17-bit oscillators of any period.
* ... is the minimum population of [[Canada Grey]].
* ... is the lifespan of 4b3o$2o3bo$2o!.
* ... is the number of blinkers that the methuselah [[Eve]] produces.
</div>

===212===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[10-engine Cordership]].
* ... is the minimum population of the [[period-34 glider gun]].
</div>

===212.8===
<div style="border:2px solid orange;">
* ... is the L/MCPS of 18088M.
</div>

===213===
<div style="border:2px solid #ff00ff;">
* ... is the number of blinkers that the methuselah [[Iwona]] produces.
* ... is the minimum population of the [[6-in-a-row Cordership]].
</div>

===25371/119 (≈213.20)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of 25371Μ.
</div>

===215===
<div style="border:2px solid #ff00ff;">
* ... is the larger dimension of the bounding box of the final ash of the [[acorn]], excluding escaping gliders.
* ... ticks after the herschel in Honeylife, another herschel appears.
* ... is the post count of {censored}, expected to no longer be active.
</div>

===216===
<div style="border:2px solid #ff00ff;">
* ... is the number of 20-bit period-3 oscillators.
* ... is the period of a gun that in a file that comes with Golly (metapixel-p216-gun.mc.gz).
* ... is the minimum population of the [[8-engine Cordership]].
* ... is the number of beehives that the methuselah [[42100M]] produces.
* ... is [[Dave Greene]]'s forum user ID.
</div>

===35426/164 (≈216.01)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[Fred]].
</div>

===217===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[Raucci's p217]].
* ... is the lifespan of b2o$o2bo$b2o2$3bo$2b2o$2bobo!, a glider hitting a beehive.
* ... is the number of blocks that the methuselah [[32829M]] produces.
</div>

===218===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of 2b3o$bo3bo$o5bo2b2o$o5bo2b2o$o5bo$bo3bo$2b3o!.
</div>

===220===
<div style="border:2px solid #ff00ff;">
* ... is the period of a specific [[honey farm shuttles#p220|honey farm shuttle]].
* ... is the number of beehives that the methuselah [[50093M]] produces.
* ... is the total number of stars given in [[POTY]] 2013.
* ... is the denominator of a speed of a puffer (46c/220o) in B34c/S23, which evolves from [[century]] or [[bookend]].
</div>

===220.6===
<div style="border:2px solid orange;">
* ... is the L/I and L/MCPS of the [[R-pentomino]].
</div>

===222===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[Bx222]], [[Entity Valkyrie]]'s worst enemy.
</div>

===223===
<div style="border:2px solid blue;">
* ... is the history envelope size of the active region hassled in [[Jason's p22]].
</div>

===225===
<div style="border:2px solid #ff00ff;">
* ... is the number of 16-bit pseudo-p2s.
* ... is a factor of 41625, found in the username lemon41625.
</div>

===226===
<div style="border:2px solid #ff00ff;">
* ... is the [[population]] of the first known [[Garden of Eden]] pattern (in [[Life]]), which is also a polyomino.
</div>

===227===
<div style="border:2px solid blue;">
* ... is the recovery time of [[F171]].
* ... is the number of 16-bit pseudo-oscillators of any period.
</div>

===228===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the eight-glider [[Snark loop]], setting an upper bound for all SKOPs of period 43+ in Life.
* ... is the [[lifespan]] of the [[B-heptomino]] in [[HighLife]].
</div>

===229===
<div style="border:2px solid blue;">
* ... is the number of blinkers that the methuselah [[Edna]] produces.
</div>

===230===
<div style="border:2px solid #ff00ff;">
* ... is the population of 230P8 as it was found before being reduced to [[180P8]].
</div>

===≈230.7===
<div style="border:2px solid red;">
* ... is the approximate ratio of [[ship-tie]]s to all other 12-bit still lifes in [[Catagolue]]'s C1 census.
</div>

===231===
<div style="border:2px solid #ff00ff;">
* ... is the recovery time of [[Fx119]].
* ... is the number of blocks that the methuselah [[Wilma]] produces.
* ... is the number of blocks that the methuselah [[Edna]] produces.
</div>

===232===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[232P7H3V0]].
* ... is the number of blinkers that the methuselah [[Wilma]] produces.
* ... is the number of beehives that the methuselah [[35201M]] produces.
</div>

===233===
<div style="border:2px solid blue;">
* ... is the minimum population of [[233P3H1V0]], the first known [[non-monotonic]] [[c/3o]] spaceship.
* ... is the number of blinkers that the methuselah [[32829M]] produces.
</div>

===234===
<div style="border:2px solid #ff00ff;">
* ... is the history envelope size of the original [[diehard]].
</div>

===235===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[pufferfish spaceship]].
</div>

===236===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[Raucci's p217]].
* ... is the maximum population of the [[blonk-tie]] sequence.
</div>

===237===
<div style="border:2px solid #ff00ff;">
* ... is in the rulestring of B3/S237c (glife).
* ... is [[Adam P. Goucher]]'s forum user ID.
</div>

===238===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[Iwona active region]].
* ... is in the rulestring of [[EightLife]], B3/S238.
* ... is the number of pages Random Posts  had before being locked.
</div>

===240===
<div style="border:2px solid #ff00ff;">
* ... is the number of 13-cell still lifes.
* ... is the denominator of several ships moving at [[31c/240o]].
* ... is [[Andrew Trevorrow]]'s forum user ID.
</div>

===241===
<div style="border:2px solid blue;">
* ... is the number of days between the first known p38 ([[44P38]], January 12, 2022) and the first known p38 not based on the original one ([[Honey farm hasslers#p38|p38 D8 honey farm hassler]], September 10, 2022).
</div>

===242===
<div style="border:2px solid #ff00ff;">
* ... is the history envelope size of [[octomino II]].
* ... is the index of the sequence that is the active region of [[116P101]] in census.rle, zero-indexed.
* ... is the number of neighbors (excluding the cell itself) in a range-1 5D Moore neighborhood.
</div>

===243===
<div style="border:2px solid #ff00ff;">
* ... is the [[mod]] of the [[p486 R-pentomino hassler]].
* ... is the lifespan of the [[thunderbird]].
* ... is the smallest non-negative integer that, when written in [[Dean Hickerson]]'s [[User:ColorfulGalaxy/Life_Digits_census_results|Life Digits]] font, evolves into a [[barge]] in Life.
</div>

===244===
<div style="border:2px solid #ff00ff;">
* ... is the total number of 13-bit still lifes and oscillators combined.
* ... is the minimum population of 244P3, a reduction of [[258P3]].
</div>

===245===
<div style="border:2px solid #ff00ff;">
* ... is the total number of 13-bit still lifes, oscillators, and spaceships combined.
* ... is in the rulestring of [[B368/S245]].
* ... is the lifespan of bo$2o$obo$bo3b2o$5bo!
</div>

===246===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[period-246 glider gun]] and related oscillator.
</div>

===247===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the I-heptomino.
</div>

===249===
<div style="border:2px solid #ff00ff;">
* ... is the period of one [[pi-heptomino hasslers#p249|pi-heptomino hassler]].
</div>

===251===
<div style="border:2px solid blue;">
* ... is the number of [[octo3obj]] results for the [[barge]] alone.
</div>

===252===
<div style="border:2px solid #ff00ff;">
* ... is the apgcode of the [[tub]] (xs4_252).
* ... is 10 choose 5, which means it's the number of ways to choose five B3, B5, S3, or S5 transitions out of 10.
</div>

===253===
<div style="border:2px solid #ff00ff;">
* ... is the period of one [[R-pentomino hasslers#p253|R-pentomino hassler]].
* ... is the apgcode of the [[boat]] (xs5_253).
* ... is the [[lifespan]] of the [[R-pentomino]] in [[Pedestrian Life]].
</div>

===254===
<div style="border:2px solid #ff00ff;">
* ... is the period of the following partial that will be completed when a p127 domino sparker is found:
{{EmbedViewer
|rle = x = 43, y = 31, rule = B3/S23
5bo31bo$3bo2bo5bo17bo5bo2bo$o2bo3bo2bobo17bobo2bo3bo2bo$obo3bo3bobo17b
obo3bo3bobo$3b3o4bo21bo4b3o$3b3o5bobo15bobo5b3o2$11b3o15b3o3$12b2o5b2o
b2o5b2o$11b2obo5bobo5bob2o$11bo2bo5bobo5bo2bo$11b3o5b2ob2o5b3o$12b2o
15b2o2$12b2o15b2o$11b3o5b2ob2o5b3o$11bo2bo5bobo5bo2bo$11b2obo5bobo5bob
2o$12b2o5b2ob2o5b2o3$11b3o15b3o2$3b3o5bobo15bobo5b3o$3b3o4bo21bo4b3o$o
bo3bo3bobo17bobo3bo3bobo$o2bo3bo2bobo17bobo2bo3bo2bo$3bo2bo5bo17bo5bo
2bo$5bo31bo!
|position = center
|viewerconfig = #C [[ GPS 60 THUMBSIZE 2 ]]
}}
</div>

===255===
<div style="border:2px solid #ff00ff;">
* ... is the maximum number of "on" states in Golly.
* ... is the history envelope size of o$o$o3bo$b3o!, ranked #37 in census.rle.
</div>

===256===
<div style="border:2px solid #ff00ff;">
* ... is the bounding box area of a typical asymmetric Catagolue soup.
* ... is the maximum number of states in Golly.
* ... is the recovery time of the [[switch engine channel]].
* ... is the index of the sequence that is the active region of [[52P44]] in census.rle, zero-indexed.
</div>

===257===
<div style="border:2px solid blue;">
* ... is the minimum population of [[Soba]].
</div>

===258===
<div style="border:2px solid #ff00ff;">
* ... was at one time the number of specified on cells needed for the solution to the [[unique father problem]].
* ... is the minimum population of [[258P3]].
</div>

===260===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population and in the name of [[sawtooth 260]].
</div>

===262===
<div style="border:2px solid #ff00ff;">
* ... is the step time of [[Rx262]].
* ... is the lifespan of a 38×1 rectangle.
</div>

===264===
<div style="border:2px solid #ff00ff;">
* ... is the period of the period-sextupled [[p44 pi-heptomino hassler]].
</div>

===268===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[R-turner]].
</div>

===270===
<div style="border:2px solid #ff00ff;">
* ... is the recovery time of [[bronco]].
* ... is three 90° turns.
</div>

===271===
<div style="border:2px solid blue;">
* ... is the recovery time of [[Bx222]], [[Entity Valkyrie]]'s worst enemy.
* ... is currently the number of specified cells (on or off) needed for the solution to the [[unique father problem]].
</div>

===272===
<div style="border:2px solid #ff00ff;">
* ... is the final population of a 33×1 rectangle.
</div>

===274===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of 3bo$2bobo$bo2bo$o2bo$bo!, ranked #63 in census.rle.
</div>

===276===
<div style="border:2px solid #ff00ff;">
* ... is the period of one specific [[TL+G]] shuttle.
* ... is the lifespan of a 39×1 rectangle.
</div>

===279===
<div style="border:2px solid #ff00ff;">
* ... is the number of 14-cell pseudo still lifes.
* ... is the final population of the "glider hits blinker" methuselah.{{citation needed}}
</div>

===≈279.7===
<div style="border:2px solid red;">
* ... is the approximate inverse frequency of the [[long boat]] [[Catagolue]]'s C1 census.
</div>

===280===
<div style="border:2px solid #ff00ff;">
* ... is the period of the [[p280 U-turner hassler]].
</div>

===281===
<div style="border:2px solid blue;">
* ... is the index of the tub+queen bee found in the [[p576 R-pentomino hassler]] in census.rle, zero-indexed
</div>

===282===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population Sir Robin.
* ... is the period of one glider shuttle in DRH-oscillators.
</div>

===286===
<div style="border:2px solid #ff00ff;">
* ... is 13 choose 3 (and also 13 choose 10), which means it's the number of ways to choose three or ten B4 or S4 transitions out of 13.
</div>

===287===
<div style="border:2px solid #ff00ff;">
* ... is a factor of 2009, part of [[User:Haycat2009|Haycat2009]]'s username.
</div>

===288===
<div style="border:2px solid #ff00ff;">
* ... is found in the apgcode of a linear growth pattern: yl288.
* ... is the minimum population of the [[R-pentomino hasslers#p560|p560 R-pentomino hassler]].
</div>

===289===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[7-in-a-row Cordership]].
* ... is the history envelope size of bo$obo$bob3o!, ranked #45 in census.rle.
</div>

===2602/9 (≈289.11)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of the glider-blinker mess.
</div>

===292===
<div style="border:2px solid #ff00ff;">
* ... is the number of generations it takes for 6b3ob3o$5bo$9bo2$6b3o$4b3o2$3bo$7bo$3ob3o! to reform itself (plus a lot of junk).
* ... is the final population of a 41×1 rectangle, using the minimum phase.
</div>

===293===
<div style="border:2px solid blue;">
* ... is the total number of stars given in [[POTY]] 2016.
</div>

===294===
<div style="border:2px solid #ff00ff;">
* ... is the index of the longest-lasting non-glider-emitting 3G collision in census.rle, zero-indexed. It also has its own thread from a new member.
</div>

===295===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of 295P5H1V1.
</div>

===296===
<div style="border:2px solid #ff00ff;">
* ... is the index of Thompson's methuselah in census.rle, zero-indexed.
</div>

===298===
<div style="border:2px solid #ff00ff;">
* ... is the number of blocks that [[42100M]] produces.
</div>

===299===
<div style="border:2px solid #ff00ff;">
* ... is the number of matches for the [[bakery]] in [[octo3obj]].
</div>

===300===
<div style="border:2px solid #ff00ff;">
* ... is the smallest "bin" that Catagolue recognises for megasized (300h).
* ... is the period of one particular [[Traffic light hasslers#p300|traffic light shuttle]].
</div>

===303===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[caber tosser 1]].
* ... is a factor of 606, found (with slight variation) in the username eRroR_6o6.
</div>

===305===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[pi orbital]].
</div>

===306===
<div style="border:2px solid #ff00ff;">
* ... was the minimum population for the smallest [[unconstructible still life]] when first found.
</div>

===308===
<div style="border:2px solid #ff00ff;">
* ... is the maximum population of [[Sir Robin]].
</div>

===310===
<div style="border:2px solid #ff00ff;">
* ... is the period of a (60,20)c/310 puffer in B3/S236i.
</div>

===42100/135 (≈311.85)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[42100M]].
</div>

===311===
<div style="border:2px solid blue;">
* ... appears in [[apgcode]]s related to [[leg]]s.
</div>

===312===
<div style="border:2px solid #ff00ff;">
* ... is the period of [[60P312]].
* ... appears in [[apgcode]]s related to [[hook]]s.
</div>

===313===
<div style="border:2px solid blue;">
* ... is the minimum population of [[Anura]].
</div>

===314===
<div style="border:2px solid #ff00ff;">
* ... is in the username of simsim314 ([[Michael Simkin]]) and Mathemagician314.
</div>

===316===
<div style="border:2px solid #ff00ff;">
* ... is the number of octominoes with no symmetry of any kind.
</div>

==[317,1000)==

===317===
<div style="border:2px solid blue;">
* ... is the number of blinkers that the methuselah [[42100M]] produces.
</div>

===318===
<div style="border:2px solid #ff00ff">
* ... is a dead giveaway that a stable pattern contains a [[beacon]] if it appears in an apgcode.
</div>

===≈319.31===
<div style="border:2px solid red;">
* ... is the inverse frequency of the [[long boat]] in a C1 Catagolue soup.
</div>

===321===
<div style="border:2px solid #ff00ff">
* ... very commonly appears in [[apgcode]]s.
* ... is the number of gliders in the Borg [[salvo]].
</div>

===322===
<div style="border:2px solid #ff00ff;">
* ... is the period of a specific C2-symmetric pi reaction that is self-sustaining when a single block is removed. https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=132962&hilit=p322#p132971
</div>

===324===
<div style="border:2px solid #ff00ff;">
* ... is the bounding box (36×9) of the [[Gosper glider gun]], the smallest known gun by bounding box.
* ... is the minimum population of the [[13-engine Cordership]].
* ... is the period of one known [[long bun]] hassler.
</div>

===326===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of the [[p48 toad hassler]].
</div>

===42883/131 (≈327.4)===
<div style="border:2px solid orange;">
* ... is the L/MCPS of [[Homer]].
</div>

===329===
<div style="border:2px solid #ff00ff;">
* ... is the history envelope size of the [[U-turner]].
</div>

===330===
<div style="border:2px solid #ff00ff;">
* ... appears in apgcodes that use blocks as induction coils.
</div>

===331===
<div style="border:2px solid blue;">
* ... is the total number of stars given in OCA [[DOTY]] 2018.
</div>

===332===
<div style="border:2px solid #ff00ff;">
* ... is the history envelope size of bo$3o3$5b2o$5bo!, #32 in census.rle.
* ... is the population of the [[p4 reflector]].
</div>

===333===
<div style="border:2px solid #ff00ff;">
* ... is in the username erictom333.
* ... is a factor of 41625, found in the username lemon41625.
</div>

===336===
<div style="border:2px solid #ff00ff;">
* ... is the census.rle index of the active region in Beluchenko's p40, zero-indexed.
</div>

===339===
<div style="border:2px solid #ff00ff;">
* ... is the minimum population of [[339P7H1V0]].
</div>

===343===
<div style="border:2px solid #ff00ff;">
* ... is the lifespan of the [[E-heptomino]].
</div>

===343 2/7===
<div style="border:2px solid orange;">
* ... is the average population of [[Anura]].
</div>

===345===
<div style="border:2px solid #ff00ff;">
* ... is the period of a specific p69 R-pentomino hassler that has no known stable supports but can be stabilized via [[Karel's p15]].
</div>



==See also==
*[[Integer sequences]]

==References==
<references />

==External links==
{{LinkForumThread|f=12|t=4810|title=Fun Facts}}

User:Pzq Alex/List of Chinese on the forums

2024-11-10T13:33:23Z

CurrentNews: Undo - Proof needed) (----

{{Ambox|text=This article needs to be expanded with: '''Proof that they should be listed here.'''}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1051 wieeiwwieeiw] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1287 Bullet51] (p15159)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1357 unname66609] (p15154)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1470 PHPBB12345] {{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1592 shouldsee] (p40916)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1633 72c20e] (p43855)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1660 testitemqlstudop] (p74105)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1664 GUYTU6J] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1838 Hunting] (Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1846 AlephAlpha] (alephalpha.github.io)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2162 FWKnightship] (p95650, indirectly)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2322 yujh] (p130468)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2342 Dylan Chen] (p130460)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2608 YYDH](Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2637 shuich01]{{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2640 ColorfulGabrielsp138] (formerly ColorfulGalaxy)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2680 pzq_alex] (p135369)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2723 fast_photon] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2784 Ohhhhhhhhh] (p135032)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2037 Random life lover] (Occupation)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2940 samas3] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3637 islptng] (Location; 本人留下的,真实可信)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3639 pifricted] (是真的。)

== Suspections ==
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2649 FWCamelship]
* LittleLWSS (u=3680) (Location)
* tennisplayer (u=1556)
* wln2024 (u=3733)

== See also ==
* [[User:77topaz/Forum handles table]]

User:CurrentNews

2024-11-07T13:35:40Z

CurrentNews: New rule

* '''November 7, 2024''': ColorfulGalaxy discovered a variant of [[Koenig]]'s [[Colourised Life]] that uses modular arithmetic instead of rational number arithmetic to determine the new cell's color. A computer program has been written to generate [[rule table]]s for these rules.
* '''October~November 2024''': [[ColorfulGalaxy]] started the "[[OCA]] [[One per generation|1CPG]]" project, which features [[linear growth]] [[pattern]]s growing by exactly one cell per generation. The discoveries include:
** On October 24, ColorfulGalaxy found two [[gun]]-based patterns: one of them consists of six [[Gosper glider gun]]s, one [[Scot's p5]] [[oscillator]], two [[harbor]]s and seventeen [[chemist]]s, which runs in multiple rules ranging from [[Life]] to [[B37c8/S238]]; the other runs in [[tlife]].
** On October 24, ColorfulGalaxy noticed that the [[bullet heptomino]] grows similarly in rule [[B1e/S012345678]]. It was later reduced to 6 cells on November 1, then finally to 5 cells ([[P-pentomino]]) on the following day.
** On October 24, ColorfulGalaxy found a pattern consisting of a gun and an oscillator in [[Wilfred]].
** On October 24, ColorfulGalaxy assembled a [[One per generation]] pattern using six copies of a [[wire]] [[extruder]] in the [[multistate rule]] [[JvN29]].
** On October 24, ColorfulGalaxy assembled a [[One per generation]] pattern using two copies of a [[c/4 diagonal]] [[tubstretcher]] in [[VesselLife]].
** On October 25, ColorfulGalaxy assembled a [[One per generation]] pattern using an eight-[[barrel]] [[glider gun]] built from a simple [[duplicator]], plus five copies of a particular [[period]]-5 oscillator in rule [[Glitter^2]].
** On November 1, ColorfulGalaxy assembled a [[One per generation]] pattern using two copies of a [[c/2]] [[orthogonal]] [[wickstretcher]] in [[FWKnightship]]'s multistate rule "SoManyShips2".
** On November 1, ColorfulGalaxy proved that at least 3.1% of all non-[[strobing]] [[HROT|range]]-1 [[outer-totalistic]] [[Generations]] rules have a [[One per generation]] pattern. To be more exact, these patterns are [[light speed]] [[wave]][[stretcher]]s.
** On November 2, [[FWKnightship]] discovered a 3-cell [[One per generation]] pattern in rule [[B2a3n/S01c2c]]. This is the smallest known in an [[isotropic]] rule.
** On November 3, ColorfulGalaxy assembled a [[One per generation]] pattern in [[BokaBB]]'s rule [[Traffic Flow]].
* '''August 8, 2024''': [[ColorfulGalaxy]] built an [[isotropic]] [[non-totalistic]] [[Colourised Life]] [[rule]] where all live states are treated equally, and [[parent cells]] of three different colors do not generate a fourth color.

* '''April 12, 2022''': [[iNoMed]], [[David Raucci]] and [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=144139#p144139 assemble] a new-record smallest [[period-36 glider gun]] using only one engine

Rule:ColourisedDryLife27s

2024-11-07T05:09:12Z

CurrentNews:

@RULE ColourisedLife27s
{{Move}}{{Outdated}}
[[Colourised Life]]

Survival does not change state.

The colors are taken from Omniglot's colorAlphabet, except that Q and space are swapped.

<pre>#include <cstdio>
#include <cstring>
int a[7];
int d[7];
int main(){
for(d[0]=0;d[0]<=4;++d[0])
for(d[1]=d[0]+1;d[1]<=5;++d[1])
for(d[2]=d[1]+1;d[2]<=6;++d[2]){
memset(a,0,sizeof(a));
a[d[0]]=1;a[d[1]]=2;a[d[2]]=3;
printf("0,l%d,l%d,l%d,l%d,l%d,l%d,l%d,0,l1\n",a[0]+1,a[1]+1,a[2]+1,a[3]+1,a[4]+1,a[5]+1,a[6]+1);
}
return 0;}</pre>
<pre>#include <cstdio>
#include <cstring>
int a[7];
int d[7];
int main(){
for(d[0]=0;d[0]<=4;++d[0])
for(d[1]=d[0]+1;d[1]<=5;++d[1])
for(d[2]=d[1]+1;d[2]<=6;++d[2])
for(d[3]=0;d[3]<=6;++d[3]){
if(d[3]==d[0]||d[3]==d[1]||d[3]==d[2])continue;
memset(a,0,sizeof(a));
a[d[0]]=1;a[d[1]]=1;a[d[2]]=1;a[d[3]]=2;
printf("0,l%d,l%d,l%d,l%d,l%d,l%d,l%d,0,l%d\n",a[0]+1,a[1]+1,a[2]+1,a[3]+1,a[4]+1,a[5]+1,a[6]+1,a[3]+1);
}
return 0;}</pre>
<pre>#include <cstdio>
#include <cstring>
int a[7];
int d[7];
int main(){
for(d[0]=0;d[0]<=3;++d[0])
for(d[1]=d[0]+1;d[1]<=4;++d[1])
for(d[2]=d[1]+1;d[2]<=5;++d[2])
for(d[3]=d[2]+1;d[3]<=6;++d[3]){
memset(a,0,sizeof(a));
a[d[0]]=1;a[d[1]]=2;a[d[2]]=3;a[d[3]]=4;
printf("0,l%d,l%d,l%d,l%d,l%d,l%d,l%d,0,l1\n",a[0]+1,a[1]+1,a[2]+1,a[3]+1,a[4]+1,a[5]+1,a[6]+1);
}
return 0;}</pre>
<pre>#include <cstdio>
char c[80];
int main(){
while(1){
scanf("%s",c);
printf("%s\n%s\n%s\n",c,c,c);
}
return 0;}</pre>
<pre>#include <cstdio>
#include <cstring>
int a[7];
int d[7];
int main(){
for(d[0]=0;d[0]<=3;++d[0])
for(d[1]=d[0]+1;d[1]<=4;++d[1])
for(d[2]=d[1]+1;d[2]<=5;++d[2])
for(d[3]=d[2]+1;d[3]<=6;++d[3]){
memset(a,0,sizeof(a));
a[d[0]]=1;a[d[1]]=2;a[d[2]]=3;a[d[3]]=4;
if(a[3])continue;
printf("0,l%d,l%d,l%d,l1,l%d,l%d,l%d,0,l2\n",a[0]+2,a[1]+2,a[2]+2,a[4]+2,a[5]+2,a[6]+2);
}
return 0;}</pre>
<pre>#include <pythoninterpreter>
while(1):
a=input() # converting B7c to B7e
b=list(a)
b.pop(23)
b.pop(23)
c=''.join(b)
print('0,'+c)</pre>

@TABLE n_states:27 neighborhood:Moore symmetries:rotate4reflect
</p><p>var l={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26}
var l1=l
var l2=l
var l3=l
var l4=l
var l5=l
var l6=l
var l7=l
var l8=l

# B3a
0,l1,l1,l1,0,0,0,0,0,l1
0,l1,l1,l2,0,0,0,0,0,l1
0,l1,l2,l1,0,0,0,0,0,l1
0,l2,l1,l1,0,0,0,0,0,l1
0,l1,l2,l3,0,0,0,0,0,l2

# B3c
0,0,l1,0,l1,0,l1,0,0,l1
0,0,l1,0,l1,0,l2,0,0,l1
0,0,l1,0,l2,0,l1,0,0,l1
0,0,l2,0,l1,0,l1,0,0,l1
0,0,l1,0,l2,0,l3,0,0,l2

# B3e
0,l1,0,l1,0,l1,0,0,0,l1
0,l1,0,l1,0,l2,0,0,0,l1
0,l1,0,l2,0,l1,0,0,0,l1
0,l2,0,l1,0,l1,0,0,0,l1
0,l1,0,l2,0,l3,0,0,0,l2

# B3i
0,0,l1,l1,l1,0,0,0,0,l1
0,0,l1,l1,l2,0,0,0,0,l1
0,0,l1,l2,l1,0,0,0,0,l1
0,0,l2,l1,l1,0,0,0,0,l1
0,0,l1,l2,l3,0,0,0,0,l2

# B3j
0,l1,0,l1,l1,0,0,0,0,l1
0,l1,0,l1,l2,0,0,0,0,l1
0,l1,0,l2,l1,0,0,0,0,l1
0,l2,0,l1,l1,0,0,0,0,l1
0,l1,0,l2,l3,0,0,0,0,l3

# B3k
0,l1,0,l1,0,0,l1,0,0,l1
0,l1,0,l1,0,0,l2,0,0,l1
0,l1,0,l2,0,0,l1,0,0,l1
0,l2,0,l1,0,0,l1,0,0,l1
0,l1,0,l2,0,0,l3,0,0,l3

# B3n
0,l1,l1,0,l1,0,0,0,0,l1
0,l1,l1,0,l2,0,0,0,0,l1
0,l1,l2,0,l1,0,0,0,0,l1
0,l2,l1,0,l1,0,0,0,0,l1
0,l1,l2,0,l3,0,0,0,0,l1

# B3q
0,l1,l1,0,0,0,l1,0,0,l1
0,l1,l1,0,0,0,l2,0,0,l1
0,l1,l2,0,0,0,l1,0,0,l1
0,l2,l1,0,0,0,l1,0,0,l1
0,l1,l2,0,0,0,l3,0,0,l1

# B3r
0,l1,l1,0,0,l1,0,0,0,l1
0,l1,l1,0,0,l2,0,0,0,l1
0,l1,l2,0,0,l1,0,0,0,l1
0,l2,l1,0,0,l1,0,0,0,l1
0,l1,l2,0,0,l3,0,0,0,l2

# B3y
0,l1,0,0,l1,0,l1,0,0,l1
0,l1,0,0,l1,0,l2,0,0,l1
0,l1,0,0,l2,0,l1,0,0,l1
0,l2,0,0,l1,0,l1,0,0,l1
0,l1,0,0,l2,0,l3,0,0,l1

# B7c - there may be other colourising plan
0,l1,l1,l1,l1,l1,l1,l1,0,l1
0,l1,l1,l1,l1,l1,l1,l2,0,l1
0,l1,l1,l1,l1,l1,l2,l1,0,l1
0,l1,l1,l1,l1,l2,l1,l1,0,l1
0,l1,l1,l1,l2,l1,l1,l1,0,l1
0,l2,l3,l4,l1,l1,l1,l1,0,l1 # 4:1:1:1, 4:2:1, 5:1:1, etc.
0,l2,l3,l1,l4,l1,l1,l1,0,l1
0,l2,l3,l1,l1,l4,l1,l1,0,l1
0,l2,l3,l1,l1,l1,l4,l1,0,l1
0,l2,l3,l1,l1,l1,l1,l4,0,l1
0,l2,l1,l3,l4,l1,l1,l1,0,l1
0,l2,l1,l3,l1,l4,l1,l1,0,l1
0,l2,l1,l3,l1,l1,l4,l1,0,l1
0,l2,l1,l3,l1,l1,l1,l4,0,l1
0,l2,l1,l1,l3,l4,l1,l1,0,l1
0,l2,l1,l1,l3,l1,l4,l1,0,l1
0,l2,l1,l1,l3,l1,l1,l4,0,l1
0,l2,l1,l1,l1,l3,l4,l1,0,l1
0,l2,l1,l1,l1,l3,l1,l4,0,l1
0,l2,l1,l1,l1,l1,l3,l4,0,l1
0,l1,l2,l3,l4,l1,l1,l1,0,l1
0,l1,l2,l3,l1,l4,l1,l1,0,l1
0,l1,l2,l3,l1,l1,l4,l1,0,l1
0,l1,l2,l3,l1,l1,l1,l4,0,l1
0,l1,l2,l1,l3,l4,l1,l1,0,l1
0,l1,l2,l1,l3,l1,l4,l1,0,l1
0,l1,l2,l1,l3,l1,l1,l4,0,l1
0,l1,l2,l1,l1,l3,l4,l1,0,l1
0,l1,l2,l1,l1,l3,l1,l4,0,l1
0,l1,l2,l1,l1,l1,l3,l4,0,l1
0,l1,l1,l2,l3,l4,l1,l1,0,l1
0,l1,l1,l2,l3,l1,l4,l1,0,l1
0,l1,l1,l2,l3,l1,l1,l4,0,l1
0,l1,l1,l2,l1,l3,l4,l1,0,l1
0,l1,l1,l2,l1,l3,l1,l4,0,l1
0,l1,l1,l2,l1,l1,l3,l4,0,l1
0,l1,l1,l1,l2,l3,l4,l1,0,l1
0,l1,l1,l1,l2,l3,l1,l4,0,l1
0,l1,l1,l1,l2,l1,l3,l4,0,l1
0,l1,l1,l1,l1,l2,l3,l4,0,l1
0,l2,l2,l2,l3,l1,l1,l1,0,l3 # 3:3:1
0,l2,l2,l2,l1,l3,l1,l1,0,l1
0,l2,l2,l2,l1,l1,l3,l1,0,l1
0,l2,l2,l2,l1,l1,l1,l3,0,l1
0,l2,l2,l3,l2,l1,l1,l1,0,l2
0,l2,l2,l1,l2,l3,l1,l1,0,l2
0,l2,l2,l1,l2,l1,l3,l1,0,l2
0,l2,l2,l1,l2,l1,l1,l3,0,l2
0,l2,l2,l3,l1,l2,l1,l1,0,l1
0,l2,l2,l1,l3,l2,l1,l1,0,l3
0,l2,l2,l1,l1,l2,l3,l1,0,l1
0,l2,l2,l1,l1,l2,l1,l3,0,l1
0,l2,l2,l3,l1,l1,l2,l1,0,l1
0,l2,l2,l1,l3,l1,l2,l1,0,l3
0,l2,l2,l1,l1,l3,l2,l1,0,l1
0,l2,l2,l1,l1,l1,l2,l3,0,l1
0,l2,l2,l3,l1,l1,l1,l2,0,l1
0,l2,l2,l1,l3,l1,l1,l2,0,l3
0,l2,l2,l1,l1,l3,l1,l2,0,l1
0,l2,l2,l1,l1,l1,l3,l2,0,l1
0,l2,l3,l2,l2,l1,l1,l1,0,l2
0,l2,l1,l2,l2,l3,l1,l1,0,l2
0,l2,l1,l2,l2,l1,l3,l1,0,l2
0,l2,l1,l2,l2,l1,l1,l3,0,l2
0,l2,l3,l2,l1,l2,l1,l1,0,l1
0,l2,l1,l2,l3,l2,l1,l1,0,l3
0,l2,l1,l2,l1,l2,l3,l1,0,l1
0,l2,l1,l2,l1,l2,l1,l3,0,l1
0,l2,l3,l2,l1,l1,l2,l1,0,l1
0,l2,l1,l2,l3,l1,l2,l1,0,l3
0,l2,l1,l2,l1,l3,l2,l1,0,l1
0,l2,l1,l2,l1,l1,l2,l3,0,l1
0,l2,l3,l2,l1,l1,l1,l2,0,l1
0,l2,l1,l2,l3,l1,l1,l2,0,l3
0,l2,l1,l2,l1,l3,l1,l2,0,l1
0,l2,l1,l2,l1,l1,l3,l2,0,l1
0,l2,l3,l1,l2,l2,l1,l1,0,l2
0,l2,l1,l3,l2,l2,l1,l1,0,l2
0,l2,l1,l1,l2,l2,l3,l1,0,l2
0,l2,l1,l1,l2,l2,l1,l3,0,l2
0,l2,l3,l1,l2,l1,l2,l1,0,l2
0,l2,l1,l3,l2,l1,l2,l1,0,l2
0,l2,l1,l1,l2,l3,l2,l1,0,l2
0,l2,l1,l1,l2,l1,l2,l3,0,l2
0,l2,l3,l1,l2,l1,l1,l2,0,l2
0,l2,l1,l3,l2,l1,l1,l2,0,l2
0,l2,l1,l1,l2,l3,l1,l2,0,l2
0,l2,l1,l1,l2,l1,l3,l2,0,l2
0,l2,l3,l1,l1,l2,l2,l1,0,l1
0,l2,l1,l3,l1,l2,l2,l1,0,l1
0,l2,l1,l1,l3,l2,l2,l1,0,l3
0,l2,l1,l1,l1,l2,l2,l3,0,l1
0,l2,l3,l1,l1,l2,l1,l2,0,l1
0,l2,l1,l3,l1,l2,l1,l2,0,l1
0,l2,l1,l1,l3,l2,l1,l2,0,l3
0,l2,l1,l1,l1,l2,l3,l2,0,l1
0,l2,l3,l1,l1,l1,l2,l2,0,l1
0,l2,l1,l3,l1,l1,l2,l2,0,l1
0,l2,l1,l1,l3,l1,l2,l2,0,l3
0,l2,l1,l1,l1,l3,l2,l2,0,l1
0,l3,l2,l2,l2,l1,l1,l1,0,l2
0,l1,l2,l2,l2,l3,l1,l1,0,l2
0,l1,l2,l2,l2,l1,l3,l1,0,l2
0,l1,l2,l2,l2,l1,l1,l3,0,l2
0,l3,l2,l2,l1,l2,l1,l1,0,l1
0,l1,l2,l2,l3,l2,l1,l1,0,l3
0,l1,l2,l2,l1,l2,l3,l1,0,l1
0,l1,l2,l2,l1,l2,l1,l3,0,l1
0,l3,l2,l2,l1,l1,l2,l1,0,l1
0,l1,l2,l2,l3,l1,l2,l1,0,l3
0,l1,l2,l2,l1,l3,l2,l1,0,l1
0,l1,l2,l2,l1,l1,l2,l3,0,l1
0,l3,l2,l2,l1,l1,l1,l2,0,l1
0,l1,l2,l2,l3,l1,l1,l2,0,l3
0,l1,l2,l2,l1,l3,l1,l2,0,l1
0,l1,l2,l2,l1,l1,l3,l2,0,l1
0,l3,l2,l1,l2,l2,l1,l1,0,l2
0,l1,l2,l3,l2,l2,l1,l1,0,l2
0,l1,l2,l1,l2,l2,l3,l1,0,l2
0,l1,l2,l1,l2,l2,l1,l3,0,l2
0,l3,l2,l1,l2,l1,l2,l1,0,l2
0,l1,l2,l3,l2,l1,l2,l1,0,l2
0,l1,l2,l1,l2,l3,l2,l1,0,l2
0,l1,l2,l1,l2,l1,l2,l3,0,l2
0,l3,l2,l1,l2,l1,l1,l2,0,l2
0,l1,l2,l3,l2,l1,l1,l2,0,l2
0,l1,l2,l1,l2,l3,l1,l2,0,l2
0,l1,l2,l1,l2,l1,l3,l2,0,l2
0,l3,l2,l1,l1,l2,l2,l1,0,l1
0,l1,l2,l3,l1,l2,l2,l1,0,l1
0,l1,l2,l1,l3,l2,l2,l1,0,l3
0,l1,l2,l1,l1,l2,l2,l3,0,l1
0,l3,l2,l1,l1,l2,l1,l2,0,l1
0,l1,l2,l3,l1,l2,l1,l2,0,l1
0,l1,l2,l1,l3,l2,l1,l2,0,l3
0,l1,l2,l1,l1,l2,l3,l2,0,l1
0,l3,l2,l1,l1,l1,l2,l2,0,l1
0,l1,l2,l3,l1,l1,l2,l2,0,l1
0,l1,l2,l1,l3,l1,l2,l2,0,l3
0,l1,l2,l1,l1,l3,l2,l2,0,l1
0,l3,l1,l2,l2,l2,l1,l1,0,l2
0,l1,l3,l2,l2,l2,l1,l1,0,l2
0,l1,l1,l2,l2,l2,l3,l1,0,l2
0,l1,l1,l2,l2,l2,l1,l3,0,l2
0,l3,l1,l2,l2,l1,l2,l1,0,l2
0,l1,l3,l2,l2,l1,l2,l1,0,l2
0,l1,l1,l2,l2,l3,l2,l1,0,l2
0,l1,l1,l2,l2,l1,l2,l3,0,l2
0,l3,l1,l2,l2,l1,l1,l2,0,l2
0,l1,l3,l2,l2,l1,l1,l2,0,l2
0,l1,l1,l2,l2,l3,l1,l2,0,l2
0,l1,l1,l2,l2,l1,l3,l2,0,l2
0,l3,l1,l2,l1,l2,l2,l1,0,l1
0,l1,l3,l2,l1,l2,l2,l1,0,l1
0,l1,l1,l2,l3,l2,l2,l1,0,l3
0,l1,l1,l2,l1,l2,l2,l3,0,l1
0,l3,l1,l2,l1,l2,l1,l2,0,l1
0,l1,l3,l2,l1,l2,l1,l2,0,l1
0,l1,l1,l2,l3,l2,l1,l2,0,l3
0,l1,l1,l2,l1,l2,l3,l2,0,l1
0,l3,l1,l2,l1,l1,l2,l2,0,l1
0,l1,l3,l2,l1,l1,l2,l2,0,l1
0,l1,l1,l2,l3,l1,l2,l2,0,l3
0,l1,l1,l2,l1,l3,l2,l2,0,l1
0,l3,l1,l1,l2,l2,l2,l1,0,l2
0,l1,l3,l1,l2,l2,l2,l1,0,l2
0,l1,l1,l3,l2,l2,l2,l1,0,l2
0,l1,l1,l1,l2,l2,l2,l3,0,l2
0,l3,l1,l1,l2,l2,l1,l2,0,l2
0,l1,l3,l1,l2,l2,l1,l2,0,l2
0,l1,l1,l3,l2,l2,l1,l2,0,l2
0,l1,l1,l1,l2,l2,l3,l2,0,l2
0,l3,l1,l1,l2,l1,l2,l2,0,l2
0,l1,l3,l1,l2,l1,l2,l2,0,l2
0,l1,l1,l3,l2,l1,l2,l2,0,l2
0,l1,l1,l1,l2,l3,l2,l2,0,l2
0,l3,l1,l1,l1,l2,l2,l2,0,l1
0,l1,l3,l1,l1,l2,l2,l2,0,l1
0,l1,l1,l3,l1,l2,l2,l2,0,l1
0,l1,l1,l1,l3,l2,l2,l2,0,l3
0,l2,l3,l4,l5,l1,l1,l1,0,l1 # 3 of a kind: other cases
0,l2,l3,l4,l1,l5,l1,l1,0,l1
0,l2,l3,l4,l1,l1,l5,l1,0,l1
0,l2,l3,l4,l1,l1,l1,l5,0,l1
0,l2,l3,l1,l4,l5,l1,l1,0,l1
0,l2,l3,l1,l4,l1,l5,l1,0,l1
0,l2,l3,l1,l4,l1,l1,l5,0,l1
0,l2,l3,l1,l1,l4,l5,l1,0,l1
0,l2,l3,l1,l1,l4,l1,l5,0,l1
0,l2,l3,l1,l1,l1,l4,l5,0,l1
0,l2,l1,l3,l4,l5,l1,l1,0,l1
0,l2,l1,l3,l4,l1,l5,l1,0,l1
0,l2,l1,l3,l4,l1,l1,l5,0,l1
0,l2,l1,l3,l1,l4,l5,l1,0,l1
0,l2,l1,l3,l1,l4,l1,l5,0,l1
0,l2,l1,l3,l1,l1,l4,l5,0,l1
0,l2,l1,l1,l3,l4,l5,l1,0,l1
0,l2,l1,l1,l3,l4,l1,l5,0,l1
0,l2,l1,l1,l3,l1,l4,l5,0,l1
0,l2,l1,l1,l1,l3,l4,l5,0,l1
0,l1,l2,l3,l4,l5,l1,l1,0,l1
0,l1,l2,l3,l4,l1,l5,l1,0,l1
0,l1,l2,l3,l4,l1,l1,l5,0,l1
0,l1,l2,l3,l1,l4,l5,l1,0,l1
0,l1,l2,l3,l1,l4,l1,l5,0,l1
0,l1,l2,l3,l1,l1,l4,l5,0,l1
0,l1,l2,l1,l3,l4,l5,l1,0,l1
0,l1,l2,l1,l3,l4,l1,l5,0,l1
0,l1,l2,l1,l3,l1,l4,l5,0,l1
0,l1,l2,l1,l1,l3,l4,l5,0,l1
0,l1,l1,l2,l3,l4,l5,l1,0,l1
0,l1,l1,l2,l3,l4,l1,l5,0,l1
0,l1,l1,l2,l3,l1,l4,l5,0,l1
0,l1,l1,l2,l1,l3,l4,l5,0,l1
0,l1,l1,l1,l2,l3,l4,l5,0,l1
0,l1,l2,l3,l1,l4,l5,l6,0,l1 # Pair with one taking the tip
0,l1,l2,l3,l2,l4,l5,l6,0,l2
0,l1,l2,l3,l3,l4,l5,l6,0,l3
0,l2,l5,l3,l1,l3,l5,l2,0,l1 # 3 pairs
0,l2,l5,l3,l1,l3,l2,l5,0,l1
0,l2,l5,l3,l1,l2,l5,l3,0,l1
0,l2,l5,l3,l1,l2,l3,l5,0,l1
0,l2,l5,l3,l1,l5,l2,l3,0,l1
0,l2,l5,l3,l1,l5,l3,l2,0,l1
0,l2,l2,l5,l1,l5,l3,l3,0,l1
0,l2,l2,l5,l1,l3,l5,l3,0,l1
0,l2,l2,l5,l1,l3,l3,l5,0,l1
0,l2,l5,l2,l1,l3,l5,l3,0,l1
0,l2,l5,l2,l1,l3,l3,l5,0,l1
0,l5,l2,l2,l1,l3,l3,l5,0,l1
0,l2,l5,l3,l1,l4,l5,l2,0,l1 # 2 pairs
0,l2,l5,l3,l1,l3,l4,l2,0,l1
0,l2,l5,l3,l1,l3,l5,l4,0,l1
0,l2,l5,l3,l1,l4,l2,l5,0,l1
0,l2,l5,l3,l1,l3,l4,l5,0,l1
0,l2,l5,l3,l1,l3,l2,l4,0,l1
0,l2,l5,l3,l1,l4,l5,l3,0,l1
0,l2,l5,l3,l1,l2,l4,l3,0,l1
0,l2,l5,l3,l1,l2,l5,l4,0,l1
0,l2,l5,l3,l1,l4,l3,l5,0,l1
0,l2,l5,l3,l1,l2,l4,l5,0,l1
0,l2,l5,l3,l1,l2,l3,l4,0,l1
0,l2,l5,l3,l1,l4,l2,l3,0,l1
0,l2,l5,l3,l1,l5,l4,l3,0,l1
0,l2,l5,l3,l1,l5,l2,l4,0,l1
0,l2,l5,l3,l1,l4,l3,l2,0,l1
0,l2,l5,l3,l1,l5,l4,l2,0,l1
0,l2,l5,l3,l1,l5,l3,l4,0,l1
0,l2,l4,l5,l1,l5,l3,l3,0,l1
0,l2,l2,l5,l1,l4,l3,l3,0,l1
0,l2,l2,l5,l1,l5,l3,l4,0,l1
0,l2,l4,l5,l1,l3,l5,l3,0,l1
0,l2,l2,l5,l1,l3,l4,l3,0,l1
0,l2,l2,l5,l1,l3,l5,l4,0,l1
0,l2,l4,l5,l1,l3,l3,l5,0,l1
0,l2,l2,l5,l1,l3,l4,l5,0,l1
0,l2,l2,l5,l1,l3,l3,l4,0,l1
0,l2,l5,l4,l1,l3,l5,l3,0,l1
0,l2,l5,l2,l1,l3,l4,l3,0,l1
0,l2,l5,l2,l1,l3,l5,l4,0,l1
0,l2,l5,l4,l1,l3,l3,l5,0,l1
0,l2,l5,l2,l1,l3,l4,l5,0,l1
0,l2,l5,l2,l1,l3,l3,l4,0,l1
0,l5,l2,l4,l1,l3,l3,l5,0,l1
0,l5,l2,l2,l1,l3,l4,l5,0,l1
0,l5,l2,l2,l1,l3,l3,l4,0,l1
0,l3,l4,l5,l1,l6,l2,l2,0,l2 # Pair: other cases
0,l3,l4,l5,l1,l2,l6,l2,0,l2
0,l3,l4,l5,l1,l2,l2,l6,0,l2
0,l3,l4,l2,l1,l5,l6,l2,0,l2
0,l3,l4,l2,l1,l5,l2,l6,0,l2
0,l3,l4,l2,l1,l2,l5,l6,0,l2
0,l3,l2,l4,l1,l5,l6,l2,0,l2
0,l3,l2,l4,l1,l5,l2,l6,0,l2
0,l3,l2,l4,l1,l2,l5,l6,0,l2
0,l3,l2,l2,l1,l4,l5,l6,0,l2
0,l2,l3,l4,l1,l5,l6,l2,0,l2
0,l2,l3,l4,l1,l5,l2,l6,0,l2
0,l2,l3,l4,l1,l2,l5,l6,0,l2
0,l2,l3,l2,l1,l4,l5,l6,0,l2
0,l2,l2,l3,l1,l4,l5,l6,0,l2
0,l1,l2,l3,l4,l5,l6,l7,0,l4 # High card

# B7e
0,0,l1,l1,l1,l1,l1,l1,l1,l1
0,0,l1,l1,l1,l1,l1,l1,l2,l1
0,0,l1,l1,l1,l1,l1,l2,l1,l1
0,0,l1,l1,l1,l1,l2,l1,l1,l1
0,0,l1,l1,l1,l2,l1,l1,l1,l1
0,0,l2,l3,l4,l1,l1,l1,l1,l1 # 4:1:1:1, 4:2:1, 5:1:1, etc.
0,0,l2,l3,l1,l4,l1,l1,l1,l1
0,0,l2,l3,l1,l1,l4,l1,l1,l1
0,0,l2,l3,l1,l1,l1,l4,l1,l1
0,0,l2,l3,l1,l1,l1,l1,l4,l1
0,0,l2,l1,l3,l4,l1,l1,l1,l1
0,0,l2,l1,l3,l1,l4,l1,l1,l1
0,0,l2,l1,l3,l1,l1,l4,l1,l1
0,0,l2,l1,l3,l1,l1,l1,l4,l1
0,0,l2,l1,l1,l3,l4,l1,l1,l1
0,0,l2,l1,l1,l3,l1,l4,l1,l1
0,0,l2,l1,l1,l3,l1,l1,l4,l1
0,0,l2,l1,l1,l1,l3,l4,l1,l1
0,0,l2,l1,l1,l1,l3,l1,l4,l1
0,0,l2,l1,l1,l1,l1,l3,l4,l1
0,0,l1,l2,l3,l4,l1,l1,l1,l1
0,0,l1,l2,l3,l1,l4,l1,l1,l1
0,0,l1,l2,l3,l1,l1,l4,l1,l1
0,0,l1,l2,l3,l1,l1,l1,l4,l1
0,0,l1,l2,l1,l3,l4,l1,l1,l1
0,0,l1,l2,l1,l3,l1,l4,l1,l1
0,0,l1,l2,l1,l3,l1,l1,l4,l1
0,0,l1,l2,l1,l1,l3,l4,l1,l1
0,0,l1,l2,l1,l1,l3,l1,l4,l1
0,0,l1,l2,l1,l1,l1,l3,l4,l1
0,0,l1,l1,l2,l3,l4,l1,l1,l1
0,0,l1,l1,l2,l3,l1,l4,l1,l1
0,0,l1,l1,l2,l3,l1,l1,l4,l1
0,0,l1,l1,l2,l1,l3,l4,l1,l1
0,0,l1,l1,l2,l1,l3,l1,l4,l1
0,0,l1,l1,l2,l1,l1,l3,l4,l1
0,0,l1,l1,l1,l2,l3,l4,l1,l1
0,0,l1,l1,l1,l2,l3,l1,l4,l1
0,0,l1,l1,l1,l2,l1,l3,l4,l1
0,0,l1,l1,l1,l1,l2,l3,l4,l1
0,0,l2,l2,l2,l3,l1,l1,l1,l3 # 3:3:1
0,0,l2,l2,l2,l1,l3,l1,l1,l1
0,0,l2,l2,l2,l1,l1,l3,l1,l1
0,0,l2,l2,l2,l1,l1,l1,l3,l1
0,0,l2,l2,l3,l2,l1,l1,l1,l2
0,0,l2,l2,l1,l2,l3,l1,l1,l2
0,0,l2,l2,l1,l2,l1,l3,l1,l2
0,0,l2,l2,l1,l2,l1,l1,l3,l2
0,0,l2,l2,l3,l1,l2,l1,l1,l1
0,0,l2,l2,l1,l3,l2,l1,l1,l3
0,0,l2,l2,l1,l1,l2,l3,l1,l1
0,0,l2,l2,l1,l1,l2,l1,l3,l1
0,0,l2,l2,l3,l1,l1,l2,l1,l1
0,0,l2,l2,l1,l3,l1,l2,l1,l3
0,0,l2,l2,l1,l1,l3,l2,l1,l1
0,0,l2,l2,l1,l1,l1,l2,l3,l1
0,0,l2,l2,l3,l1,l1,l1,l2,l1
0,0,l2,l2,l1,l3,l1,l1,l2,l3
0,0,l2,l2,l1,l1,l3,l1,l2,l1
0,0,l2,l2,l1,l1,l1,l3,l2,l1
0,0,l2,l3,l2,l2,l1,l1,l1,l2
0,0,l2,l1,l2,l2,l3,l1,l1,l2
0,0,l2,l1,l2,l2,l1,l3,l1,l2
0,0,l2,l1,l2,l2,l1,l1,l3,l2
0,0,l2,l3,l2,l1,l2,l1,l1,l1
0,0,l2,l1,l2,l3,l2,l1,l1,l3
0,0,l2,l1,l2,l1,l2,l3,l1,l1
0,0,l2,l1,l2,l1,l2,l1,l3,l1
0,0,l2,l3,l2,l1,l1,l2,l1,l1
0,0,l2,l1,l2,l3,l1,l2,l1,l3
0,0,l2,l1,l2,l1,l3,l2,l1,l1
0,0,l2,l1,l2,l1,l1,l2,l3,l1
0,0,l2,l3,l2,l1,l1,l1,l2,l1
0,0,l2,l1,l2,l3,l1,l1,l2,l3
0,0,l2,l1,l2,l1,l3,l1,l2,l1
0,0,l2,l1,l2,l1,l1,l3,l2,l1
0,0,l2,l3,l1,l2,l2,l1,l1,l2
0,0,l2,l1,l3,l2,l2,l1,l1,l2
0,0,l2,l1,l1,l2,l2,l3,l1,l2
0,0,l2,l1,l1,l2,l2,l1,l3,l2
0,0,l2,l3,l1,l2,l1,l2,l1,l2
0,0,l2,l1,l3,l2,l1,l2,l1,l2
0,0,l2,l1,l1,l2,l3,l2,l1,l2
0,0,l2,l1,l1,l2,l1,l2,l3,l2
0,0,l2,l3,l1,l2,l1,l1,l2,l2
0,0,l2,l1,l3,l2,l1,l1,l2,l2
0,0,l2,l1,l1,l2,l3,l1,l2,l2
0,0,l2,l1,l1,l2,l1,l3,l2,l2
0,0,l2,l3,l1,l1,l2,l2,l1,l1
0,0,l2,l1,l3,l1,l2,l2,l1,l1
0,0,l2,l1,l1,l3,l2,l2,l1,l3
0,0,l2,l1,l1,l1,l2,l2,l3,l1
0,0,l2,l3,l1,l1,l2,l1,l2,l1
0,0,l2,l1,l3,l1,l2,l1,l2,l1
0,0,l2,l1,l1,l3,l2,l1,l2,l3
0,0,l2,l1,l1,l1,l2,l3,l2,l1
0,0,l2,l3,l1,l1,l1,l2,l2,l1
0,0,l2,l1,l3,l1,l1,l2,l2,l1
0,0,l2,l1,l1,l3,l1,l2,l2,l3
0,0,l2,l1,l1,l1,l3,l2,l2,l1
0,0,l3,l2,l2,l2,l1,l1,l1,l2
0,0,l1,l2,l2,l2,l3,l1,l1,l2
0,0,l1,l2,l2,l2,l1,l3,l1,l2
0,0,l1,l2,l2,l2,l1,l1,l3,l2
0,0,l3,l2,l2,l1,l2,l1,l1,l1
0,0,l1,l2,l2,l3,l2,l1,l1,l3
0,0,l1,l2,l2,l1,l2,l3,l1,l1
0,0,l1,l2,l2,l1,l2,l1,l3,l1
0,0,l3,l2,l2,l1,l1,l2,l1,l1
0,0,l1,l2,l2,l3,l1,l2,l1,l3
0,0,l1,l2,l2,l1,l3,l2,l1,l1
0,0,l1,l2,l2,l1,l1,l2,l3,l1
0,0,l3,l2,l2,l1,l1,l1,l2,l1
0,0,l1,l2,l2,l3,l1,l1,l2,l3
0,0,l1,l2,l2,l1,l3,l1,l2,l1
0,0,l1,l2,l2,l1,l1,l3,l2,l1
0,0,l3,l2,l1,l2,l2,l1,l1,l2
0,0,l1,l2,l3,l2,l2,l1,l1,l2
0,0,l1,l2,l1,l2,l2,l3,l1,l2
0,0,l1,l2,l1,l2,l2,l1,l3,l2
0,0,l3,l2,l1,l2,l1,l2,l1,l2
0,0,l1,l2,l3,l2,l1,l2,l1,l2
0,0,l1,l2,l1,l2,l3,l2,l1,l2
0,0,l1,l2,l1,l2,l1,l2,l3,l2
0,0,l3,l2,l1,l2,l1,l1,l2,l2
0,0,l1,l2,l3,l2,l1,l1,l2,l2
0,0,l1,l2,l1,l2,l3,l1,l2,l2
0,0,l1,l2,l1,l2,l1,l3,l2,l2
0,0,l3,l2,l1,l1,l2,l2,l1,l1
0,0,l1,l2,l3,l1,l2,l2,l1,l1
0,0,l1,l2,l1,l3,l2,l2,l1,l3
0,0,l1,l2,l1,l1,l2,l2,l3,l1
0,0,l3,l2,l1,l1,l2,l1,l2,l1
0,0,l1,l2,l3,l1,l2,l1,l2,l1
0,0,l1,l2,l1,l3,l2,l1,l2,l3
0,0,l1,l2,l1,l1,l2,l3,l2,l1
0,0,l3,l2,l1,l1,l1,l2,l2,l1
0,0,l1,l2,l3,l1,l1,l2,l2,l1
0,0,l1,l2,l1,l3,l1,l2,l2,l3
0,0,l1,l2,l1,l1,l3,l2,l2,l1
0,0,l3,l1,l2,l2,l2,l1,l1,l2
0,0,l1,l3,l2,l2,l2,l1,l1,l2
0,0,l1,l1,l2,l2,l2,l3,l1,l2
0,0,l1,l1,l2,l2,l2,l1,l3,l2
0,0,l3,l1,l2,l2,l1,l2,l1,l2
0,0,l1,l3,l2,l2,l1,l2,l1,l2
0,0,l1,l1,l2,l2,l3,l2,l1,l2
0,0,l1,l1,l2,l2,l1,l2,l3,l2
0,0,l3,l1,l2,l2,l1,l1,l2,l2
0,0,l1,l3,l2,l2,l1,l1,l2,l2
0,0,l1,l1,l2,l2,l3,l1,l2,l2
0,0,l1,l1,l2,l2,l1,l3,l2,l2
0,0,l3,l1,l2,l1,l2,l2,l1,l1
0,0,l1,l3,l2,l1,l2,l2,l1,l1
0,0,l1,l1,l2,l3,l2,l2,l1,l3
0,0,l1,l1,l2,l1,l2,l2,l3,l1
0,0,l3,l1,l2,l1,l2,l1,l2,l1
0,0,l1,l3,l2,l1,l2,l1,l2,l1
0,0,l1,l1,l2,l3,l2,l1,l2,l3
0,0,l1,l1,l2,l1,l2,l3,l2,l1
0,0,l3,l1,l2,l1,l1,l2,l2,l1
0,0,l1,l3,l2,l1,l1,l2,l2,l1
0,0,l1,l1,l2,l3,l1,l2,l2,l3
0,0,l1,l1,l2,l1,l3,l2,l2,l1
0,0,l3,l1,l1,l2,l2,l2,l1,l2
0,0,l1,l3,l1,l2,l2,l2,l1,l2
0,0,l1,l1,l3,l2,l2,l2,l1,l2
0,0,l1,l1,l1,l2,l2,l2,l3,l2
0,0,l3,l1,l1,l2,l2,l1,l2,l2
0,0,l1,l3,l1,l2,l2,l1,l2,l2
0,0,l1,l1,l3,l2,l2,l1,l2,l2
0,0,l1,l1,l1,l2,l2,l3,l2,l2
0,0,l3,l1,l1,l2,l1,l2,l2,l2
0,0,l1,l3,l1,l2,l1,l2,l2,l2
0,0,l1,l1,l3,l2,l1,l2,l2,l2
0,0,l1,l1,l1,l2,l3,l2,l2,l2
0,0,l3,l1,l1,l1,l2,l2,l2,l1
0,0,l1,l3,l1,l1,l2,l2,l2,l1
0,0,l1,l1,l3,l1,l2,l2,l2,l1
0,0,l1,l1,l1,l3,l2,l2,l2,l3
0,0,l2,l3,l4,l5,l1,l1,l1,l1 # 3 of a kind: other cases
0,0,l2,l3,l4,l1,l5,l1,l1,l1
0,0,l2,l3,l4,l1,l1,l5,l1,l1
0,0,l2,l3,l4,l1,l1,l1,l5,l1
0,0,l2,l3,l1,l4,l5,l1,l1,l1
0,0,l2,l3,l1,l4,l1,l5,l1,l1
0,0,l2,l3,l1,l4,l1,l1,l5,l1
0,0,l2,l3,l1,l1,l4,l5,l1,l1
0,0,l2,l3,l1,l1,l4,l1,l5,l1
0,0,l2,l3,l1,l1,l1,l4,l5,l1
0,0,l2,l1,l3,l4,l5,l1,l1,l1
0,0,l2,l1,l3,l4,l1,l5,l1,l1
0,0,l2,l1,l3,l4,l1,l1,l5,l1
0,0,l2,l1,l3,l1,l4,l5,l1,l1
0,0,l2,l1,l3,l1,l4,l1,l5,l1
0,0,l2,l1,l3,l1,l1,l4,l5,l1
0,0,l2,l1,l1,l3,l4,l5,l1,l1
0,0,l2,l1,l1,l3,l4,l1,l5,l1
0,0,l2,l1,l1,l3,l1,l4,l5,l1
0,0,l2,l1,l1,l1,l3,l4,l5,l1
0,0,l1,l2,l3,l4,l5,l1,l1,l1
0,0,l1,l2,l3,l4,l1,l5,l1,l1
0,0,l1,l2,l3,l4,l1,l1,l5,l1
0,0,l1,l2,l3,l1,l4,l5,l1,l1
0,0,l1,l2,l3,l1,l4,l1,l5,l1
0,0,l1,l2,l3,l1,l1,l4,l5,l1
0,0,l1,l2,l1,l3,l4,l5,l1,l1
0,0,l1,l2,l1,l3,l4,l1,l5,l1
0,0,l1,l2,l1,l3,l1,l4,l5,l1
0,0,l1,l2,l1,l1,l3,l4,l5,l1
0,0,l1,l1,l2,l3,l4,l5,l1,l1
0,0,l1,l1,l2,l3,l4,l1,l5,l1
0,0,l1,l1,l2,l3,l1,l4,l5,l1
0,0,l1,l1,l2,l1,l3,l4,l5,l1
0,0,l1,l1,l1,l2,l3,l4,l5,l1
0,0,l1,l2,l3,l1,l4,l5,l6,l1 # Pair with one taking the tip
0,0,l1,l2,l3,l2,l4,l5,l6,l2
0,0,l1,l2,l3,l3,l4,l5,l6,l3
0,0,l2,l5,l3,l1,l3,l5,l2,l1 # 3 pairs
0,0,l2,l5,l3,l1,l3,l2,l5,l1
0,0,l2,l5,l3,l1,l2,l5,l3,l1
0,0,l2,l5,l3,l1,l2,l3,l5,l1
0,0,l2,l5,l3,l1,l5,l2,l3,l1
0,0,l2,l5,l3,l1,l5,l3,l2,l1
0,0,l2,l2,l5,l1,l5,l3,l3,l1
0,0,l2,l2,l5,l1,l3,l5,l3,l1
0,0,l2,l2,l5,l1,l3,l3,l5,l1
0,0,l2,l5,l2,l1,l3,l5,l3,l1
0,0,l2,l5,l2,l1,l3,l3,l5,l1
0,0,l5,l2,l2,l1,l3,l3,l5,l1
0,0,l2,l5,l3,l1,l4,l5,l2,l1 # 2 pairs
0,0,l2,l5,l3,l1,l3,l4,l2,l1
0,0,l2,l5,l3,l1,l3,l5,l4,l1
0,0,l2,l5,l3,l1,l4,l2,l5,l1
0,0,l2,l5,l3,l1,l3,l4,l5,l1
0,0,l2,l5,l3,l1,l3,l2,l4,l1
0,0,l2,l5,l3,l1,l4,l5,l3,l1
0,0,l2,l5,l3,l1,l2,l4,l3,l1
0,0,l2,l5,l3,l1,l2,l5,l4,l1
0,0,l2,l5,l3,l1,l4,l3,l5,l1
0,0,l2,l5,l3,l1,l2,l4,l5,l1
0,0,l2,l5,l3,l1,l2,l3,l4,l1
0,0,l2,l5,l3,l1,l4,l2,l3,l1
0,0,l2,l5,l3,l1,l5,l4,l3,l1
0,0,l2,l5,l3,l1,l5,l2,l4,l1
0,0,l2,l5,l3,l1,l4,l3,l2,l1
0,0,l2,l5,l3,l1,l5,l4,l2,l1
0,0,l2,l5,l3,l1,l5,l3,l4,l1
0,0,l2,l4,l5,l1,l5,l3,l3,l1
0,0,l2,l2,l5,l1,l4,l3,l3,l1
0,0,l2,l2,l5,l1,l5,l3,l4,l1
0,0,l2,l4,l5,l1,l3,l5,l3,l1
0,0,l2,l2,l5,l1,l3,l4,l3,l1
0,0,l2,l2,l5,l1,l3,l5,l4,l1
0,0,l2,l4,l5,l1,l3,l3,l5,l1
0,0,l2,l2,l5,l1,l3,l4,l5,l1
0,0,l2,l2,l5,l1,l3,l3,l4,l1
0,0,l2,l5,l4,l1,l3,l5,l3,l1
0,0,l2,l5,l2,l1,l3,l4,l3,l1
0,0,l2,l5,l2,l1,l3,l5,l4,l1
0,0,l2,l5,l4,l1,l3,l3,l5,l1
0,0,l2,l5,l2,l1,l3,l4,l5,l1
0,0,l2,l5,l2,l1,l3,l3,l4,l1
0,0,l5,l2,l4,l1,l3,l3,l5,l1
0,0,l5,l2,l2,l1,l3,l4,l5,l1
0,0,l5,l2,l2,l1,l3,l3,l4,l1
0,0,l3,l4,l5,l1,l6,l2,l2,l2 # Pair: other cases
0,0,l3,l4,l5,l1,l2,l6,l2,l2
0,0,l3,l4,l5,l1,l2,l2,l6,l2
0,0,l3,l4,l2,l1,l5,l6,l2,l2
0,0,l3,l4,l2,l1,l5,l2,l6,l2
0,0,l3,l4,l2,l1,l2,l5,l6,l2
0,0,l3,l2,l4,l1,l5,l6,l2,l2
0,0,l3,l2,l4,l1,l5,l2,l6,l2
0,0,l3,l2,l4,l1,l2,l5,l6,l2
0,0,l3,l2,l2,l1,l4,l5,l6,l2
0,0,l2,l3,l4,l1,l5,l6,l2,l2
0,0,l2,l3,l4,l1,l5,l2,l6,l2
0,0,l2,l3,l4,l1,l2,l5,l6,l2
0,0,l2,l3,l2,l1,l4,l5,l6,l2
0,0,l2,l2,l3,l1,l4,l5,l6,l2
0,0,l1,l2,l3,l4,l5,l6,l7,l4 # High card

l,0,0,0,0,0,0,0,0,0 # S0
l,l1,0,0,0,0,0,0,0,0 # S1e
l,0,l1,0,0,0,0,0,0,0 # S1c
l,l1,l2,l3,l4,0,0,0,0,0 # S4a
l,0,l1,0,l2,0,l3,0,l4,0 # S4c
l,l1,0,l2,0,l3,0,l4,0,0 # S4e
l,l1,l2,0,l3,l4,0,0,0,0 # S4i
l,l1,0,l2,0,l3,l4,0,0,0 # S4j
l,l1,0,l2,l3,0,l4,0,0,0 # S4k
l,l1,l2,0,l3,0,0,0,l4,0 # S4n
l,l1,l2,l3,0,0,l4,0,0,0 # S4q
l,l1,l2,l3,0,l4,0,0,0,0 # S4r
l,l1,l2,0,0,l3,0,0,l4,0 # S4t
l,l1,l2,0,0,0,l3,l4,0,0 # S4w
l,l1,l2,0,l3,0,l4,0,0,0 # S4y
l,l1,l2,0,0,l3,l4,0,0,0 # S4z
l,l1,l2,l3,l4,0,0,0,l5,0 # S5a
l,l1,l2,l3,0,l4,0,l5,0,0 # S5c
l,l1,l2,0,l3,0,l4,0,l5,0 # S5e
l,l1,l2,l3,l4,l5,0,0,0,0 # S5i
l,l1,l2,l3,l4,0,l5,0,0,0 # S5j
l,l1,l2,0,l3,0,l4,l5,0,0 # S5k
l,l1,l2,l3,l4,0,0,l5,0,0 # S5n
l,l1,l2,l3,0,l4,l5,0,0,0 # S5q
l,l1,l2,0,l3,l4,l5,0,0,0 # S5r
l,l1,l2,0,l3,l4,0,l5,0,0 # S5y
l,l1,l2,l3,l4,l5,l6,0,0,0 # S6a
l,l1,l2,l3,l4,l5,0,l6,0,0 # S6c
l,l1,l2,l3,l4,0,l5,0,l6,0 # S6e
l,l1,l2,0,l3,l4,l5,0,l6,0 # S6i
l,l1,l2,l3,l4,0,l5,l6,0,0 # S6k
l,l1,l2,l3,0,l4,l5,l6,0,0 # S6n
l,l1,l2,l3,l4,l5,l6,l7,0,0 # S7c
l,l1,l2,l3,l4,l5,l6,0,l7,0 # S7e
l,l1,l2,l3,l4,l5,l6,l7,l8,0 # S8

@COLORS

0 0 0 0
1 0 0 180
2 175 13 102
3 146 248 70
4 255 200 47
5 255 118 0
6 185 185 185
7 235 235 222
8 100 100 100
9 255 255 0
10 55 19 112
11 255 255 150
12 202 62 94
13 205 145 63
14 12 75 100
15 255 0 0
16 175 155 50
17 255 255 255
18 37 70 25
19 121 33 135
20 83 140 208
21 0 154 37
22 178 220 205
23 255 152 213
24 0 0 74
25 175 200 74
26 63 25 12

Rule:ColourisedLifeModulo5

2024-11-07T04:28:18Z

CurrentNews: ColorfulGalaxy's new rule

@RULE ColourisedLifeModulo5
{{Outdated}}
A variant of Koenig's Life with modular arithmetic.
http://mathworld.wolfram.com/ModularArithmetic.html
1×3＝3
3×3＝4
4×3＝2
2×3＝1
5×3＝5

;Notable patterns
5-color glider (p124)
5-color toad (the two stator cells are in the same color) (p8)
5-color clock (the two stator cells are in the same color) (p8)
4-color galaxy made up of four 2x6 rectangles in each color (p4992)

@TABLE
n_states:6
neighborhood:Moore
symmetries:permute
var a={1,2,3,4,5}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var a9=a

# B3
0,1,1,1,0,0,0,0,0,1
0,1,1,2,0,0,0,0,0,3
0,1,1,3,0,0,0,0,0,5
0,1,1,4,0,0,0,0,0,2
0,1,1,5,0,0,0,0,0,4
0,1,2,2,0,0,0,0,0,5
0,1,2,3,0,0,0,0,0,2
0,1,2,4,0,0,0,0,0,4
0,1,2,5,0,0,0,0,0,1
0,1,3,3,0,0,0,0,0,4
0,1,3,4,0,0,0,0,0,1
0,1,3,5,0,0,0,0,0,3
0,1,4,4,0,0,0,0,0,3
0,1,4,5,0,0,0,0,0,5
0,1,5,5,0,0,0,0,0,2
0,2,2,2,0,0,0,0,0,2
0,2,2,3,0,0,0,0,0,4
0,2,2,4,0,0,0,0,0,1
0,2,2,5,0,0,0,0,0,3
0,2,3,3,0,0,0,0,0,1
0,2,3,4,0,0,0,0,0,3
0,2,3,5,0,0,0,0,0,5
0,2,4,4,0,0,0,0,0,5
0,2,4,5,0,0,0,0,0,2
0,2,5,5,0,0,0,0,0,4
0,3,3,3,0,0,0,0,0,3
0,3,3,4,0,0,0,0,0,5
0,3,3,5,0,0,0,0,0,2
0,3,4,4,0,0,0,0,0,2
0,3,4,5,0,0,0,0,0,4
0,3,5,5,0,0,0,0,0,1
0,4,4,4,0,0,0,0,0,4
0,4,4,5,0,0,0,0,0,1
0,4,5,5,0,0,0,0,0,3
0,5,5,5,0,0,0,0,0,5

a,0,0,0,0,0,0,0,0,0 # S0
a,a1,0,0,0,0,0,0,0,0 # S1
a,a1,a2,a3,a4,0,0,0,0,0 # S4
a,a1,a2,a3,a4,a5,0,0,0,0 # S5
a,a1,a2,a3,a4,a5,a6,0,0,0 # S6
a,a1,a2,a3,a4,a5,a6,a7,0,0 # S7
a,a1,a2,a3,a4,a5,a6,a7,a8,0 # S8

@COLORS
0 0 0 0
1 255 0 0
2 255 255 0
3 0 255 0
4 0 255 255
5 0 0 255
6 255 0 255

2024-11-06T13:18:28Z

CurrentNews: ----

User:CurrentNews

2024-11-06T13:16:49Z

CurrentNews: ----

User:CurrentNews

2024-11-06T13:11:33Z

CurrentNews: ----

User:CurrentNews

2024-11-06T13:06:56Z

CurrentNews: ----

User:Pzq Alex/List of Chinese on the forums

2024-11-05T22:24:48Z

CurrentNews: Update

{{Ambox|text=This article needs to be expanded with: '''Proof that they should be listed here.'''}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1051 wieeiwwieeiw] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1287 Bullet51] (p15159)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1357 unname66609] (p15154)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1470 PHPBB12345] {{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1592 shouldsee] (p40916)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1633 72c20e] (p43855)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1660 testitemqlstudop] (p74105)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1664 GUYTU6J] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1838 Hunting] (Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1846 AlephAlpha] (alephalpha.github.io)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2162 FWKnightship] (p95650, indirectly)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2322 yujh] (p130468)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2342 Dylan Chen] (p130460)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2608 YYDH](Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2637 shuich01]{{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2640 ColorfulGabrielsp138] (formerly ColorfulGalaxy)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2680 pzq_alex] (p135369)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2723 fast_photon] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2784 Ohhhhhhhhh] (p135032)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2037 Random life lover] (Occupation)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2940 samas3] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3637 islptng] (Location; 本人留下的,真实可信)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3639 pifricted] (是真的。)

== Suspections ==
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2649 FWCamelship]
* LittleLWSS (u=3680) (Location)
* tennisplayer (u=1556)
* win2024 (u=3733)

== See also ==
* [[User:77topaz/Forum handles table]]

User:GUYTU6J/OCA:Glimmering Garden

2024-11-05T06:13:20Z

CurrentNews: /* Stable */ Name

{{Rule
|name = Glimmering Garden<br>熠熠种花
|b = 3-jknr4ity5ijk6i8
|s = 23-a4city6c7c
|char = Chaotic
}}
'''Glimmering Garden''' (Chinese name: '''熠熠种花''') is an [[isotropic non-totalistic cellular automaton]] devised by [[GUYTU6J]] on August 28, {{year|2019}}.

= Rule definition =

[[Image:glimmering_garden_transitions.png|framed|center|Birth (left) and survival (right) ransitions used by Glimmering Garden. Code: white=background, gray=gridline, black=ON neighbouring cell, lime=OFF neighbouring cell, yellow=OFF center cell, blue=ON center cell.]]
Same as the classic [[Game of Life]], Glimmering Garden is a 2-state rule on a square grid with range-1 Moore neighbourhood. A cell will be ON in the next generation if its neighbourhood matches any of the (non-totalistic) configurations above up to reflection and/or rotation (isotropic). In Hensel notation this is expressed as B3-jknr4ity5ijk6i8/S23-a4city6c7c, which is used by [[Golly]] and [[LifeViewer]].

= Patterns =

Despite differing by many non-totalistic transitions, Glimmering Garden have shown similar dynamics and engineering capabilities to Life in [[pattern]]s.

== Still lives ==

Without transition S3a, a [[block]] dies instantly, while the existence of B4i6i prohibits longer [[induction coil]]s and B5k renders [[loaf]] unstable. Other than those the rule exhibits larger varieties of [[still life|still lives]] compared with Life; the smallest asymmetric still life, for instance, is the 6-cell bobo$ob2o$bo! ({{LinkCatagolue|xs6_2da|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw}}, domino at tub) which does not persist in Life.

The most common still lives are:

<center>
{| class="wikitable"
! Name / [[rle]] !! Apgcode !! Major predecessors !! Approximate relative frequency
out of all objects (out of 1.00)
|-
| [[Tub]] || xs4_252 || 3o$bo$3bo! || 0.08374
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs10_25bkc|patternname=Cis-boat at boat}} || xs10_25bkc || 3o$bo$3bo! || 0.05178
|-
| [[Long ship]] || xs8_35ac || bo$3o$2bo$2bo$3bo! giving two copies of 2b2o$bobo$o2bo$3o! || 0.04397
|-
| [[Boat]] || xs5_253 || - (Modified from tub, long ship, etc) || 0.04382
|-
| [[Ship]] || xs6_356 || bo$3o$o2bo$bobo! || 0.01895
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs8_2da6|patternname=bo$ob2o$bobo$b2o!}} || xs8_2da6 || 3o$bo$3bo! (Interrupted halfway) || 0.00856
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs6_2da|patternname=Domino at tub}} || xs6_2da || - || 0.00706
|}</center>

The listed tub and cis-boat at boat predecessor arises highly frequently; in 134 generations it develops a D4_x4-symmetric constellation consisting of two copies of each said still life aligned diagonally.

== Oscillators ==

=== Power trio ===

There are three [[common]], [[spark]]y [[volatility|volatile]] [[oscillator]]s, of [[period]] 240, 28 and 44 respectively, that characterize Glimmering Garden as the minimum isotropic non-totalistic rule to support the trio.
{|style="margin-left:auto;margin-right:auto;"
|-
|{{EmbedViewer
|rle = x = 6, y = 5, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
bob2o$6o$b2o$2b3o$3bo!
|viewerconfig = #C [[ GPS 10 AUTOSTART ZOOM 8 X 9 Y -5 ]]
|position = center
|caption = Cloverleaf, a period-240 oscillator
|apgcode = xp240_27erb2/b3-jknr4ity5ijk6i8s23-a4city6c7c
|style = width:320px;
|}}
|{{EmbedViewer
|rle = x = 9, y = 9, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
5bo$4b2ob2o$5bo2bo$2o5b2o$2o$2bo$bo$bobo$b3o!
|viewerconfig = #C [[ GPS 10 AUTOSTART ZOOM 16 X -3 Y 1 ]]
|position = center
|caption = Julia, a period-28 oscillator
|apgcode = xp28_8r93zxcc2457/b3-jknr4ity5ijk6i8s23-a4city6c7c
|style = width:320px;
|}}
|{{EmbedViewer
|rle = x = 18, y = 18, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
b2o$obo$o$2o$2bo$6bo$5b3o$5bo$4bo$3b3o$11bo$11b2o$8bob2o$8b2o$8bo$13bo2b2o$
14bo2bo$14b3o!
|viewerconfig = #C [[ GPS 10 AUTOSTART ZOOM 10 X -1 ]]
|position = center
|caption = Butterfly, a period-44 oscillator
|apgcode = xp44_e9jzxgom32zy4s8472zy916453/b3-jknr4ity5ijk6i8s23-a4city6c7c
|style = width:320px;
|}}
|}
The period-240 oscillator '''cloverleaf''' is the most common oscillator as well as object{{refn|group=note|Taking the hundreds of thousands of combinations of cloverleaves that apgsearch does not separate into account, it is overwhelmingly more than the T-ship.}} arising from [[soup]]s. Several [[natural]] [[evolution]]ary sequences such as 3o$bo$3bo! (before annihilating) and bo$3o$o2bo$bobo! mentioned above give rise to copies of its [[predecessor]], namely, [[R-pentomino]] or its 2-generation descendant [[B-heptomino]] (possibly with some spark cells tied to both). It is a [[reflectorless rotating oscillator]] of loopability 1 and {{LinkCatagolue|xp80_w3156zyagwg0cc2zsi2ey63c887zw4aof5yacogzye6c421|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=3}} (but not 2) with ⌘-shaped motion. It was this oscillator, found in other rules<ref name="post77601" />, that led to the discovery of Glimmering Garden.

The period-28 oscillator '''Julia''' is the third most common oscillator. The [[envelope]] resembles a [https://en.wikipedia.org/wiki/Julia_set Julia set], hence the name. An octomino predecessor for it, 2bo$b3o$2obo$bo!, can be seen above at generation 41 of cloverleaf.

The period-44 oscillator '''butterfly''' is the fourth most common oscillator. It arises from a heptomino bo$3o$2b2o$2bo! or the namesake [[butterfly]] sequence o$2o$obo$b3o! in Life. Without S4c in the rule, this pattern becomes a [[replicator]] [[wave]]. There is a common non-trivial {{LinkCatagolue|xp44_y875pgszzs4cggzw223|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=dimer}} with smaller minimum population and a simple 7-cell predecessor b3o$obo$2o! (a [[century]] predecessor in Life).

=== Volatility status ===

Apart from the p240 cloverleaf, the p80 tri-cloverleaf and the p28 Julia, the following periods also have at least a strictly volatile oscillator respectively: 12 ({{LinkCatagolue|xp12_4er2w2re4|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=two}} {{LinkCatagolue|xp12_27460806472|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=examples}}), 60 ({{LinkCatagolue|xp60_ye13ngybgn31zy9c80426xd72y527dx62408czzzzy4o44cgc6s8yl8s6cgc44oz4cocy279884yp48897y2coc4zzz4636y2si224yp422isy26364zy4344616c72yl27c616443zzzzy962048cxms8y58smxc84026zyegot1yb1tog|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=twelve B-heptominoes stabilizing each other}}) and 152 ({{LinkCatagolue|xp152_759ggycggy6ggycgg957zxggyb9mpy6pm9ybggzea9yzy79ae|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=found in D4_+4}}).{{refn|group=note|{{LinkCatagolue|xp480_s31hey08zy0cb3y0ehgo7|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=This two-cloverleaf p480}} is almost strictly volatile if it were not including two cells that turn on once per 240 ticks.}}

Apart from the p44 butterfly, the primitive periods for which statorless but not strictly volatile oscillator exists are {{LinkCatagolue|xp4_fwf|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=4}}, {{LinkCatagolue|xp14_55bszkkq7|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=14}}, {{LinkCatagolue|xp30_272272x757|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=30}}, {{LinkCatagolue|xp86_y1652y6s88sz253zyq8o8zw8o8yl232zw232zysok8zy97227y68kc|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=86}}. Sufficiently sparky oscillators reflecting T-ships yield statorless oscillators at higher multiples of {{LinkCatagolue|xp24_y182r6xg8gy5g8gzy1g5tx2aga72wsw27aga2xeaa4e666e4aaezy2263y4s808y4skx8o0g0o8zy8oooygo222zy91ybosoxh4k4gzxggxggyk11x11zy01454hx373ybgzy18883yg333zx2301032x57y42027y4oc8zeaa4eccce4aaex8a1as8w7w8sa1a8xnk1zyd121y5121xcr82|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=12}}, {{LinkCatagolue|xp28_wg0gmb2yr8cozy11xe472y6ee4y48sgow16202zy9osoyh1zyp6e6zg0gox72e4y48ssy6go8szx6d4yn1xgkr202zyy1|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=28}}, {{LinkCatagolue|xp60_0272272x757ye4u4zy4ggy8oooy2131zy4331y81y3757zzeaey2gogy78ssz8s8y2111z272yeeaex4e44e4|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=30}}, {{LinkCatagolue|xp44_gg8ccc88yq88oy063isz322w12yp74611y1763zw46368ogyk8sszy231y08d8zzzyxgggzycoogyf5y08smzyc11yo3631zxub7y1skj17yogikggiaezx1263yz111|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=44}}, {{LinkCatagolue|xp80_yzys6513zyzyc2cc0gwgzyzyf788c3y6e2iszggy5o44cwgyvgocya5foa4z346y41110c5c72yu124c6zym404eyvgqgzy5i224szy28660111y08ogg972zyf1zzyzyugogzyzyr4e9w11xg888g661zymgggyzy832444zyn5yw7202zyhgy96324ogyt4eja3088oy46iszydgg251faya31yz3221zyd3447y6s31hezyw334zyfc8a6|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=80}} and {{LinkCatagolue|xp86_y2gyzyj8sk88ks8y4256z0ggw321x4ea44440aa04444ae4yzyi352z121yn6r6yncmczw6r6ylo3oyn6d6ylcmczwo3oymuyzyd6d6zxuym363yl8kozw363wggy1ggy1ggy5ca4y0gooyhck8y427522572zy2132111102201111231x4a6y611zysgyioogy5652x8sk88880kk08888ks8zyb4ea44ae4y4123wggyd11y1253yncmczyw121ylcmcylg7gzy26r6yzycg7gyl1s1zy2363yl6r6yn1s1yl6d6zyu363yn6d6ynok8zy04acyaggwggyzw275222205502222572x8kczy56a4y413211231|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=86}}.

=== Collection ===

The rule has been known to be [[omniperiodic]] since July 2021, although for odd periods between 27 and 37 inclusive there is no oscillator that does not utilise [[LCM_oscillator#Dying_sparks|spark interaction]] or [[#Signal_Circuits|signal circuitry]].
{{EmbedViewer
|pname = glimmeringgardenoscillators
|position = center
|viewerconfig = #C [[ WIDTH 1500 HEIGHT 900 ZOOM 0.5 ]]
|caption = Stamp collection for 16 still lives and 911 oscillators (period＜1000) as of February 15, 2023
|style = width:540px;
}}

== Spaceships ==

The [[glider]] from Life does not work in this rule. [[Spaceship]]s from official apgsearch symmetries are listed below:{{refn|group=note|This list does not include {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq24_yc4ejzzy0siuzx8ogz753mdzskodmzx231zy079fzzyc4ep|patternname=xq24_yc...}}, a (12,0)c/24 spaceship that works but has not appeared in the census of this rule yet; it was originally found [https://catagolue.hatsya.com/attribute/xq24_yc4ejzzy0siuzx8ogz753mdzskodmzx231zy079fzzyc4ep/b3-jknr4ity5ijk6i8s23-a4city6cn7c/D8_4 by FWKnightship in a rule with S6n].}}
{| class="wikitable mw-collapsible mw-collapsed" style="margin-left:auto; margin-right:auto"
|-
! Category !! Speed !! Apgcode !! Info
|-
| rowspan=9 | c/2 orthogonal || (1,0)c/2 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq2_1b1}} || T-ship, the second most common object from C1. Some trivial flotillae are not separated by apgsearch. See section below for details
|-
| (2,0)c/4 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq4_0gn20uz133}} || Two T-ships with period-4 block tagalong, first found from Rust Life Search
|-
| (12,0)c/24 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq12_6e6x7oghewehgo7x6e6}}, {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq12_gggxcqre4w4erqcxgggz05yg5}} and {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq12_y2gom3as88sa3mogz1b1yg1b1}} || rowspan=4 | Two T-ships escorting two B-heptominoes, from even bilateral symmetries
|-
| (18,0)c/36 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq36_ytgyh119czyq4e51bc8zy0gzy03h01yh27zsig099fg084xiaezggg96wgy2gz34w9pfw12x457zy0s808yh4ezzyq27aod31zyzyc8893|patternname=xq36_yt..}}
|-
| (24,0)c/48 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq48_373ym373zy66bre4w4erb6|patternname=xq48_37...}} and {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq48_y34764sy8s4674zy213011ya11031zzzz08we897yg798ew8z232yq232zy86bre4w4erb6|patternname=xq48_y3...}}
|-
| (36,0)c/72 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq72_y2e917y2719ezsiuy233y033y2uiszzy0122y8221zzy1eh13sy2s31hezw433yc334zzy6gy0gzy4271aaaa172zzw6e6wcmms8w8smmcw6e6zy51y21|patternname=xq72_y2...}}
|-
| (36,0)c/72 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq72_yao88gyzyd2304zya11ohs8ybgogybccok44ozwgo8y81yf1ya27d4w21zx12232y0o719i08gze9fy1cof41digs223y8g8gzo8oy1ocog0o44sya37b4z123y330ei184197zw4e9131y13221ywgogzycc6s8yb4c6ya1rqckghezyaea86yzyggzyzyv13|patternname=xq72_ya..}} || Four B-heptomino in a row
|-
| (48,0)c/96 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq96_yagomjq8y2g8oyzy7o8ozgo8gd8ya2j3ws1761y3gs636yso8y11ycosi72ylo4p9ez01xgks4y37oggd2w1y8323yu111xgyc25c65e897yi111y4ogzy21yzgo84897yn323y34660gyzy19s972zy2gyz13242isyno8oy34cc01yzy1i7is8z0gx1574y3s311m8wgy8o8oyugggx1yc8k6cke2isyigggy431z1321m2ya8pow7gscgy317cocys32y1gyc379s8yl34jiezya13dpb2y2123yzy7323|patternname=xq96_yag...}}, {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq96_37sy28s6cggyaggc6s8y2s73zy743631y813634zy2gyqgzy0275o04wiaeyaeaiw40o572zy3328e41ye14e823zzzy5go4soycos4ogzy6135ebn6y66nbe531zyb30tmr1221rmt03zzzzzzy1g8o0ggyigg0o8gzy1112101yi101211zzzzzzzzzy646cyec64zy14e8y44s8y28s4y48e4zzyeo88w88ozy8ggy21221y2ggzy4s2268knyank8622szy51w2631y81362w1zzzzzy34cq972ye279qc4zzyc7oghewehgo7|patternname=xq96_37s...}}, {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq96_y42027yc7202zzzzzzzy3ge26ye62egzy0gyqgz8smi1niymin1ims8zw11323ym32311zzxokcgymgckozy11y16dvigy4givd6y11zy93etgp5225pgte3zyc1y21zzzzzzzx65b426yi624b56zzzzzzzzzzccxgo863ekogy8goke368ogxcczy0ggh35eoc231y6132coe53hggzx7ada7yk7ada7zyd322223zy4g888gyag888gzy432444ya44423zzzzy644k8oy6o8k44zy148oc302yc203co84zyecwczybsgo4114ogs|patternname=xq96_y42...}}, {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq96_yzy3e013yzyngogzymc8ssocj17y3gyzya4b5mya4650272y0ggyxgzy2o8o7556y2k0gy3278pcy42vip57yzy61oghdrgsyd80h0897yu464z8s4i71023y528e8yzyq8s4i7x1z0g9v9yzyzy5g9v9z1324e8g4sy54h7hy6gy6gggyzy21324ewgog0gggyfgzy2111eaa6y22y4gku1p3y4kf49aeyzy681g8bd03yd108gh9eyu2m2zym313313c8eyzyi2da6ya26qgke4zyzy3708cyzyo1|patternname=xq96_yzy...}}, {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq96_y44ej6ye6je4zy8sscee4y24eecsszz8sm63114x4e288oy4o882e4x41136ms8zy813211y411231zy311yk11zzy3gwc44oyao44cwgzy127d6w111ya111w6d72zye8oooo8zycsgp7337pgszzzzy0okcg8oyio8gckozy21yo1zzzzzzzzzy5236ye632zy0274y42e4y24e2y4472zzydc4kwk4czy788gy211y2g88zy3eh134argy8gra431hezy7131ya131zzzzy5ggygggzy226d431ye134d62zybgwgy0gwgzyb3c887w788c3|patternname=xq96_y44...}} || Two B-heptomino pair puffers in a line; the first one is the minimal form
|-
| (24,0)c/48 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq48_277zw27d6y5be4zw277}} || Two T-ships escorting a 4-tick descendant of 3o$bo$3bo!, making a would-be p12 cloverleaf puffer from C1
|-
| rowspan=3 | 8c/17 orthogonal || (16,0)c/34 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq34_y08sa36x63as8y38sa36x63as8zo862exeodoexe2604062exeodoexe268oz111y25e5y212221y25e5y2111|patternname=xq34_y08...}} and {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq34_y0gggy2hvhychvhy2gggz4eb112jgy2vyevy2gj211be4zy86viv6ya6viv6zy5cksy1skcy4cksy1skc|patternname=xq34_y0g...}} || Two engines that alone would be a 32c/68 backrake, from bilateral symmetries; the latter one with even symmetry is the smallest known
|-
| (32,0)c/68 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq68_yk67aczyqg8cogz0goocksz132skay1k8s8wk8yeooowooue6y2ss8yzyzyzyjggz27dcolsyv11y18444oy5g19eyzyzyzy811yzys651348oy6o4448zyq48oc4ya22211y26rn1qc423e4yzyzyfggg4s8x8226ccogy78yzyx111y4689d2coe4zylo8oy1gogyq2yzyzyj32462y511y38s42kcc2yxgzyl111y11123yzyg8sa3mogyvgwsi26yr22yb131pa36ytcc6rmsooa288oyzyxocogzyz42364yzy912yy25172079ocyzy71223yv603y211yzyse6agboo0gzy58sm63l7yzyzyzyzyzyioe6yzyzy0siid5aaj1zy5go875ay15272w52yk772y3772yzya772y3772yzya772y3772yw1ym772yzyg3444zy6133657zyz12631zytcsa6|patternname=xq68_yk...}} and {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq68_yu119czyzwc4kozy6g8w4ms8zy632aslsy28cx88zy67910iks8zyb1y3osoy6om926ynom926ynom926ynom926zyqgkejyegyegggypgggypgggz0gw8cogyf6f0ac72y13133y327dd6z74koap1y0g08owggyl8sszei2159ogy111zy0131ykg08oyzy3gogw7pnssyxeihh9zymggx111yzy31167a2tk8cyzy0334zyk4441|patternname=xq68_yu...}} || Engines are the same as above but with larger spatial distance, from C2 symmetries
|-
| (64,0)c/136 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq136_y1eh130i031heyceh130i031hez8si36xm3a3mx63is8y28si36xm3a3mx63is8zx109xqbqx901y8109xqbqx901zy5p6pykp6pzy5111y6ggggy6111zyi3443zzzzzy27yu7|patternname=xq136_y1...}} || Engines are the same as above, from even bilateral symmetries
|-
| c/4 orthogonal || (1,0)c/4 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq4_nmkz31}} || The second smallest and fastest spaceship with distinctive speed. See section below for details
|-
| 3c/20 orthogonal || (3,0)c/20 || {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq20_dadz373}} || Quite similar to the [[fireship]] in Life: symmetric, non-monotonic, with wide and sparky rear end
|}
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle = x = 68, y = 61, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
20bobo$19bob3o$22bobo$24b2o$21bob2o$21b2o$21bo$b3o$o2bo$2o2bo$23b3o$
24bo$24bobo2$23bobo2$17b3o5bo$17bo$17bo2bo$18b3o3$39bobo$38bob3o$41bob
o$43b2o$40bob2o$40b2o$40bo4$42b3o$43bo$43bobo2$13b3o26bobo$12bo2bo$12b
2o22b3o5bo$36bo$36bo2bo$37b3o21bobo$60bob3o$63bobo$65b2o$62bob2o$62b2o
$62bo3$44bo$41bobob3o16b3o$41b2obo2bo17bo$44bo2bo17bobo$44b3o$35b3o26b
obo$34bo2bo$34b2o22b3o5bo$58bo$58bo2bo$59b3o!
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 4 GPS 10 TRACK 7/46 -7/46 ZOOM 8 X 2 Y 4 WIDTH 720 HEIGHT 720 LOOP 92 ]]
|caption = A 3-engine 14c/92d spaceship
|position = center
|style = width:250px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 56, y = 53, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
bo11b3o$4o9bo$o2bo10bob3o$bobo7b3obo3bo$b4o5b2ob2o4bo$b4ob3o2bo2bo2b2o
bo$7bo2bo3bo4b2o$5b2o4bob3o2b3o$8b3o8b2o$9bo7bobobo$11b2o3bo3b2o$13b2o
$12bo10bo$12b3o4b4obo$14b2o3bo4bo$15bob2o5bo$17b2o4bobo$18b2o2bobobo$
22bo3bo$17b2ob4o2bo$17bobo2bo$17b2o7bo$17b2o5b2obo$17b2o5bo$20bo13bo$
19bobo10b3o$20bobo4bobob2o$21bobo2b2ob2o2b2o2b4o$22bobo2b2o4bo2bob2o2b
o$23b2o4bo7b2obobo$30bob2o5bobobo$31bobo6bobo$32bobo8bo$33bobo8b2o$34b
obo3b2o$35bob4obob2o$36bobobobobobo$37bo2bo2bo2bo$41bob2ob2o$42bob2o2b
o$45bo2b2o$42bo5bobo$42b3o2bobo$44bo2bo2bo$45bob2obobo$46bo3b3o$51bo$
52bo$51b3o$48b3o$48bo$54b2o$50b4o!
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 4 GPS 2 TRACK -0.25 -0.25 ZOOM 8 WIDTH 720 HEIGHT 640 LOOP 4 ]]
|caption = A 250-cell c/4 diagonal spaceship
|apgcode = xq4_yzy18og8sw3szywggo465a9dhx7401zyo88k843gba4mb18e21zynfmd21whfl9zyk2eo640cka521zydggg0g8xarc21zy5gg04q225a8s80320g8ka6zws22d373ahw32cc60daccc121z742tmi2nwo68e31zy01s9g72zgs4kuu01z011/b3-jknr4ity5ijk6i8s23-a4city6c7c
|position = center
|style = width:220px;
}}}}
{{gallery bottom}}
Some non-exhaustive searches for c/2 and 2c/4 [[component]]s have been carried out with [https://alephalpha.github.io/rlifesrc/ Rust Life Search]. Moreover, searching with [[ikpx2]] has been done for [[c/4 diagonal]] and found 27 spaceships including [[tagalong]]s and extensible components as of February 2021; the smallest one is shown to the left.

[[FWKnightship]] constructed the first [[engineered spaceship]]s from rake and puffers of simplified speed 4c/11, 8c/17 [[orthogonal]] and 7c/46 [[diagonal]]. Later, 16c/34 spaceships have also emerged from symmetric soups. Of these, the 4c/11 (unsimplified 24c/66) spaceships are the largest; even {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq66_yzy38kcyh8kcyh8kcy1cm3esgy87zyzxgyzyg310323yt88gzy727isow8smc2gy3gy63yzyrsiiooggydgoocg23gogzy1o88n98e56c52y03631y23ecy7mes4s8yugoc48c4yk7443y11302y4165063hw31z4ekgo4aujx8k8yh8k8y11362yy133657yb8k8yzy3go46czx11bg1sggx113y38ka23y5113yzy1go4e4y18ka23y5113y38ka23yoggc409laez46r6w27c51yic4syogyh1127yi8ggo8y6gk6s8yg322724zy02yjsk0og0166yfgjg28ogo572yl13doa72y08s6k8gy11y377xg05zyhg0ooy21yk111x1yzy02621yb88g8zydgw1362557yr8koyh8kozyf22d72yzyzy1111|patternname=the minimal 2-engine form}} has 167×56 or at least 457 cells.

=== T-ship ===

{{EmbedViewer
|rle = x = 174, y = 153, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
o4bo3bobo3bobobo2bo3bo3bo3bo4bo4bobo33bo5bo3bo3bobo4bobo$154bobobo$obo
2bo2bo3bo4bo4bo3bo3bo3bobo2bo2bo37bobobobo3bo2bo6bo3bo$156bo$o2bobo2bo
3bo4bo4bobobo3bo3bo2bobo2bo2bobo32bo2bo2bo3bo3bobo3bo$156bo$o4bo2bo3bo
4bo4bo3bo3bo3bo4bo2bo4bo32bo5bo3bo6bo2bo3bo$156bo$o4bo3bobo5bo4bo3bo3b
o3bo4bo4bobo33bo5bo3bo3bobo4bobo$156bo10$9bo4bo144bo5b2o$6bob2o4b2obo
138bob2o4b3o$9bo4bo26bo117bo5b2o$92bo$41bo$40b3o49bo$91b3o3$14bo$9bo4b
2obo21bo$6bob2o4bo21bob2o49bo$9bo29bo46bob2o$89bo73b3o$163b3o$164bo3$
14bo$14b2obo$9bo4bo144bo$6bob2o146bob2o$9bo34bo114bo2$44bo$43b3o2$14bo
$14b2obo$14bo$9bo29bo101bobobobobobobobobobobobobobobobobo$6bob2o26bob
2o$9bo29bo$89bo59bobobo3bobobo2bo2$89bo59bo4bo2bo6bo$14bo73b3o68bobo$
14b2obo131bo4bo2bo6bo$14bo$149bobobo3bobobo2bobobo$9bo$6bob2o79bo$9bo
35bo40bob2o68bo$89bo$45bo112bo$44b3o110b3o4$15bo$9bo5b2obo20bo119bo$6b
ob2o5bo20bob2o116bob2o$9bo29bo119bo6$15bo$15b2obo$9bo5bo$6bob2o$9bo
150bo$38b3o$38b3o119bo$39bo119b3o2$15bo$15b2obo$15bo$9bo29bo119bo$6bob
2o26bob2o116bob2o$9bo29bo119bo7$15b2o$9bo4b3o$6bob2o5b2o$9bo153bo$41b
3o$41b3o119bo$42bo119b3o3$15b2o$14b3o$9bo5b2o22bo119bo$6bob2o26bob2o
116bob2o$9bo29bo119bo2$90b3o$90b3o$91bo$15b2o$14b3o$15b2o$9bo$6bob2o
79bo$9bo76bob2o$42b3o44bo69b3o$42b3o114b3o$43bo116bo$15b2o$14b3o$15b2o
2$9bo29bo119bo$6bob2o26bob2o116bob2o$9bo29bo119bo11$44b3o$44b3o$45bo5$
39bo$36bob2o49bo5bo$39bo46bob2o5b2obo$89bo5bo!
|viewerconfig = #C [[ ZOOM 4 HEIGHT 800 WIDTH 800 ]]
|position = center
|caption = All 29 distinct two T-ship collisions
|style = width:280px;
}}
The [[bullet heptomino]] is the smallest and fastest spaceship. Its other phase is a [[t-tetromino]] plus one [[dot]] spark at the back, hence the name '''T-ship'''. Its significance for Glimmering Garden is to the same extent as the glider for Game of Life.

There are 29 distinct two T-ship collisions, 19 of which creates nothing, 6 creates a single T-ship (include 4 [[fly-by deletion]]s, one 90-degree [[kickback]] and one 180-degree kickback; both kickback involve 3o$obo$bo!), one creates two T-ships via a [[teardrop]]-like sequence and another one creates two parallel [[blinker]]s. The remaining two is messy.

Some 3T [[syntheses]] has been discovered for tub, [[boat]], [[ship]], [[long boat]] and blinker. In-depth investigation including 3T, 4T, etc collision enumeration and component collection is yet to be done.

FWKnightship has demonstrated that a blinker may serve as a [[construction elbow]] by finding a set of PUSH, PULL and FIRE (sideways) [[elbow operation]]s with 4~6 [[synchronized]] T-ships each. The minimum separation is 51 ticks, suitable for simple signal circuitry built with tubs and boats (see below).

=== xq4_nmkz31 ===

{{EmbedViewer
|rle = x = 35, y = 19, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
2o$3o$2o12b3o$14b3o$15bo$8bo$5bob2o21bo$8bo20bobo$15bo12bobo$14b3o12bo
$2o12b3o$3o$2o18bo$19bobo$20bobo$21bobo9bo$22bo9bobo$33bo$33b2o!
|position = right
|viewerconfig = #C [[ THUMBSIZE 4 ZOOM 12 Y 3 AUTOSTART GPS 4 PAUSE 2 T 5 PAUSE 2 T 26 PAUSE 2 T 104 GPS 10 PAUSE 2 LOOP 105 HEIGHT 700 WIDTH 800 ]]
|caption = Synthesis and conversion of xq4_nmkz31
|style = width:250px;
}}

This [[non-monotonic]] spaceship is made up of two hexominoes in one phase. It has a 5T synthesis that is intrinsically a T+blinker+two dots reaction, and it can be easily converted to T-ship or B-heptomino. A [[flotilla]] of three can {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xq4_xnmkz0g0b98gxogz120l5531wtd5zxrrazx1|patternname=escort a 15-cell pattern}}.

== Infinite growth patterns ==

[[Infinite growth]] patterns of different growth rates are known.

=== Linear growth ===

The rule is inhabited by abundant [[linear growth]] patterns including [[rake]]s, [[puffer]]s and [[gun]]s.
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle =x = 11, y = 8, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
5bo$4bobo$4b3o3$bo7bo$obo5bobo$bo7bo!
|viewerconfig = #C [[ AUTOSTART GPS 10 ZOOM 20 Y -2 THUMBSIZE 4 HEIGHT 600 WIDTH 600 ]]
|position = center
|caption = The period-13 T-ship gun
|apgcode = yl26_1_12_2fe6ce139b23948e63c82a3a3983bb5c/b3-jknr4ity5ijk6i8s23-a4city6c7c
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 27, y = 26, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
10bo5bo$9b2o5b2o$8b2o7b2o3$13bo$12b3o$12bobo$12bobo$4bo2bo4bobo4bo2bo$
5b2o6bo6b2o$2o23b2o$o25bo$3obo17bob3o$4b2o15b2o$3b2o17b2o7$9bo2bobo2bo
$8b3o5b3o$9bo3bo3bo$10bob3obo!
|viewerconfig = #C [[ AUTOSTART GPS 10 TRACK 0 -8/17 ZOOM 7 Y 7 LOOP 68 ]]
|position = center
|caption = The 32c/68 backrake
|apgcode = yl68_2_24_74a8179b4dab8d7a029a227317c3382a/b3-jknr4ity5ijk6i8s23-a4city6c7c
}}}}
{{gallery bottom}}
The most common linear growth pattern is a 32c/68 orthogonal double T-ship [[backrake]], as shown on the right. The shorter gap between adjacent T-ships is 20 ticks, while the longer gap is 112 ticks. It is the basis of many other linear growths collected in Catagolue, where the outputs are [[filter]]ed by oscillators or crashed into other objects; this tends to slow down soup searches severely in D2_+1, D4_+1, D4_+2 and D8_1 symmetries. The smallest linear growth [[polyplet]] predecessor is 3o$bo$bo$bo$2bo!, producing {{LinkCatagolue|yl2244_2_768_e468518a253b7a58984ae4538b30902c|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=two opposite copies of this backrake}} with only 7 cells. Other ways to form the backrake include a collision between two copies of cloverleaf or w-pentomino (essentially the 3-tick descendant of 3o$bo$3bo!). The backrake is repeatedly generated and extinguished in some high-period oscillators such as the two p408 and the p828, and it can be reflected 180-degrees to make a p670 shuttle.

The third most common one is a {{LinkCatagolue|yl322_2_316_87ed9cee2b0eaca7b3f1e09cd124cada|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=14c/92 diagonal puffer}} arising from a double interaction between a cloverleaf and a Julia, making the outputs solely Julias. Inrerestingly, these can be burnt at exactly the same speed, leading to a {{LinkCatagolue|yl4554_2_1724_25e2f56bbd8cd37d28a3bbc6c4d18482|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=natural linear growth}} with the highest occurred period.
{{EmbedViewer
|rle = x = 61, y = 51, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
45b3o$46bo2$46bo2$7bo13bo$5bo3bo9bo3bo2$7bo13bo$5bo3bo9bo3bo$6bobo11bo
bo$7bo13bo$5bo3bo9bo3bo$7bo13bo$7bo13bo$2bo4bo4bo3bo4bo4bo$5bo3bo4bo4b
o3bo$obo9bobobo9bobo$6b3o5bo5b3o3$4bo5bo7bo5bo$36b3o15b3o$36bobo15bobo
$22b3o12bo17bo$23bo13bo17bo$23bo13bo17bo$22b3o10bo3bo13bo3bo$5bo7b3o
20bobo15bobo$4b3o6b3o5bobobo$4b3o7bo6bobobo10bobo15bobo$23bo11b5o13b5o
$4b3o15b3o11b3o15b3o$4bobo16bo13bo17bo$5bo$4bobo48bo$55bo$54b3o$16bo
38bo$13bob2o29bo7b3o$16bo28b3o7bo$26bo18b3o$23bob2o28bo$26bo26b2ob2o$
36bo$33bob2o$36bo15b3ob3o$46bo3b3ob3ob3o$43bob2o3bo2bo3bo2bo$46bo3bo3b
obo3bo$51b3o3b3o!
|viewerconfig = #C [[ AUTOSTART GPS 10 ZOOM 8 THUMBSIZE 2 WIDTH 600 HEIGHT 480 Y 4 TRACK 0 -3/20 LOOP 120 ]]
|position = right
|caption = 7-engine p120 3c/20 forerake
|style = width:360px;
}}
A large amount of natural T-ship guns are based on cloverleaf, Julia and butterfly. The smallest and fastest known gun is a [[true-period]] {{LinkCatagolue|yl26_1_12_2fe6ce139b23948e63c82a3a3983bb5c|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw|patternname=p13 T-ship gun}} on the left arising from symmetric soups.

Side products from c/4 diagonal ikpx2 search include several [[wickstretcher]]s, puffers, and [[growing spaceship]]s containing a [[fuse]] burning at c/7d, 2c/10d, 4c/26d and 13c/61d.

Combining 3c/20 spaceships gives T-ship backrake, siderake and forerake of multiple periods. On the right is a forerake composed of a 2-engine p20 backrake by FWKnightship, a 2-engine 90-degree (back-to-side) reflector, and a p120 core sustained by a single dot spark.

=== Other growth rates ===

A [[sqrtgun]] and [[caber tosser]]s have been built. A T-ship to 24c/48o rake [[converter]] may be employed to build super-linear growth patterns. [[Sawtooth]] with a minimum repeating population of 188 has been found. A naturalistic [[primer]] was constructed by FWKnightship.

== Signal Circuits ==

For demonstrations of [[signal]] [[circuit]]s in this part, refer to the oscillator stamp collection above.

=== Oscillating ===

==== With power trio ====

Giving off similar [[century]]-like sparks, the oscillators cloverleaf, Julia and butterfly could be excellent for periodic technologies. For Julia, T-ship 90-degree [[reflector]], 180-degree reflector, [[Heisenburp]] (cf. p56 #10) and AND gate were found early on. However, later research focused on stable technologies and so p44 and p240 are lesser seeked.

Notably, copies of Julia could be laid in a row such that their binary state-flipping emulates a replicator in Wolfram's Rule 60 (cf. p224), and copies of interlinked cloverleaf could emulate a certain chaotic, anisotropic 2-dimensional rule.<ref name="post152700" />

==== General ====

Periodic 90-degree reflectors are also known with different mechanisms. Firstly, a head-on [[domino]] spark converts a bullet heptomino to a B-heptomino immediately, which can be turned to a new T-ship (type 4n+1) with a dot spark; this can be done at p8 (cf. p24 #6) with relatively tight bounding box, and the minimum working period for the domino sparker is p6 (cf. p18 #8). Secondly, the domino spark can be replaced with a xs12_2523ad2 (see below), providing new timing (but still type 4n+1) and thus allowing for p3 (cf. p27 #1) and p5 (cf. p30 #10) reflectors. Thirdly, bullet heptomino hitting a dying spark of 2×3 rectangle on the axis of symmetry gives another spark resembling Life's [[traffic light]] sequence, which evolves into a T-ship (type 4n+3) if suppressed with a tub (cf. p25 #5 and p34 #6).

There are a number of T-ship shuttles with periodic 180-degree reflectors (cf. p16 #2, p22 #2, p24 #3, p30 #4, p33 #2, p36 #2, p40 #7, p48 #3, p76 #5).

A somewhat general gun construction scheme exists for oscillators emitting the 2×3 rectangle spark. Two copies of them face-to-face can make a blinker, and a third one dots its edge to create a T-ship. (cf. p30 #3) Another method involves dotting a "power button" blinker directly and using the resulting T-ship to regenerate original blinker as well as emitting another T-ship. (cf. p41 #3, p63 #4, p70 #2, p124 #2; also see the p120 forerake above) This can also function as a parity-specific Heisenburp device for edgy dot-producing spaceships.

A decent application of periodic technologies is FWKnightship's p36960 [[OTCA metapixel]], released surprisingly in January 2022.

=== Stable ===

Table 1: a brief summary of key minimum [[repeat time]]s
<center>
{| class="wikitable"
! Item !! Repeat time in ticks
|-
| B-heptomino loop without extra signals || 27
|-
| B-heptomino loop with extra T-ship || 27
|-
| B-heptomino loop with extra B-heptomino || 27
|-
| T-to-B converter || 41
|-
| 90-degree T reflector || 41
|-
| T duplicator || 41
|}</center>

Table 2: catalysts
{| class="wikitable"
! Pattern !! Description !! Example
|-
| Tub || Development of stable technologies uses tub as [[rock]] extensively. || Many
|-
| Boat || * As a replacement of tub when it loses one cell and becomes a t-tetromino;<br>* The first known bait for a T-ship giving two B-heptominoes at repeat time 51. || * p3 #3, p10 #13, p66 #2, p126 #1, etc <br>* p51 #2, p59 #5, p66 #3, p142 #1
|-
| Ship || Its two-cell surface bites another two-cell surface via B4i, most commonly applied to a century spark to get a blinker; can be substituted with a tub at tub. || p41 #3, p109 #1, p124 #2, p133 #3
|-
| Barge || A flintstone that, upon hitting certain patterns, two B-heptominoes emerge like boat. || p23 #1, p32 #1, p56 #1, p64 #2, etc
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs8_2dic|patternname=Beehive [[siamese]] tub}} || An eater that works like CGoL fishhook, using the side near the tub; can be substituted with a {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs8_2da3}}. || p3 #13, p46 #7, p56 #12, p68 #2
|-
| Snake || * As a replacement of tub, but cells connected to it survive longer; can be substituted with a fishhook for better clearance;<br>* A rock that works as in CGoL; can be substituted with a beehive. || * p16 #3, p43 #1, p84 #2, p92 #1, etc <br>* p23 #3, p38 #1, p56 #2
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs6_2da|patternname=Domino at tub}} || * As a replacement of tub when it gains one extra cell to be a boat;<br>* Providing a two-cell obo! surface, like CGoL [[hook with tail]]. More or less equivalent to a snake in some cases.|| * p28 #9, p32 #4, p34 #1, p92 #3, etc <br> * p5 #26, p6 #3, p15 #2, p40 #3, etc
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs7_25a6|patternname=Boat siamese tub}} || As a replacement of tub when it loses one cell and becomes a triplet spark. || p43 #2, p48 #1, p55, p56 #9, etc
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs12_2523ad2}} || The core of second-phase development, with very robust reaction site. || Many
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs16_at26z9m9}} or {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs17_2da32da23}} || A modified version of xs12_2523ad2 serving as the initial catalyst of T-to-B at repeat time 41. || p41 #4, p82 #5, p97
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs10_5rkc}} || The initial catalyst of T-ship reflector at repeat time 43. || p43 #1
|-
| {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs20_2da32523ad2}} || A dimerized version of xs12_2523ad2 but less robust. || p10 #8, p38 #2, p40 #2, p78 #4, etc
|}

Stable technologies are of particular interest. Concentrating on tubs and boats, the first-phase elaboration has resulted in exact-timing ([[synchronized]]) Boolean logic AND, OR, XOR, ANDNOT gates, and eventually, a stable [[Rule 110]] [[unit cell]] proving the rule Turing-complete. In the second phase starting from June 2021, much more catalysts were manually designed and tested against reactions, boosting development of the rule generally. As an example, the most compact 90-degree T-ship reflector uses a single {{LinkCatagolue|style=raw|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|xs23_312ak8zx5r46z3211|patternname=23-cell still life}}, which fits in a 12×15 bounding box and has a repeat time of 44 ticks, as shown in p44 #8.

{{EmbedViewer
|rle = x = 69, y = 37, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
65bo2$65bo$64b3o7$27bo39bo2$27bo39bo$26b3o37b3o16$3bo14bo24bo14bo$ob2o
11bob2o21bob2o11bob2o$3bo14bo24bo14bo3$23b2obo37bobo$23bob2o35b2ob2o$
62bobo!
|viewerconfig = #C [[ AUTOSTART GPS 10 ZOOM 8 LOOP 64 PAUSE 2 T 42 PAUSE 2 T 52 PAUSE 2 T 63 PAUSE 2 ]]
|position = right
|caption = Memory bits
}}

[[Memory cell]]s that require [[destructive read]] can be built from a [[snake]], while [[permanent switch]] where information can be [[non-destructive read|read non-destructively]] is realized with the still life {{LinkCatagolue|xs8_5rk|rule=b3-jknr4ity5ijk6i8s23-a4city6c7c|style=raw}}. Meanwhile, still-life [[factory]]s making tub, boat, beehive, etc are used in [[demultiplexer]], [[regulator]] and [[pulse divider]].

In January 2022, a ''fangtian'' (Chinese: 方田) has been completed that is the counterpart of [[p1 megacell]] in this rule, with a unit cell size of 8192×8192 and a recommended period of 262144 (2<sup>18</sup>). Next month, a 327680×327680, period-16777216 (2<sup>24</sup>) ''fangtian-2'' extended the simulatable range to [[anisotropic]] range-1 3-state rules on a square grid. Both have a couple of sample patterns registered in [[Golly]]'s collection under <tt>Patterns/HashLife/Metacell</tt> folder.

= See also =

* [[User:GUYTU6J/OCA:Glimmering Garden/Appendix 1: Miscellaneous construction practice|Appendix 1: Miscellaneous construction practice]]

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

= References =
<references>
<ref name="post77601">{{LinkForumThread
|p = 77601
|format = ref
|title = Re: Reflectorless Rotating Oscillators (RRO)
|author = GUYTU6J
|date = June 12, 2019
}}</ref>
<ref name="post152700">{{LinkForumThread
|p = 152700
|format = ref
|title = Re: Thread for basic questions
|author = GUYTU6J
|date = October 26, 2022
}}</ref>
</references>

= External links =
{{LinkForumThread|f=11|t=4099|title=熠熠种花 - Glimmering Garden (B3-jknr4ity5ijk6i8/S23-a4city6c7c)}}
{{LinkCatagolueRule|b3-jknr4ity5ijk6i8s23-a4city6c7c|rulename=Glimmering Garden}}

OCA:Tlife

2024-11-05T06:00:52Z

CurrentNews: Update wickstretcher information

{{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, 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 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 may lead to [[LCM]] 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 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
|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]]

Fuse

2024-11-03T04:08:24Z

CurrentNews: Page creation request

{{Glossary}}
A '''fuse''' is a [[wick]] that [[burn]]s at one end, possibly creating byproducts. A [[clean]] fuse is much to be desired, even one leaving no residue. The messier the debris, the harder it would be to combine it with something else. Like [[pure glider generator]]s, fuses were of early academic interest in the 1970s and often reported in [[Lifeline]] issues, but nowadays fuses that are not [[reburnable]] have been found to be so numerous that new examples no longer receive much attention.

Fuse may also refer to a [[still life component]] consisting of a diagonal line of two or more [[live]] [[cell]]s. This article is about the first definition, above.

==Examples==

Various details which can be observed while examining the history of a burnt fuse:

* It is usually named for a noteworthy initial condition or avatar, which may or may not reappear as the fuse burns. If it reappears, the smallest, or most symmetrical, phase would probably have been chosen as the namesake and initiator.
* During and after startup a fuse may leave no residue, leave an initial residue which could change form or altogether disappear after a time, or persist for a long time.
* Three times are important statistics for the fuse:
** the transient time, after which it has entered a cycle
** the length of the internal cycle, after which the avatar repeats
** the length of the external cycle, which is the time for debris left by the burning to repeat, which may be a multiple of the internal cycle since it may require time to settle down. As the externally visible cycle, it is the one cited as the [[period]] of the fuse.
* A fuse may arise from a moving phase change in a wick without destroying the integrity of the wick, as for the phoenix-tub eater or the lightspeed wire. Indeed, all equilibria might be so regarded.

=== Raw diagonal ===

{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|rle = x = 14, y = 13, rule = B3/S23
12b2o$11bobo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o!
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = Raw diagonal:<ref name="jslife" /> transient time 0, cycle 1, [[period]] 1
}}

|[[Image:RAWDGL.PNG|200px]]{{br}}equilibrium: keeps on losing the SW end cell, evolves into a NW [[block]]
|}

=== Hivemaker ===

{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = hivemaker
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = [[Hive]]maker: transient time 14, cycle 4, period 4
}}

|[[Image:MKRHIV.PNG]]{{br}}equilibrium
|}

=== Baker ===

{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = baker
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = Baker:<ref name="jslife">{{CiteSummersPattern|name=jslife|accessdate=December 2, 2010}}</ref> Transient time 7, cycle 2, period 4{{br}}Discoverer: [[Keith McClelland]]
}}

|[[Image:MKRBKR.PNG]]{{br}}equilibrium
|}

=== Beacon maker ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = beaconmaker
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = [[Beacon]] maker:<ref name="jslife" /> transient time 16, cycle 4, period 8{{br}}discoverer: [[Steve Tower]], Lifeline Volume 1<ref name="vol1p6">{{CiteLifeline|vol=1|pages=page 6}}</ref>
|style = width:350px;
}}

|[[Image:MKRBCN.PNG]]{{br}}equilibrium
|}

=== Boat maker ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = boatmaker
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = [[boat]] maker:<ref name="jslife" /> transient time 5, cycle 2, period 4{{br}}discovery: Lifeline Volume 1<ref name="vol1p6" />
}}

|[[Image:MKRBOA.PNG]]{{br}}equilibrium
|}

=== Harvester ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = harvester
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 14 ]]
|caption = harvester:<ref name="jslife" /> transient time 5, cycle 4, period 4 {{br}}discovery: David Poyner, February 1971 <i>Scientific American</i> column<ref name="vol1p6" />
}}

|[[Image:MKRVST.PNG]]{{br}}equilibrium
|}

=== Ship maker ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname=shipmaker
|position=center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 500 ]]
|caption = [[ship]] maker:<ref name="post51" /> period 4{{br}}discovery: [[Nathaniel Johnston]]
|style = width:300px;
}}
|}

=== Dual fuse ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = dualfuse
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = Dual fuse: transient time 7, cycle 2, period 4
}}

[[Image:DUALEQ.PNG]]{{br}} equilibrium
|}

=== Tubs eating phoenix ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = tubseatingphoenix
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = [[tub]]s eating [[phoenix]]: transient time 0, cycle 2, period 2
}}

[[Image:PHXTUB.PNG]]{{br}}Equilibrium: loses a [[domino]], lengthens [[barge]], all at uniform width
|}

=== Cow ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450px;"
|{{EmbedViewer
|pname = cow
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|caption = Cow:<ref name="vol3p20">{{CiteLifeline|vol=3|pages=page 20}}</ref> period 8{{br}}equilibrium: burns left-to-right, evolves into a [[block]] {{br}}Discoverer: [[Don Woods]]
}}
|}

=== Lightspeed wire ===
{{main|Lightspeed wire}}
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450;"
|[[Image:CWIRE.GIF]]{{br}}lightspeed wire: transient time 0, cycle 4, period 4{{br}}equilibrium: the glitch moves off to the right along a protected rail
|}

=== Beehive fuse ===
{|style="margin-left:auto; margin-right:auto; clear:both; text-align:center; width:450;"
|{{EmbedViewer
|pname = beehivefuse
|position = center
|viewerconfig = #C [[ THUMBSIZE 3 ZOOM 12 HEIGHT 560 ]]
|caption = [[beehive]] fuse:<ref name="jslife"></ref> period 128{{br}}equilibrium: burns at 3c/32 until the [[house]] runs out of [[beehive]]s
|style = width:400px;
|}}
|}

==Reverse fuse==
{|class="wikitable" style="margin-left:auto; margin-right:auto; clear:both; text-align:center"
|[[File:RVFUSE1.GIF|thumb|initial configuration of a reverse fuse]]
|[[File:RVFUSE2.GIF|thumb|equilibrium configuration of a reverse fuse]]
|}
As suggested by Bill Woods on Lifeline,<ref name="vol3p20" /> a '''reverse fuse''' is not so much the name of a fuse as a description of fuse behavior. Given that a wick is a stable one dimensional Life pattern and that a fuse and its burning refer to a progressive disruption of the wick, the expectation is that a growing cloud of debris will form as the wick progressively disintegrates. So, the ''reverse'' of this scenario would be that the combustion settles down into an orderly process.

Although the term refers to no particular fuse, a simple example will serve to illustrate the principle. Whereas a diagonal string of live cells constitutes a stable wick, a semiinfinite string ''burns'' by dropping the cell at the tip of its tail every generation. But a cluster of live cells surrounding the tail complicates the evolution; the simple variant of placing a domino at the tip is shown in the first figure.

That fuse will burn for a while, leaving a residue behind. But eventually it will evolve into the form shown in the second figure; a pattern which reproduces itself in displaced form every fourth generation.

The raw diagonal fuse is a prolific source of variants, many of them reverse fuses.

==See also==
*[[Superstring]]
*[[Wickeater]] 
*[[C diagonal]]
*[[Blinker fuse]]
*[[Block fuse]]
*[[Bi-block fuse]]
*[[Pond fuse]]

==References==
<references>
<ref name="post51">
{{LinkForumThread
|p = 51
|format = ref
|title = Ship maker
|author = Elithrion
|date = February 15, 2009
}}
</ref>
</references>

==External links==
* {{LinkLexicon|filename=lex_f.htm#fuse|patternname=Fuse}}
* {{LinkLexicon|filename=lex_r.htm#reversefuse|patternname=Reverse fuse}}
* {{LinkForumThread|f=2|t=515|title=Fuse thread}}

Wickstretcher

2024-11-03T04:07:04Z

CurrentNews: ----) (Incorrect template use

{{Glossary}}
A '''wickstretcher''' is a [[spaceship]]-like [[pattern]] that stretches a [[wick]] that is fixed at the other end. The wick here is assumed to be in some sense connected, otherwise most [[puffer]]s would qualify as wickstretchers.

Wickstretchers are sometimes referred to by the type of wick they stretch, e.g. [[boatstretcher]], [[tubstretcher]], [[linestretcher]], [[antstretcher]].

A '''wickeater''' is a spaceship-like object that "consumes" a wick.<ref>https://conwaylife.com/forums/viewtopic.php?p=27137#p27137</ref> They can effectively be considered a more controlled form of [[fuse]]. WIckstretchers and wickeaters which consume the same wick and travel at the same speed can be used to create arbitrarily-sized spaceships, or a slow wickeater can be paired with a faster wickstretcher to create a [[growing spaceship]]. See also [[anteater]].

== Some examples of wickstretchers ==
The first example of a wickstretcher was [[wickstretcher 1]], which was found in October {{year|1992}} and stretches [[ants]] at a [[speed]] of [[c/4 orthogonal|c/4]].

Diagonally moving [[c/4 diagonal|c/4]] wickstretchers have also been built (see boatstretcher). In March {{year|1999}}, [[Jason Summers]] constructed a very large [[c/12 diagonal|c/12]] wickstretcher using [[switch engine]]-based puffers found earlier by [[Dean Hickerson]]. The wick in this last case is the simplest possible one: a single line of diagonal cells. In July {{year|2000}}, Summers also constructed a [[c/2 orthogonal|c/2]] wickstretcher, stretching a [[period]] 50 [[traffic jam]] wick. This was based on an earlier (October 1994) pattern by Hickerson.

In January {{year|2011}} [[Matthias Merzenich]] found the first [[58P5H1V1|c/5 diagonal wickstretcher]].<ref>{{LinkGoLNews|2011/01/new_c5_diagonal_technology_1.html|title=New c/5 diagonal technology|author=Adam P. Goucher|date=January 26, 2011}}</ref>

==Greystretchers==
{{related|greyship}}

A '''greystretcher''' is an extensible wickstretcher that extends a patch of high-density agar (typically [[zebra stripes]]). Unlike a [[spacefiller]], a greystretcher only stretches the agar patch in a single dimension.

{|style="margin:auto;width:300px;"
|{{EmbedViewer
|pname = c5ogreystretcher
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 750 ]]
|caption = [[c/5 orthogonal]] greystretcher. Repeatable [[line stretcher]] by [[Keith Amling]], 2020. [[Antstretcher]] by [[Hartmut Holzwart]], 2013. Connecting component by [[Matthias Merzenich]], 2020. Stationary [[fencepost]] by Matthias Merzenich, 2013.<ref name="post117591" />
}}
|-
|{{EmbedViewer
|pname = c2p8greystretcher
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 750 ]]
|caption = A [[c/2 orthogonal]] period-8 greystretcher that uses [[block]]s to stabilize the [[zebra stripes]], by Keith Amling, January 22, 2023.<ref name="post156338" />
}}
|-
|{{EmbedViewer
|pname = owssagarstretcher
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 750 ]]
|caption = [[OWSS]]-based greystretcher by Keith Amling, February 2, 2023.<ref name="post156856" />
}}
|-
| {{EmbedViewer
|rle = x = 137, y = 51, rule = B3/S23
7bo13bo93bo13bo$6b3o11b3o33b3o19b3o33b3o11b3o$4b2ob3o9b3ob2o3bo26bo3bo
17bo3bo26bo3b2ob3o9b3ob2o$5bo2bob2o5b2obo2bobob3o24bo4b2o15b2o4bo24b3o
bobo2bob2o5b2obo2bo$2b2obo4bobo3bobo4bobo3b2o22b2ob2obobo13bobob2ob2o
22b2o3bobo4bobo3bobo4bob2o$2b2obobo2bob2ob2obo2bobo6b2o19b2obo4bob2o
11b2obo4bob2o19b2o6bobo2bob2ob2obo2bobob2o$2bo8bobobobo7b2o3bo20bo2bo
3bo4bo9bo4bo3bo2bo20bo3b2o7bobobobo8bo$b2o7b2obobob2o11b4o13b3obo33bob
3o13b4o11b2obobob2o7b2o$13bobo9b4obobob2o10bo2bobob2o7b2o9b2o7b2obobo
2bo10b2obobob4o9bobo$8b3obo3bob4ob2o3bobo4bo9bo3bobo33bobo3bo9bo4bobo
3b2ob4obo3bob3o$7b2o11b2o6bo4bo11bo9b3o21b3o9bo11bo4bo6b2o11b2o$7bo13b
2obo5b2obob2o10bo9bo21bo9bo10b2obob2o5bob2o13bo$6b2o13bo11bo8b3obo43bo
b3o8bo11bo13b2o$21bo9bobobo5b2obobob3o6b2o19b2o6b3obobob2o5bobobo9bo$
15b3o23bobobo2bob2o33b2obo2bobobo23b3o$10bo3bo3bo13bobo5b2o2b3o3bob2o
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b2o9b2obob2obo3b2o$7b2o2bobo4bobo21bobo6bobo2bo23bo2bobo6bobo21bobo4bo
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ob2ob2o6bobo10bobo21bobo10bobo6b2ob2obo5bobo9b2obob2o$4bobobob2o8b2ob
2o3b2obo4bo4b2ob2o6b2obob2o19b2obob2o6b2ob2o4bo4bob2o3b2ob2o8b2obobobo
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2bobobobo12bobobo$b2o3bob2ob2o25bo3bob2o5b2o2bobo3bo13bo3bobo2b2o5b2ob
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o3bo3bo3bo3bo3b2obo4b3o2bo4b2o$21bo2b2obo2bob2o4bo2bo5bobo5bobo5bobo5b
obo5bobo5bobo5bo2bo4b2obo2bob2o2bo$20bo4bobo2bo5bo2b3o5bobo5bobo5bobo
5bobo5bobo5bobo5b3o2bo5bo2bobo4bo$24bo2bobobob2o2bobobob3obobob3obobob
3obobob3obobob3obobob3obobob3obobobo2b2obobobo2bo$24b2obobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
2o$25bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$24bo2bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo2bo$24b2obobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o$
25bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo$24bo2bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobo2bo$24b2obobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o$25b
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$24bo2bobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo2bo$24b2obobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o$27bobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobo$27bobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$28bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo!
|position = center
|style = width:300px;
|caption = Period-{{Period|6|Period 6}} greystretcher using [[coiled snake]]s to stabilise the edges by Keith Amling with reductions by Amling and Matthias Merzenich.<ref name="post179103" /> Found on 26 February {{year|2023}}.<ref name="post179093" />
|viewerconfig = [[ HEIGHT 500 WIDTH 750 THUMBSIZE 2 ZOOM 4 TRACK 0 -1/2 GPS 16 ]]
}}
|}

== See also ==
* {{CategoryLink|Wickstretchers}}

== References ==
<references>
<ref name="post117591">{{LinkForumThread
|format = ref
|title = Re: PotY 2020 Nomination Thread
|p = 117591
|author = Matthias Merzenich
|date = January 1, 2021
}}</ref>
<ref name="post156338">{{LinkForumThread
|format = ref
|title = Re: Spaceship Discussion Thread
|p = 156338
|author = Keith Amling
|date = January 22, 2023
}}</ref>
<ref name="post156856">{{LinkForumThread
|format = ref
|title = Re: Spaceship Discussion Thread
|p = 156856
|author = Keith Amling
|date = February 2, 2023
}}</ref>
<ref name="post179093">{{LinkForumThread
|format = ref
|p = 179093
|title = Re: Spaceship Discussion Thread
|author = Keith Amling
|date = 26 February, 2024
}}</ref>
<ref name="post179103">{{LinkForumThread
|format = ref
|p = 179103
|title = Re: Spaceship Discussion Thread
|author = Matthias Merzenich
|date = 26 February, 2024
}}</ref>

</references>

== External links ==
* {{LinkLexicon|lex_w.htm#wickstretcher}}
* {{LinkGoLNews|2011/05/oblique_antstretcher.html|title=Oblique Antstretcher|author=Adam P. Goucher|date=May 07, 2011}}
* {{LinkGoLNews|2005/06/extensible_wickstretcherlike_s.html|title=Extensible Wickstretcher-like Spaceship|date=June 04, 2005|author=Heinrich Koenig}}

FWKnightship

2024-11-02T21:07:31Z

CurrentNews:

{{Person|name=FWKnightship|born=December 29, 2003|res=Zhejiang, China|nat=Chinese}}
'''FWKnightship''' is an active [[CA enthusiast]] with a focus on [[OCA]]. Notable contributions include the following:

* October 2020: constructed a {{rl|Rule 110}} [[unit cell]] in {{rl|Live Free or Die}}, proving the rule [[Turing-complete]]
* December 2020: posted a Rule 110 [[emulator]] made in {{rl|DotLife}}, proving the rule Turing complete
* February 2021: constructed a Rule 110 [[unit cell]] in {{rl|2×2}}, proving the rule Turing-complete

{{PatternsFoundBy}}

User:Pzq Alex/List of Chinese on the forums

2024-11-02T21:06:09Z

CurrentNews: Location) (----

{{Ambox|text=This article needs to be expanded with: '''Proof that they should be listed here.'''}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1051 wieeiwwieeiw] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1287 Bullet51] (p15159)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1357 unname66609] (p15154)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1470 PHPBB12345] {{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1592 shouldsee] (p40916)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1633 72c20e] (p43855)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1660 testitemqlstudop] (p74105)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1664 GUYTU6J] (Location and signature)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1838 Hunting] (Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=1846 AlephAlpha] (alephalpha.github.io)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2162 FWKnightship] (p95650, indirectly)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2322 yujh] (p130468)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2342 Dylan Chen] (p130460)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2608 YYDH](Location)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2637 shuich01]{{cn}}
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2640 ColorfulGabrielsp138] (formerly ColorfulGalaxy)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2680 pzq_alex] (p135369)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2723 fast_photon] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2784 Ohhhhhhhhh] (p135032)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2037 Random life lover] (Occupation)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2940 samas3] (p133374)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3637 islptng] (Location; 本人留下的,真实可信)
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=3639 pifricted] (是真的。)

== Suspections ==
* [https://www.conwaylife.com/forums/memberlist.php?mode=viewprofile&u=2649 FWCamelship]
* LittleLWSS (u=3680) (Location)
* tennisplayer (u=1556)

== See also ==
* [[User:77topaz/Forum handles table]]

2024-10-18T13:49:55Z

CurrentNews: CurrentNews moved page User:ColorfulGalaxy/List of Patterns by apgcode to User:ColorfulGalaxy/List of patterns by apgcode without leaving a redirect: Move

__NOTOC__
''This article is gamma version.''

This article is a list of [[Pattern|patterns]] that are ordered by [[apgcode]] suffix.{{refn|group=note|The patterns are ordered by suffix. If the suffixes are the same, then they're further ordered by prefix.}}

Each link leads to:
* A [[LifeWiki]] page if a page related to the pattern exists.
* A [[ConwayLife.com|ConwayLife]] Forum page if the related LifeWiki page doesn't exist but the pattern is mentioned in the forums.
* Or else, a [[Catagolue]] page.

Please [http://www.conwaylife.com/forums/ucp.php?i=pm&mode=compose&u=2640 Contact the page author] if you spot errors or want to make a suggestion.

{| border="0" class="toccolours"
|-
! {{MediaWiki:Toc}}
|-
| align="center" |
[[#0|0]] [[#1|1]] [[#2|2]] [[#3|3]] [[#4|4]] [[#5|5]] [[#6|6]] [[#7|7]] [[#8|8]] [[#9|9]] [[#A|A]] [[#B|B]] [[#C|C]] [[#D|D]] [[#E|E]] [[#F|F]] [[#G|G]] [[#H|H]] [[#I|I]] [[#J|J]] [[#K|K]] [[#L|L]] [[#M|M]] [[#N|N]] [[#O|O]] [[#P|P]] [[#Q|Q]] [[#R|R]] [[#S|S]] [[#T|T]] [[#U|U]] [[#V|V]] [[#W|W]] [[#X|X]] [[#Y|Y]] [[#Z|Z]] __NOTOC__

[[#top|Top of page]] — [[#See also|See also]] — [[#External links|External resources]]
|}

==Subcategories==

'''L'''
* [[User:ColorfulGalaxy/List_of_polyominoes_by_apgcode|List of polyominoes by apgcode]]

'''X'''
* [[:Category:Oscillators|xp]]
* [[:Category:Oscillators_with_period_2|xp2]]
* [[:Category:Oscillators_with_period_3|xp3]]
* [[:Category:Oscillators_with_period_4|xp4]]
* [[:Category:Oscillators_with_period_5|xp5]]
* [[:Category:Oscillators_with_period_6|xp6]]
* [[:Category:Oscillators_with_period_7|xp7]]
* [[:Category:Oscillators_with_period_8|xp8]]
* [[:Category:Oscillators_with_period_9|xp9]]
* [[:Category:Oscillators_with_period_10|xp10]]
* [[:Category:Oscillators_with_period_11|xp11]]
* [[:Category:Oscillators_with_period_12|xp12]]
* [[:Category:Oscillators_with_period_13|xp13]]
* [[:Category:Oscillators_with_period_14|xp14]]
* [[:Category:Oscillators_with_period_15|xp15]]
* [[:Category:Oscillators_with_period_16|xp16]]
* [[:Category:Oscillators_with_period_17|xp17]]
* [[:Category:Oscillators_with_period_18|xp18]]
* [[:Category:Oscillators_with_period_19|xp19]]
* [[:Category:Oscillators_with_period_34|xp34]]
* [[:Category:Oscillators_with_period_53|xp53]]
* [[:Category:Still_lifes|xs]]
* [[:Category:Strict_still_lifes_with_4_cells|xs4]]
* [[:Category:Strict_still_lifes_with_5_cells|xs5]]
* [[:Category:Strict_still_lifes_with_6_cells|xs6]]
* [[:Category:Strict_still_lifes_with_7_cells|xs7]]
* [[:Category:Strict_still_lifes_with_8_cells|xs8]] {{refn|group=note|This category may not list [[Still_life#Pseudo_still_lifes|pseudo still lifes]] like the [[bi-block]].}}

==Patterns==

===0===
* [[Vacuum_(empty_space)|xs0_0]]△{{refn|group=note|The symbol "△" means that the [[apgcode#Canonical_form|canonical form]] of this apgcode is to be determined.}}
* [http://catagolue.hatsya.com/object?apgcode=xq1_03_3&rule=b2sg3 xq1_03_3]△ (in rule [[OCA:Brian%27s_Brain|Brian's Brain]])
* [[OCA:HighLife#Bomber|xq48_07z8ca7zy1e531]] (in rule [[HighLife]])

===1===
* [[Bit|xp0_1]]{{refn|group=note|"xp0" means that the pattern is unstable or [[dirty]].}}
* [[F-heptomino|xp0_11f8]]
* [[Duoplet|xp0_12]]
* [[Pre-block|xp0_13]]
* [[W-pentomino|xp6_136]] (in rule [http://www.conwaylife.com/forums/viewtopic.php?f=11&t=1468#p13971 B3/S234iw])
* [[Switch engine|xp0_1390a4]] △
* [[I-heptomino|xp0_13e8]]
* [[Glider|xq4_153]]
* [[Banana_spark|xp0_16]]
* [[Pre-pond|xp0_162]]
* [[25P3H1V0.1|xq3_16614e8o4aa82cc2]]
* [[R-pentomino|xp0_172]]
* [[Cover|xp0_1788o]]
* [[Anvil|xp0_178baa4]]
* [[Eater_1|xs7_178c]]
* [[Eater_head_siamese_eater_tail|xs12_178c453]]
* [[H-heptomino|xp0_17c4]]
* [[Octomino|xp0_17c6]]△
* [[Ants#Quadfuse|xp0_19660996609966099660...]]∞△
* [[Feather|xp0_1ac]]
* [[OCA:Tlife#Spaceships|xq4_1ba4]] (in rule [[OCA:Tlife|B3/S2-i34q]])

===2===
* [[U-turner|xp0_211u]]△
* [[Octomino|xp0_23ec]]△
* [[V_spark|xp0_25]]
* [[Tub|xs4_252]]
* [[Boat|xs5_253]]
* [[Beethoven|xp2_2552gggz4aa4]]
* [[Loaf|xs7_2596]]
* [[Barge|xs6_25a4]]
* [[Long_boat|xs7_25ac]]
* [[Long_barge|xs8_25ak8]]
* [[Long_long_boat|xs9_25ako]]
* [[T-tetromino|xq5_27]] (in rule [[OCA:Tlife|B3/S2-i34q]])
* [[Century|xp0_27c]]
* [[B-heptomino|xp0_27d]]
* [[MWSS|xq4_27dee6]]
* [[HWSS|xq4_27deee6]]
* [[C-heptomino|xp0_27e]]
* [[Clock|xp2_2a54]]

===3===
* [[Domino|xp0_3]]
* [[Canoe|xs8_312ko]]
* [[Beacon|xp2_318c]]
* [[Bipole|xp2_31ago]]
* [[Integral_sign|xs9_31ego]]
* [[Block_on_table|xs10_32qr]]
* [[Block|xs4_33]]
* [http://conwaylife.com/forums/viewtopic.php?f=11&t=4267 xp3_334oo] (in rule [http://conwaylife.com/forums/viewtopic.php?f=11&t=4267 B2n3/S23-q]){{refn|group=note|The symbol "[http://conwaylife.com/wiki/User:ColorfulGalaxy/List_of_Patterns_by_apgcode .]" means that the pattern is not mentioned on the wiki.}}
* [[Beacon#In_other_rules|xs8_33cc]] (in rule [[OCA:Tlife|B3/S2-i34q]])
* [[Blonk-tie|xp0_33s]]
* [[Pre-pre-block|xp0_35]]
* [[Dock|xp0_354453]]
* [[Moose_antlers|xs15_354cgc453]]
* [[Ship|xs6_356]]
* [[Mold|xp4_37bkic]]
* [[Bookend|xp0_39e]]
* [[Bookends|xs14_39e0e93]]
* [[Ants|xq1_ ...3cc3z3cc3z3cc3z3cc3z...]] ∞△ {{refn|group=note|The symbol "∞" means that this apgcode is [[Wick|infinitely long]] and therefore it is not supported by Catagolue.}}
* [[Long_snake|xs7_3lo]]
* [[Loafer|xq7_3nw17862z6952]]
* [[Shillelagh|xs8_3pm]]
* [[OCA:Tlife#Oscillators|xp160_3v]] △ (in rule [[OCA:Tlife|B3/S2-i34q]])

===4===
* [[Hat|xs9_4aar]]
* [[Eater_2|xs19_4aar0rbzx121]]
* [[Honeycomb|xs12_4alla4]]
* [[Kok%27s_galaxy|xp8_4b23021eaz57840c4d2]]
* [[B-heptaplet|xp0_4ej]]
* [[Pentadecathlon|xp15_4r4z4r4]]

===5===
* [[Obo!_spark|xp0_5]]
* [[Pole_2|xp2_5]] (in rule [[Isotropic_non-totalistic_Life-like_cellular_automaton|B2-i/S]])
* [[Pi_heptomino|xp0_557]]

===6===
* [[E-heptomino|xp0_63e]]
* [[Grin|xp0_69]]
* [[Eater_3|xs31_6952gg2u08k8z064k5421zw121]]
* [[Chopin|xp2_6952gggz69a4]]
* [[Jam|xp3_695qc8zx33]]
* [[Beehive|xs6_696]]
* [[Bun|xp0_697]]
* [[Cap|xp0_69f]]
* [[Pond|xs8_6996]]
* [[LWSS|xq4_6frc]]

===7===
* [[Blinker|xp2_7]]
* [[Herschel|xp0_72e]]
* [[Gosper_glider_gun|yl30_1_5_74055a5f5e513fd2e62fb8d6117d3f03]]
* [[Pre-pulsar|xp0_757x757]]
* [[Skewed pre-pulsar|xp0_757xsks]]
* [[Pre-beehive|xp0_77]]
* [[Pi grandparent|xp0_79]]
* [[OCA:HighLife#The_replicator|xp0_79his]] (in rule [[HighLife]])
* [[Toad|xp2_7e]]
* [[Rabbits|xp0_7iz231]]

===9===
* [[Table|xp0_9f]]

===A===
* [[Block-laying_switch_engine|yl144_1_16_afb5f3db909e60548f086e22ee3353ac]]

===B===
* [[Snake|xs6_bd]]

===C===
* [[Pulsar|xp3_co9nas0san9oczgoldlo0oldlogz1047210127401]]

===E===
* [[Phi_spark|xp0_ehhe]]
* [[House|xp0_ehr]]

===G===
* [[Blocker|xp8_g3jgz1ut]]
* [[Fleet|xs24_g8o653wggz11wokc321]]
* [[Figure_eight|xp8_gk2gb3z11]]
* [[Crab|xq4_go217z1b6koox84szy323]]

===J===
* [[Tumbler|xp14_j9d0d9j]]

===K===
* [[25P3H1V0.2|xq3_km92z1d9czxor33zy11]]

===M===
* [[Dart|xq3_mhqkzarahh0heezdhb5]]

===O===
* [[24-cell_quadratic_growth|xp0_o443z3yzy24ahzyzy1111zzz...zzzyzyz...yzyzy026zzzzzzyzyz...yzyzyk632]] ˡᵒⁿᵍ△ {{refn|group=note|The symbol "ˡᵒⁿᵍ" means that this apgcode is too long (but not infinitely long) for Catagolue.}}

===R===
* [[Table_and_table|xs12_raar]]
* [[Dead_spark_coil|xs18_rhe0ehr]]
* [[Spark_coil|xp2_rhewehr]]
* [[Bi-block|xs8_rr]]

===S===
* [[Traffic_light|xp2_s01110szw222]]

===Y===
* [[Honey_farm|xs24_y1696z2552wgw2552zy1343]]
* [[Quasar|xp3_y4co9nas0san9oczw8ogwokclphxhplckowgo8z36ada70127401x10472107ada63zc65rle0okeigoxogieko0elr56czw11x12jap8g0g8paj21x11zy4319e53035e913]]
* [[Max|xp0_y6g844s8o23u4o8zs44488go0c9c2o8143034147f8zo5wll8v0ila0v0bl60s8kk22iez19phg0gw1i38f0pap0f4aaggiszw338egv03casgh86zy3131]]
* [[Teeth|xp0_yna1iozyq1zzzzz2509c8zzz...zzzy5gyzyzfzy2s221yzyz0116zy21zyzyw708o8czzymgzyjag93zzz...zzzyzyzyfg08o8zyzyzye1202zzzzzyzyzyzy2804ezyzyzyzy2121]]△
* [[Riley%27s_breeder|xp0_yzyzyzy979112zzyxei224zzo888gz12zw79gzs4448z01]]
* [[Catacryst|xp0_yzyzyzyt632zzyzyzyzyzyogzyzyzyzyzyl251zzz...zzzy84c408gzya101zzzzggzw3444zzz...zzzyzyz...yzyzyv8861111zzzyzyz...yzyzyiozyzyz...yzyzyfo443zzz...zzzyzyz...yzyzy6ggzyzyz...yzyzy834444zzzzzyzyz...yzyzyt26i0k8]]ˡᵒⁿᵍ△
* [[Metacatacryst|xp0_yzyz...yzyzyg2548zzzyzyz...yzyzyo362zzz...zzzyzyzyzytgogzyzyzyzyt1zzyzyzyzyzylg884zyzyzyzyzym1zzz...zzzy81390a4zzzzz44ozx1111zzz...zzzyzyz...yzyzys12421szzzzzyzyz...yzyzy38gzyzyz...yzyzy342988]]ˡᵒⁿᵍ△
* [[Switch_engine_ping-pong|xp0_yzyz...yzyzyd13zzz...zzzyzyzyzynokgzzz...zzzg884z01zzz...zzzyzyz...yzyzypg8zyzyz...yzyzyp111zzz...zzzyzyz...yzyzym46c]] ˡᵒⁿᵍ△
* [[26-cell_quadratic_growth|xp0_yzyz...yzyzy1172zzzzzzyzyz...yzyzyp42cgzzz...zzz08g0g8z7w1zzzzysg8zyp88924]] ˡᵒⁿᵍ△
* [[25-cell_quadratic_growth|xp0_yzyz...yzyzyv344ozyzyz...yzyzyqha4yzy13zyzyz...yzyzys111zzz...zzzy48oyzyh26zgz3]] ˡᵒⁿᵍ△

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

==External links==
* {{LinkForumThread|f=12|t=2687|title=Cool Apgcodes}}