LifeWiki - User contributions [en]

Unidimensional spaceship 2

2026-01-12T12:08:57Z

Calcyman:

{{Spaceship
|name = Unidimensional spaceship 2
|pname = unidimensionalspaceship2
|c = 6287417
|bx = 795435669
|by = 1
|dir = Orthogonal
|p = 28409785756
|m = 28409785756
|s = c/14204892878
|z = 2c/28409785756
|symmetry = -c
|discoverer = Hippo.69
|discoveryear = 2026
|rle = x = 0, y = 0, rule = B/S
!
}}
'''Unidimensional spaceship 2''' is the second unidimensional spaceship to be discovered, constructed by [[Hippo.69]] as a reduction of [[Unidimensional spaceship 1]]. Much of the reduction was the result of a tape-reading mechanism that required only 3 slow glider pairs instead of 8, resulting in a much smaller initial fuse, combined with a more efficient mechanism of rebuilding the fuse.<ref name="post223596"/>

Compared with the previous unidimensional spaceship, this is 4.66 times smaller by bounding box length, 4.68 times faster by period, and 4.86 times smaller by population.
== References ==
<references>
<ref name="post223596">{{LinkForumThread
|format = ref
|p = 223596
|title = Re: How about faster unidimensional spaceship
|author = Hippo.69
|date = January 4, 2026
}}</ref>
</references>

[[Category:Patterns discovered by pseudonymous users]]

Unidimensional spaceship 1

2026-01-12T12:08:27Z

Calcyman: comparison with us2

{{Spaceship
|name = Unidimensional spaceship 1
|pname = unidimensionalspaceship1
|c = 30555709
|bx = 3707300605
|by = 1
|dir = Orthogonal
|p = 133076755768
|m = 133076755768
|s = c/66538377884
|z = 2c/133076755768
|symmetry = -c
|discoverer = Hippo.69
|discoverer2 = Adam P. Goucher
|discoveryear = 2025
|rle = x = 0, y = 0, rule = B/S
!
}}
'''Unidimensional spaceship 1''' is the first unidimensional spaceship to be discovered, constructed mainly by [[Adam P. Goucher]] and [[Hippo.69]] as well as several other contributors. Work started in 2016 and was completed on December 1, 2025 by [[Hippo.69]].<ref name="post222136"/>

Five weeks later, Hippo.69 constructed [[Unidimensional spaceship 2]], which is 4.66 times smaller by bounding box length, 4.68 times faster by period, and 4.86 times smaller by population.
== References ==
<references>
<ref name="post222136">{{LinkForumThread
|format = ref
|p = 222136
|title = Re: How about a unidimensional spaceship?
|author = Hippo.69
|date = December 1, 2025
}}</ref>
</references>

[[Category:Patterns discovered by pseudonymous users]]

Unidimensional spaceship 2

2026-01-12T12:04:02Z

Calcyman: Created page with "{{Spaceship |name = Unidimensional spaceship 2 |pname = unidimensionalspaceship2 |c = 6287417 |bx = 795435669 |by = 1 |dir = Orthogonal |p = 28409785756 |m = 28409785756 |s = c/14204892878 |z = 2c/28409785756 |symmetry = -c |discoverer = Hippo.69 |discoveryear = 2026 |rle = x = 0, y = 0, rule = B/S ! }} '''Unidimensional spaceship 2''' is the second unidimens..."

{{Spaceship
|name = Unidimensional spaceship 2
|pname = unidimensionalspaceship2
|c = 6287417
|bx = 795435669
|by = 1
|dir = Orthogonal
|p = 28409785756
|m = 28409785756
|s = c/14204892878
|z = 2c/28409785756
|symmetry = -c
|discoverer = Hippo.69
|discoveryear = 2026
|rle = x = 0, y = 0, rule = B/S
!
}}
'''Unidimensional spaceship 2''' is the second unidimensional spaceship to be discovered, constructed by [[Hippo.69]] as a reduction of [[Unidimensional spaceship 1]]. Much of the reduction was the result of a tape-reading mechanism that required only 3 slow glider pairs instead of 8, resulting in a much smaller initial fuse, combined with a more efficient mechanism of rebuilding the fuse.<ref name="post223596"/>
== References ==
<references>
<ref name="post223596">{{LinkForumThread
|format = ref
|p = 223596
|title = Re: How about faster unidimensional spaceship
|author = Hippo.69
|date = January 4, 2026
}}</ref>
</references>

[[Category:Patterns discovered by pseudonymous users]]

Unidimensional spaceship 1

2025-12-03T00:36:52Z

Calcyman: correct period

{{Spaceship
|name = Unidimensional spaceship 1
|pname = unidimensionalspaceship1
|c = 30859754
|bx = 3707300605
|by = 1
|dir = Orthogonal
|p = 133076755768
|m = 133076755768
|s = c/66538377884
|z = 2c/133076755768
|symmetry = -c
|discoverer = Hippo.69
|discoverer2 = Adam P. Goucher
|discoveryear = 2025
|rle = x = 0, y = 0, rule = B/S
!
}}
Unidimensional spaceship 1 is the first unidimensional spaceship to be discovered, constructed mainly by [[Adam P. Goucher]] and [[Hippo.69]] as well as several other contributors. Work started in 2016 and was completed on December 1, 2025 by [[Hippo.69]].<ref name="post222136"/>
== References ==
<references>
<ref name="post222136">{{LinkForumThread
|format = ref
|p = 222136
|title = Re: How about a unidimensional spaceship?
|author = Hippo.69
|date = December 1, 2025
}}</ref>
</references>

[[Category:Patterns discovered by pseudonymous users]]

One-cell-thick pattern

2025-12-02T21:07:29Z

Calcyman: link to Unidimensional spaceship 1

{{Glossary}}
A '''one-cell-thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form {{times|''y''|1}} for some natural number ''y''. Because of their size restriction, exhaustive computer searches have been carried out to explore unidimensional patterns up to size about {{times|40|1}}. Despite their inherent limitations, unidimensional patterns can exhibit quite complex behavior, even at reasonably small sizes.

Naively, one would assume that searching all {{times|''y''|1}} patterns would require O(2''y'') time. However, all such patterns containing one-cell and two-cell islands can be discarded, which reduces the search time to O(φ''y'').{{refn|group=note|Here, φ = 0.5 · (1 + 5½) ≈ 1.6180339887498948482... is the golden ratio.}}
Paul Callahan employed this optimisation in his search for unidimensional infinite-growth patterns.

== Spaceships and oscillators ==
The [[blinker]] is the only known ''finite'' [[oscillator]] that is one cell thick in one or more of its phases (tiling the plane with {{headerlessRLE|oooooo..}} gives an infinite period-9 oscillator based on the [[worker bee]]), and in April {{year|1992}}, [[Allan Wechsler]] used a search program to show that there are no oscillators of period 3, 5 or 7 that are one cell thick. The situation is unknown for other periods.<ref>E-mail sent from Allan Wechsler to LifeList</ref> However, the [[pentadecathlon]] has a simple one cell thick predecessor, and the oscillator's evolution sequence involves it evolving into a pattern that evolves very similar to a one cell thick pattern.

Due to symmetry, any one-cell-thick spaceship must move in the direction its length points in. Research was conducted in finding such a spaceship starting in 2016.<ref name="post27410" />

A plausible strategy for building such unidimensional oscillators/spaceships was to create a synthesisable unidimensional pattern that is a predecessor to a [[universal constructor]]. Creating a unidimensional constructor predecessor is the easy part; synthesising it is much more difficult, as all sparks must disappear before it enters its unidimensional phase.

On December 2, {{year|2025}}, [[Hippo.69]] completed a 2c/1330767555768 spaceship, [[Unidimensional spaceship 1]], which in one phase has a {{times|3707300605|1}} bounding box.<ref name=post222136>{{LinkForumThread|title=Re: How about a unidimensional spaceship?|f=22|t=2040|p=222136|author=Hippo.69|date=December 2, 2025|format=raw}}</ref>

== Infinite growth ==
In May {{year|1998}}, [[Stephen Silver]] produced a one-cell-thick pattern that exhibits [[infinite growth]], following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large ({{times|12470|1}} in the first version, reduced to {{times|5447|1}} the following day).<ref name="post155087" />

In October {{year|1998}}, [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is one of the most well-known one cell thick patterns, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit infinite growth. It contains 28 alive [[cell]]s and has a {{times|39|1}} bounding box.

{{EmbedViewer
|pname = unidimensionalinfinitegrowth
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|position = center
|caption = Paul Callahan's one cell thick infinite growth pattern
|style = width:360px;
}}

Indeed, this pattern produces two [[block-laying switch engine]]s at about [[generation]] 700. The following image shows what it looks like at generation 2000:

[[File:Unidimensional infinite gen2000.png|thumb|center|450x375px|Generation 2000 of Callahan's pattern]]

== Quadratic growth ==
In April 2011, [[Stephen Silver]] constructed a [[1xN quadratic growth|unidimensional pattern based on a breeder by Nick Gotts]], over a million cells long, which displays [[quadratic growth]].<ref>{{LinkGoLNews|2011/05/quadratic_population_growth_fr.html|title=Quadratic population growth from one row of cells|author=Dave Greene|date=May 07, 2011}}</ref>

In November 2014, [[Chris Cain]] constructed a {{times|7242|1}} [[quadratic growth]] pattern.<ref name="post14226" /> In October 2015, he reduced this pattern to {{times|2596|1}}.<ref name="post51585" />

== With all cells alive ==
Making the restriction that all cells in the unidimensional pattern must be alive (that is, the pattern is a {{times|''y''|1}} rectangle of alive cells) still leaves some interesting patterns. The majority of small patterns of this type quickly decay into [[constellation]]s made up of [[blinker]]s, [[block]]s and other common [[still life]]s and [[oscillator]]s, but some interesting cases are considered here. The simplest interesting such pattern is the case {{nowrap|''y'' {{=}} 3}}, which is simply the [[blinker]] (the only known finite oscillator that is one cell thick in one of its [[phase]]s). The next interesting such pattern comes when {{nowrap|''y'' {{=}} 10}}, which rapidly evolves into a [[pentadecathlon]].

{{EmbedViewer
|pname = unidimensionalpentadecathlonpredecessor
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|position = center
|caption = A pentadecathlon predecessor
|style = width:360px;
}}

The {{times|41|1}} box creates four [[pulsar]]s after about 200 generations -- this is the smallest one-cell thick pattern with all of its cells alive that creates an oscillator of period other than 2 or 15 (pulsars are also created by a line of length 135<ref>{{Cite web|url=http://sourceforge.net/forum/forum.php?thread_id=2086345&forum_id=467856|title=Sierpiński triangle in Life|author=Richard Hendricks|accessdate=June 16, 2009|date=June 20, 2008}}</ref>). The shortest such pattern that creates a [[toad]] has length 96, and the shortest such pattern that creates a [[spark coil]] has length 72. The shortest such pattern that produces an escaping [[glider]] has a width of 56.<ref>{{LinkForumThread|f=2|t=48|title=One cell thick patterns|author=Oscar Cunningham|date=March 29, 2009|format=ref}}</ref> It produces four gliders at about generation 100.

{{EmbedViewer
|pname = unidimensional4glidergenerator
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 800 ]]
|position = center
|caption = Unidimensional pattern that produces four gliders
|style = width:360px;
}}

The period of the pattern that results from the evolution of a {{times|''y''|1}} rectangle for {{nowrap|''y'' {{=}} 1, 2, 3, ...}} is given by 1, 1, 2, 1, 2, 1, 1, 1, 2, 15, 2, 1, 2, 1, 1, ... (Sloane's {{OEIS|A061342}}). As the length of the rectangle increases, its evolution becomes increasingly predictable. A long row of live cells will eventually form a shape resembling two copies of the Sierpiński triangle<ref>[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle Sierpiński triangle] at Wikipedia</ref>. In the process of making those triangles, it will send away several [[glider]]s and form [[bi-block]]s in the middle of the triangles.
[[File:Sierpinski.png|thumb|center|Generation 10,000,000 (escaping gliders omitted) of a row of 1,048,576 (220) live cells]]

Rectangles of size {{times|1|1}} ([[dot]]), {{times|2|1}} ([[domino]]), {{times|6|1}} ([[line-of-six spark]]), {{times|14|1}}, {{times|15|1}}, {{times|18|1}}, {{times|19|1}}, {{times|23|1}} and {{times|24|1}} die out completely when evolved. It is conjectured (and strongly believed) that these are the only such rectangles.

== Other examples ==
Some other interesting examples of one cell thick patterns include the following [[predecessor]] of a [[tumbler]], which was found during Paul Callahan's computer search in October 1998. It has 27 live cells and fits in a {{times|36|1}} bounding box.<ref>{{CiteSummersPattern|name=jslife}}</ref>

{{EmbedViewer
|pname = unidimensionaltumblerpredecessor
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|position = center
|caption = Paul Callahan's unidimensional tumbler predecessor
|style = width:360px;
}}

The following [[Die_hard#"Die_hard"_as_a_general_term|die hard]] pattern, also due to Callahan, has 66 live cells and fits in a {{times|149|1}} bounding box, yet dies out completely after 233 generations. Additionally, it is interesting because each half produces two gliders and two [[lightweight spaceship]]s.

{{EmbedViewer
|pname = unidimensionalnothing
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 800 ZOOM 5 ]]
|position = center
|caption = Paul Callahan's unidimensional pattern that dies completely
|style = width:360px;
}}

The smallest one cell thick pattern to emit a [[glider]] contains 12 live cells and fits in a {{times|15|1}} bounding box.<ref>{{Cite web|url=http://infinitegrowth.wordpress.com/2009/04/02/unidimensional-patterns-2/|title=Unidimensional Patterns (2)|date=April 2, 2009|accessdate=May 27, 2009|publisher=Infinite Growth Weblog}}</ref> It runs for 3183 generations before stabilizing and has a final population of 1059 cells.

{{EmbedViewer
|pname = unidimensional6glidergenerator
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|position = center
|caption = A unidimensional pattern that emits six gliders
|style = width:360px;
}}

On October 11, {{year|2018}}, [[carybe]] found a {{times|256|1}} soup using [[apgsearch]] which produces a [[middleweight Schick engine]] along with some junk.<ref name="post64642" />

{{EmbedViewer
|pname = 1x256schickengine
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|position = center
|caption = A reduced version ({{times|63|1}}) of the one-cell-thick [[Schick engine]] soup
|style = width:360px;
}}

== Methuselahs ==
In 2017, [[Simon Ekström]] discovered 14911M, the longest-lived unidimensional methuselah found to date.<ref name="post42292" />

{{EmbedViewer
|pname = 14911m
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|position = center
|caption = Unidimensional methuselah with lifespan 14,911 generations
|style = width:360px;
}}

== One cell thick patterns evolving into one cell thick patterns ==
A weaker problem is to find a unidimensional pattern that is the predecessor of another non-trivial unidimensional pattern. Non-trivial means that it must contain at least one line that is not the [[blinker]], a [[spark]], or a hypothetical one-cell-thick spaceship. For example, this rules out the pattern {{headerlessRLE|oo.o.oo.ooo}}, which becomes a single blinker without any of the separate line segments ever having the opportunity to interact. By contrast, the pattern {{headerlessRLE|ooooo.ooo}} also produces a single blinker, but the interaction between the two segments makes it a non-trivial unidimensional pattern.

In August 2016, toroidalet presented a unidimensional predecessor of a unidimensional pattern;<ref name="post33987" /> it evolves into a different one cell thick pattern in generation 9, and into two [[beehive]]s in generation 22:

{{EmbedViewer
|pname = unidimensional2unidimensional1
|viewerconfig = #C [[ THEME 6 GRID GRIDMAJOR 0 GPS 3 THUMBLAUNCH THUMBSIZE 2 AUTOSTART PAUSE 2 T 9 PAUSE 2 LOOP 10 ]]
|position = center
|style = width:360px;
}}

A different example was given by [[M. I. Wright]] in August 2017,<ref name="post49477" /> based on a suitable reaction identified by [[Wojowu]] in January 2012;<ref name="post5939" /> their pattern evolves into different one-cell thick pattern (albeit on a different axis) in generation 128, and subsequently into two [[traffic light]]s in generation 148:

{{EmbedViewer
|pname = unidimensional2unidimensional2
|viewerconfig = #C [[ GPS 20 THUMBSIZE 3 ZOOM 12 WIDTH 1100 HEIGHT 500 AUTOSTART PAUSE 2 T 128 PAUSE 2 LOOP 129 ]]
|position = center
|style = width:360px;
}}

== See also ==
* [[1×N quadratic growth]]

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

== References ==
<references>
<ref name="post155087">{{LinkForumThread
|format = ref
|title = Re: Can we substantiate this claim?
|p = 155087
|author = Dave Greene
|date = December 21, 2022
}}</ref>
<ref name="post33987">{{LinkForumThread
|format = ref
|title = Re: Thread For Your Useless Discoveries
|p = 33987
|author = toroidalet
|date = August 7, 2016
}}</ref>
<ref name="post49477">{{LinkForumThread
|format = ref
|title = Re: 1-Dimensional Patterns
|p = 49477
|author = M.I. Wright
|date = August 20, 2017
}}</ref>
<ref name="post5939">{{LinkForumThread
|format = ref
|title = Re: Thread For Your Accidental Discoveries
|p = 5939
|author = Wojowu
|date = January 13, 2012
}}</ref>
<ref name="post64642">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 64642
|author = wwei23
|date = October 11, 2018
}}</ref>
<ref name="post27410">{{LinkForumThread
|format = ref
|title = How about a unidimensional spaceship?
|p = 27410
|author = Adam P. Goucher
|date = February 14, 2016
}}</ref>
<ref name="post42292">{{LinkForumThread
|format = ref
|p = 42292
|title = Re: Long-lived methuselahs
|date = April 3, 2017
}}
</ref>
<ref name="post14226">{{LinkForumThread
|format = ref
|f = 2
|t = 1406
|p = 14226
|title = Re: Making switch-engines
|author = Chris Cain
|date = November 9, 2014
}}</ref>
<ref name="post51585">{{LinkForumThread
|format = ref
|f = 2
|t = 1406
|p = 51585
|title = Re: Making switch-engines
|author = Chris Cain
|date = October 3, 2017
}}</ref>
</references>

== External links ==
* {{LinkForumThread|f=2|t=1332|title=1-Dimensional Patterns}}

Caterpillar

2025-09-23T15:36:54Z

Calcyman: Include reference so that one needn't manually search for it

{{About|the 17c/45 crawler ship|the adjustable spaceship|Caterloopillar}}
{{Spaceship
|name = Caterpillar
|pname = caterpillar
|c = 11880063
|bx = 4195
|by = 330721
|dir = Orthogonal
|p = 270
|m = 270
|s = 17c/45
|z = 102c/270
|h = 12114897.5
|symmetry = n
|discoverer = Gabriel Nivasch
|discoverer2 = David Bell
|discoverer3 = Jason Summers
|discoveryear = 2004
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|mc = true
|zip = true
|eppsteinid = 1
}}
The '''Caterpillar''' is the first [[17c/45 orthogonal]] [[spaceship]] to be constructed, and is the first [[engineered spaceship]] based on a [[crawler]] with a [[17c/45 reaction]]. It was the only known (barring minor modifications described below) 17c/45 orthogonal spaceship until the construction of the [[Speed Orthogonoid]] in {{year|2022}}. It was created via a combination of manually-constructed parts put together by [[David Bell]], [[Jason Summers]] and [[Gabriel Nivasch]] and a computer-aided construction coded by Nivasch. The Caterpillar's construction cost lots of time before completion on December 31, {{year|2004}}.

{|
|<gallery>
Cat picture01.png|thumb|left|Full view of caterpillar, 40 cells/pixel (click to view)
</gallery>
|{{#ev:youtube|f2dETmyeiK0|300|left|Various zoom levels of caterpillar demonstrating its size}}
|}

Caterpillar has 11,880,063 [[cell]]s which can be reduced to 11,880,039 cells trivially.<ref name="post32418" /> In terms of [[population]], it was one of the largest patterns constructed in [[Game of Life]] up to that point; in terms of spaceships, it was perhaps the largest interesting spaceship until June 2023, which saw it surpassed by a currently [[unnamed (34,7)c/156 spaceship]] by [[Luka Okanishi]] of more than double the minimum population. The image of the caterpillar shown to the right is zoomed out to a scale of 32 cells per pixel, showing only the top 3% of it. Encoded as an [[RLE]] file, it is over 29MB in size.

The spaceship moves at the speed of 17c/45, the fourth fastest known orthogonal speed (excluding those achievable by some [[adjustable spaceship]]s), which may initially seem counterintuitive due to its size. However, this speed is ingrained into the fundamental crawler reaction and is entirely unrelated to the length of the spaceship. After each of the longest-lived LWSSes is created near the back of the spaceship, it takes almost 2,688,000 ticks for that LWSS to travel to the front of the spaceship and be used in the helix burning reaction. However, every 270 ticks the entire configuration returns to its previous state, but shifted forward by 102 cells.

Since at least 2013, some effort has been invested into constructing a smaller 17c/45 spaceship based on the same reaction, which has yet to come to fruition.<ref>https://conwaylife.com/forums/viewtopic.php?t=1258</ref>

== See also ==
* [[Centipede]]
* [[HBK caterpillar]]

== References ==
<references>
<ref name="post32418">{{LinkForumThread
|format = ref
|title = Re: Caterpillar's little brother research
|p = 32418
|author = Dave Greene
|date = June 28, 2016
}}</ref>
</references>

== External links ==
* {{LinkLexicon|lex_c.htm#caterpillar}}
* {{cite web
|url=http://www.gabrielnivasch.org/fun/life/caterpillar
|title=The 17c/45 Caterpillar spaceship
|work=Gabriel Nivasch's Life page
|date=January 2005
}} A "brief overview" of how the Caterpillar works (with illustrations and RLE files of parts), the pattern in RLE format, plus complete C++ & RLE sources for assembling it.
* {{cite web
|url=https://entropymine.com/jason/life/17c45/
|title=17c/45 "Caterpillar" spaceship
|work=Jason Summer's Life page
}} A short summary of what the Caterpillar is with a few pictures, plus the pattern in RLE and .mc (macrocell) formats. Golly loads the macrocell file '''much''' more quickly than the RLE. 

* {{LinkEppsteinRule|rule=b3s23|rulename=Life (B3/S23)|archivedate=20160309235206}} 
* {{LinkGoLNews|2004/12/new_17c45_spaceship_the_caterp.html|title=New 17c/45 Spaceship: The Caterpillar|date=December 31, 2004|author=Heinrich Koenig}}

[[Category:Non-monotonic_spaceships]]
[[Category:Engineered spaceships]]
[[Category:Macro-spaceships]]
__NOTOC__

(34,7)c/156 spaceship

2025-09-23T15:35:33Z

Calcyman: better target

#REDIRECT [[Unnamed (34,7)c/156 spaceship]]

Period-14 glider gun

2025-03-16T16:20:20Z

Calcyman: update infobox to Sokwe's version

{{Gun
|name = Period 14 glider gun
|pname = period14glidergun
|c = 706
|bx = 72
|by = 64
|p = 14
|b = 1
|discoverer = Matthias Merzenich
|discoveryear = 2025
|rle = true
|viewerconfig = #C [[ ZOOM 4 AUTOSTART ]]
}}
A '''period-14 glider gun''' is any glider gun which emits a period 14 glider stream, which is the lowest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The first true-period p14 glider gun was discovered by [[Matthias Merzenich]] on 16th March 2025<ref name="post207074" />, obtained by discovering a bespoke period-7 oscillator to liberate a glider from a p14 oscillator by James Pascua.

==Pseudo-period guns==

The first pseudo-period 14 gun was designed by [[Dietrich Leithner]] on 26th November 1994. It had a bounding box of {{times|1716|1662}}, and produced a period-14 output stream by interleaving 15 streams of period 210 by means of [[glider injection gate]]s. Leithner subsequently optimised the gun in both 1995 and 1996. The gun from August 7, {{year|1996}} has a bounding box of {{times|695|689}}:

{{EmbedViewer
|pname = p14gunleithner
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 800 WIDTH 800 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 1 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Dietrich Leithner's p14 gun from 1996
|style = width:300px;
}}
[[Dean Hickerson]] moved several of the period-210 guns to shrink the bounding box to {{times|528|522}}. [[Jason Summers]] reduced this to {{times|440|307}} on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 [[bouncer]]s:

{{EmbedViewer
|pname = p14summers
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 640 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Jason Summers' p14 gun
|style = width:300px;
}}

Further improvements followed by redesigning the gun with a different base period. [[Karel Suhajda]] built a smaller gun in February 2004 (shown below), which operates at a base period of 70 and uses [[Herschel]] sources to manufacture the [[lightweight spaceship]]s for the injection gates:

{{EmbedViewer
|pname = pseudoperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 780 WIDTH 850 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 70 ]]
|position = center
|caption = bounding box {{times|385|337}}
|style = width:300px;
}}

[[Chris Cain]] discovered a period-84 [[Herschel]] source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the [[34P14 shuttle]] or the [[period-28 glider gun]].<ref name="post115938" /> The final version at this base period was 236-by-213, built by [[Adam P. Goucher]] in December 2020:

{{EmbedViewer
|pname = p14orbital
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 880 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = pseudo-period-14 gun with a base period of 84
|style = width:300px;
}}

[[Tanner Jacobi]] created a slightly smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun):

{{EmbedViewer
|pname = p14jacobi
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 840 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 28 ]]
|position = center
|caption = Tanner Jacobi's p14 gun
|style = width:300px;
}}

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, {{year|2021}} using [[p21 B-heptomino hassler]]s both as a period-21 gun and as a sparker to convert gliders to [[LWSS]]es. The true period of that gun is 42:<ref name="post135004" />

{{EmbedViewer
|pname = pseudop14gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 640 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = Former smallest pseudo-period p14 gun
|style = width:300px;
}}

The smallest pseudo period-14 gun known to date was found by [[iNoMed]] (with slight improvements by Goucher and Jacobi) on February 14, {{year|2022}}, based on [[p4-assisted period-28 glider gun|a smaller p28 gun]] found by [[James Pascua]] the same day, and therefore has a true period of 28.<ref name="post141628" /><ref name="message942877372049403946" /> Further improvements were found on April 24-25, {{year|2022}}, by iNoMed, Jacobi, Pascua, and Merzenich.<ref name="post144736" /> The newest version has a 110-by-84 bounding box<ref name="post147464" /> and is shown below:

{{EmbedViewer
|pname = p4assistedperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 720 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 GPS 14 AUTOSTART LOOP 420 ]]
|position = center
|caption = Current smallest pseudo-period p14 gun
|style = width:300px;
}}

==References==
<references>
<ref name="message942877372049403946">{{CiteDiscord
|author = Tanner Jacobi
|date = February 14, 2022
|channel = cgol
|id = 942877372049403946
}}</ref>
<ref name="post115938">{{LinkForumThread
|format = ref
|p = 115938
|title = Re: Gun Discussion Thread
|author = Tanner Jacobi
|date = December 16, 2020
}}</ref>
<ref name="post135004">{{LinkForumThread
|format = ref
|p = 135004
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Adam P. Goucher
|date = August 16, 2021
}}</ref>
<ref name="post141628">{{LinkForumThread
|format = ref
|p = 141628
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = February 14, 2022
}}</ref>
<ref name="post144736">{{LinkForumThread
|format = ref
|f = 2
|t = 1657
|p = 144736
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = April 25, 2022
}}</ref>
<ref name="post147464">{{LinkForumThread
|format = ref
|p = 147464
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = June 23, 2022
}}</ref>
<ref name="post207074">{{LinkForumThread
|format = ref
|p = 207074
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = March 16, 2025
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#p14gun|name=p14 gun}}

Period-14 glider gun

2025-03-16T16:17:26Z

Calcyman: add subheading for pseudo-period p14 guns

{{Gun
|name = Pseudo-period 14 glider gun
|pname = p14gunleithner
|c = 12373
|bx = 695
|by = 689
|p = 210
|b = 1
|discoverer = Dietrich Leithner
|discoveryear = 1994
|rle = true
|viewerconfig = #C [[ ZOOM -1.5 AUTOSTART OFF ]]
|hideimg = true
}}
A '''period-14 glider gun''' is any glider gun which emits a period 14 glider stream, which is the lowest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The first true-period p14 glider gun was discovered by [[Matthias Merzenich]] on 16th March 2025<ref name="post207074" />, obtained by discovering a bespoke period-7 oscillator to liberate a glider from a p14 oscillator by James Pascua.

==Pseudo-period guns==

The first pseudo-period 14 gun was designed by [[Dietrich Leithner]] on 26th November 1994. It had a bounding box of {{times|1716|1662}}, and produced a period-14 output stream by interleaving 15 streams of period 210 by means of [[glider injection gate]]s. Leithner subsequently optimised the gun in both 1995 and 1996. The gun from August 7, {{year|1996}} has a bounding box of {{times|695|689}}:

{{EmbedViewer
|pname = p14gunleithner
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 800 WIDTH 800 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 1 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Dietrich Leithner's p14 gun from 1996
|style = width:300px;
}}
[[Dean Hickerson]] moved several of the period-210 guns to shrink the bounding box to {{times|528|522}}. [[Jason Summers]] reduced this to {{times|440|307}} on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 [[bouncer]]s:

{{EmbedViewer
|pname = p14summers
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 640 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Jason Summers' p14 gun
|style = width:300px;
}}

Further improvements followed by redesigning the gun with a different base period. [[Karel Suhajda]] built a smaller gun in February 2004 (shown below), which operates at a base period of 70 and uses [[Herschel]] sources to manufacture the [[lightweight spaceship]]s for the injection gates:

{{EmbedViewer
|pname = pseudoperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 780 WIDTH 850 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 70 ]]
|position = center
|caption = bounding box {{times|385|337}}
|style = width:300px;
}}

[[Chris Cain]] discovered a period-84 [[Herschel]] source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the [[34P14 shuttle]] or the [[period-28 glider gun]].<ref name="post115938" /> The final version at this base period was 236-by-213, built by [[Adam P. Goucher]] in December 2020:

{{EmbedViewer
|pname = p14orbital
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 880 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = pseudo-period-14 gun with a base period of 84
|style = width:300px;
}}

[[Tanner Jacobi]] created a slightly smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun):

{{EmbedViewer
|pname = p14jacobi
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 840 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 28 ]]
|position = center
|caption = Tanner Jacobi's p14 gun
|style = width:300px;
}}

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, {{year|2021}} using [[p21 B-heptomino hassler]]s both as a period-21 gun and as a sparker to convert gliders to [[LWSS]]es. The true period of that gun is 42:<ref name="post135004" />

{{EmbedViewer
|pname = pseudop14gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 640 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = Former smallest pseudo-period p14 gun
|style = width:300px;
}}

The smallest pseudo period-14 gun known to date was found by [[iNoMed]] (with slight improvements by Goucher and Jacobi) on February 14, {{year|2022}}, based on [[p4-assisted period-28 glider gun|a smaller p28 gun]] found by [[James Pascua]] the same day, and therefore has a true period of 28.<ref name="post141628" /><ref name="message942877372049403946" /> Further improvements were found on April 24-25, {{year|2022}}, by iNoMed, Jacobi, Pascua, and Merzenich.<ref name="post144736" /> The newest version has a 110-by-84 bounding box<ref name="post147464" /> and is shown below:

{{EmbedViewer
|pname = p4assistedperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 720 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 GPS 14 AUTOSTART LOOP 420 ]]
|position = center
|caption = Current smallest pseudo-period p14 gun
|style = width:300px;
}}

==References==
<references>
<ref name="message942877372049403946">{{CiteDiscord
|author = Tanner Jacobi
|date = February 14, 2022
|channel = cgol
|id = 942877372049403946
}}</ref>
<ref name="post115938">{{LinkForumThread
|format = ref
|p = 115938
|title = Re: Gun Discussion Thread
|author = Tanner Jacobi
|date = December 16, 2020
}}</ref>
<ref name="post135004">{{LinkForumThread
|format = ref
|p = 135004
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Adam P. Goucher
|date = August 16, 2021
}}</ref>
<ref name="post141628">{{LinkForumThread
|format = ref
|p = 141628
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = February 14, 2022
}}</ref>
<ref name="post144736">{{LinkForumThread
|format = ref
|f = 2
|t = 1657
|p = 144736
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = April 25, 2022
}}</ref>
<ref name="post147464">{{LinkForumThread
|format = ref
|p = 147464
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = June 23, 2022
}}</ref>
<ref name="post207074">{{LinkForumThread
|format = ref
|p = 207074
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = March 16, 2025
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#p14gun|name=p14 gun}}

Period-14 glider gun

2025-03-16T16:15:40Z

Calcyman: use real name in references for consistency with other references

{{Gun
|name = Pseudo-period 14 glider gun
|pname = p14gunleithner
|c = 12373
|bx = 695
|by = 689
|p = 210
|b = 1
|discoverer = Dietrich Leithner
|discoveryear = 1994
|rle = true
|viewerconfig = #C [[ ZOOM -1.5 AUTOSTART OFF ]]
|hideimg = true
}}
A '''period-14 glider gun''' is any glider gun which emits a period 14 glider stream, which is the lowest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The first true-period p14 glider gun was discovered by [[Matthias Merzenich]] on 16th March 2025<ref name="post207074" />, obtained by discovering a bespoke period-7 oscillator to liberate a glider from a p14 oscillator by James Pascua.

The first pseudo-period 14 gun was designed by [[Dietrich Leithner]] on 26th November 1994. It had a bounding box of {{times|1716|1662}}, and produced a period-14 output stream by interleaving 15 streams of period 210 by means of [[glider injection gate]]s. Leithner subsequently optimised the gun in both 1995 and 1996. The gun from August 7, {{year|1996}} has a bounding box of {{times|695|689}}:

{{EmbedViewer
|pname = p14gunleithner
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 800 WIDTH 800 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 1 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Dietrich Leithner's p14 gun from 1996
|style = width:300px;
}}
[[Dean Hickerson]] moved several of the period-210 guns to shrink the bounding box to {{times|528|522}}. [[Jason Summers]] reduced this to {{times|440|307}} on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 [[bouncer]]s:

{{EmbedViewer
|pname = p14summers
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 640 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Jason Summers' p14 gun
|style = width:300px;
}}

Further improvements followed by redesigning the gun with a different base period. [[Karel Suhajda]] built a smaller gun in February 2004 (shown below), which operates at a base period of 70 and uses [[Herschel]] sources to manufacture the [[lightweight spaceship]]s for the injection gates:

{{EmbedViewer
|pname = pseudoperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 780 WIDTH 850 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 70 ]]
|position = center
|caption = bounding box {{times|385|337}}
|style = width:300px;
}}

[[Chris Cain]] discovered a period-84 [[Herschel]] source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the [[34P14 shuttle]] or the [[period-28 glider gun]].<ref name="post115938" /> The final version at this base period was 236-by-213, built by [[Adam P. Goucher]] in December 2020:

{{EmbedViewer
|pname = p14orbital
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 880 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = pseudo-period-14 gun with a base period of 84
|style = width:300px;
}}

[[Tanner Jacobi]] created a slightly smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun):

{{EmbedViewer
|pname = p14jacobi
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 840 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 28 ]]
|position = center
|caption = Tanner Jacobi's p14 gun
|style = width:300px;
}}

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, {{year|2021}} using [[p21 B-heptomino hassler]]s both as a period-21 gun and as a sparker to convert gliders to [[LWSS]]es. The true period of that gun is 42:<ref name="post135004" />

{{EmbedViewer
|pname = pseudop14gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 640 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = Former smallest pseudo-period p14 gun
|style = width:300px;
}}

The smallest pseudo period-14 gun known to date was found by [[iNoMed]] (with slight improvements by Goucher and Jacobi) on February 14, {{year|2022}}, based on [[p4-assisted period-28 glider gun|a smaller p28 gun]] found by [[James Pascua]] the same day, and therefore has a true period of 28.<ref name="post141628" /><ref name="message942877372049403946" /> Further improvements were found on April 24-25, {{year|2022}}, by iNoMed, Jacobi, Pascua, and Merzenich.<ref name="post144736" /> The newest version has a 110-by-84 bounding box<ref name="post147464" /> and is shown below:

{{EmbedViewer
|pname = p4assistedperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 720 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 GPS 14 AUTOSTART LOOP 420 ]]
|position = center
|caption = Current smallest pseudo-period p14 gun
|style = width:300px;
}}

==References==
<references>
<ref name="message942877372049403946">{{CiteDiscord
|author = Tanner Jacobi
|date = February 14, 2022
|channel = cgol
|id = 942877372049403946
}}</ref>
<ref name="post115938">{{LinkForumThread
|format = ref
|p = 115938
|title = Re: Gun Discussion Thread
|author = Tanner Jacobi
|date = December 16, 2020
}}</ref>
<ref name="post135004">{{LinkForumThread
|format = ref
|p = 135004
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Adam P. Goucher
|date = August 16, 2021
}}</ref>
<ref name="post141628">{{LinkForumThread
|format = ref
|p = 141628
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = February 14, 2022
}}</ref>
<ref name="post144736">{{LinkForumThread
|format = ref
|f = 2
|t = 1657
|p = 144736
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = April 25, 2022
}}</ref>
<ref name="post147464">{{LinkForumThread
|format = ref
|p = 147464
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = June 23, 2022
}}</ref>
<ref name="post207074">{{LinkForumThread
|format = ref
|p = 207074
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = March 16, 2025
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#p14gun|name=p14 gun}}

Period-14 glider gun

2025-03-16T16:14:56Z

Calcyman: bugfix

{{Gun
|name = Pseudo-period 14 glider gun
|pname = p14gunleithner
|c = 12373
|bx = 695
|by = 689
|p = 210
|b = 1
|discoverer = Dietrich Leithner
|discoveryear = 1994
|rle = true
|viewerconfig = #C [[ ZOOM -1.5 AUTOSTART OFF ]]
|hideimg = true
}}
A '''period-14 glider gun''' is any glider gun which emits a period 14 glider stream, which is the lowest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The first true-period p14 glider gun was discovered by [[Matthias Merzenich]] on 16th March 2025<ref name="post207074" />, obtained by discovering a bespoke period-7 oscillator to liberate a glider from a p14 oscillator by James Pascua.

The first pseudo-period 14 gun was designed by [[Dietrich Leithner]] on 26th November 1994. It had a bounding box of {{times|1716|1662}}, and produced a period-14 output stream by interleaving 15 streams of period 210 by means of [[glider injection gate]]s. Leithner subsequently optimised the gun in both 1995 and 1996. The gun from August 7, {{year|1996}} has a bounding box of {{times|695|689}}:

{{EmbedViewer
|pname = p14gunleithner
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 800 WIDTH 800 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 1 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Dietrich Leithner's p14 gun from 1996
|style = width:300px;
}}
[[Dean Hickerson]] moved several of the period-210 guns to shrink the bounding box to {{times|528|522}}. [[Jason Summers]] reduced this to {{times|440|307}} on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 [[bouncer]]s:

{{EmbedViewer
|pname = p14summers
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 640 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Jason Summers' p14 gun
|style = width:300px;
}}

Further improvements followed by redesigning the gun with a different base period. [[Karel Suhajda]] built a smaller gun in February 2004 (shown below), which operates at a base period of 70 and uses [[Herschel]] sources to manufacture the [[lightweight spaceship]]s for the injection gates:

{{EmbedViewer
|pname = pseudoperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 780 WIDTH 850 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 70 ]]
|position = center
|caption = bounding box {{times|385|337}}
|style = width:300px;
}}

[[Chris Cain]] discovered a period-84 [[Herschel]] source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the [[34P14 shuttle]] or the [[period-28 glider gun]].<ref name="post115938" /> The final version at this base period was 236-by-213, built by [[Adam P. Goucher]] in December 2020:

{{EmbedViewer
|pname = p14orbital
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 880 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = pseudo-period-14 gun with a base period of 84
|style = width:300px;
}}

[[Tanner Jacobi]] created a slightly smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun):

{{EmbedViewer
|pname = p14jacobi
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 840 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 28 ]]
|position = center
|caption = Tanner Jacobi's p14 gun
|style = width:300px;
}}

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, {{year|2021}} using [[p21 B-heptomino hassler]]s both as a period-21 gun and as a sparker to convert gliders to [[LWSS]]es. The true period of that gun is 42:<ref name="post135004" />

{{EmbedViewer
|pname = pseudop14gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 640 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = Former smallest pseudo-period p14 gun
|style = width:300px;
}}

The smallest pseudo period-14 gun known to date was found by [[iNoMed]] (with slight improvements by Goucher and Jacobi) on February 14, {{year|2022}}, based on [[p4-assisted period-28 glider gun|a smaller p28 gun]] found by [[James Pascua]] the same day, and therefore has a true period of 28.<ref name="post141628" /><ref name="message942877372049403946" /> Further improvements were found on April 24-25, {{year|2022}}, by iNoMed, Jacobi, Pascua, and Merzenich.<ref name="post144736" /> The newest version has a 110-by-84 bounding box<ref name="post147464" /> and is shown below:

{{EmbedViewer
|pname = p4assistedperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 720 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 GPS 14 AUTOSTART LOOP 420 ]]
|position = center
|caption = Current smallest pseudo-period p14 gun
|style = width:300px;
}}

==References==
<references>
<ref name="message942877372049403946">{{CiteDiscord
|author = Tanner Jacobi
|date = February 14, 2022
|channel = cgol
|id = 942877372049403946
}}</ref>
<ref name="post115938">{{LinkForumThread
|format = ref
|p = 115938
|title = Re: Gun Discussion Thread
|author = Tanner Jacobi
|date = December 16, 2020
}}</ref>
<ref name="post135004">{{LinkForumThread
|format = ref
|p = 135004
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Adam P. Goucher
|date = August 16, 2021
}}</ref>
<ref name="post141628">{{LinkForumThread
|format = ref
|p = 141628
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = February 14, 2022
}}</ref>
<ref name="post144736">{{LinkForumThread
|format = ref
|f = 2
|t = 1657
|p = 144736
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = April 25, 2022
}}</ref>
<ref name="post147464">{{LinkForumThread
|format = ref
|p = 147464
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = June 23, 2022
}}</ref>
<ref name="post207074">{{LinkForumThread
|format = ref
|p = 207074
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Sokwe
|date = March 16, 2025
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#p14gun|name=p14 gun}}

Period-14 glider gun

2025-03-16T16:14:19Z

Calcyman:

{{Gun
|name = Pseudo-period 14 glider gun
|pname = p14gunleithner
|c = 12373
|bx = 695
|by = 689
|p = 210
|b = 1
|discoverer = Dietrich Leithner
|discoveryear = 1994
|rle = true
|viewerconfig = #C [[ ZOOM -1.5 AUTOSTART OFF ]]
|hideimg = true
}}
A '''period-14 glider gun''' is any glider gun which emits a period 14 glider stream, which is the lowest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The first true-period p14 glider gun was discovered by [[Matthias Merzenich]] on 16th March 2025<ref name="post207074" />, obtained by discovering a bespoke period-7 oscillator to liberate a glider from a p14 oscillator by James Pascua.

The first pseudo-period 14 gun was designed by [[Dietrich Leithner]] on 26th November 1994. It had a bounding box of {{times|1716|1662}}, and produced a period-14 output stream by interleaving 15 streams of period 210 by means of [[glider injection gate]]s. Leithner subsequently optimised the gun in both 1995 and 1996. The gun from August 7, {{year|1996}} has a bounding box of {{times|695|689}}:

{{EmbedViewer
|pname = p14gunleithner
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 800 WIDTH 800 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 1 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Dietrich Leithner's p14 gun from 1996
|style = width:300px;
}}
[[Dean Hickerson]] moved several of the period-210 guns to shrink the bounding box to {{times|528|522}}. [[Jason Summers]] reduced this to {{times|440|307}} on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 [[bouncer]]s:

{{EmbedViewer
|pname = p14summers
|viewerconfig = #C [[ MAXGRIDSIZE 10 HEIGHT 640 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 420 ]]
|position = center
|caption = Jason Summers' p14 gun
|style = width:300px;
}}

Further improvements followed by redesigning the gun with a different base period. [[Karel Suhajda]] built a smaller gun in February 2004 (shown below), which operates at a base period of 70 and uses [[Herschel]] sources to manufacture the [[lightweight spaceship]]s for the injection gates:

{{EmbedViewer
|pname = pseudoperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 780 WIDTH 850 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 GPS 14 AUTOSTART OFF LOOP 70 ]]
|position = center
|caption = bounding box {{times|385|337}}
|style = width:300px;
}}

[[Chris Cain]] discovered a period-84 [[Herschel]] source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the [[34P14 shuttle]] or the [[period-28 glider gun]].<ref name="post115938" /> The final version at this base period was 236-by-213, built by [[Adam P. Goucher]] in December 2020:

{{EmbedViewer
|pname = p14orbital
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 880 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = pseudo-period-14 gun with a base period of 84
|style = width:300px;
}}

[[Tanner Jacobi]] created a slightly smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun):

{{EmbedViewer
|pname = p14jacobi
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 840 WIDTH 960 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 28 ]]
|position = center
|caption = Tanner Jacobi's p14 gun
|style = width:300px;
}}

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, {{year|2021}} using [[p21 B-heptomino hassler]]s both as a period-21 gun and as a sparker to convert gliders to [[LWSS]]es. The true period of that gun is 42:<ref name="post135004" />

{{EmbedViewer
|pname = pseudop14gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 640 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 GPS 14 AUTOSTART OFF LOOP 84 ]]
|position = center
|caption = Former smallest pseudo-period p14 gun
|style = width:300px;
}}

The smallest pseudo period-14 gun known to date was found by [[iNoMed]] (with slight improvements by Goucher and Jacobi) on February 14, {{year|2022}}, based on [[p4-assisted period-28 glider gun|a smaller p28 gun]] found by [[James Pascua]] the same day, and therefore has a true period of 28.<ref name="post141628" /><ref name="message942877372049403946" /> Further improvements were found on April 24-25, {{year|2022}}, by iNoMed, Jacobi, Pascua, and Merzenich.<ref name="post144736" /> The newest version has a 110-by-84 bounding box<ref name="post147464" /> and is shown below:

{{EmbedViewer
|pname = p4assistedperiod14glidergun
|viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 640 WIDTH 720 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 GPS 14 AUTOSTART LOOP 420 ]]
|position = center
|caption = Current smallest pseudo-period p14 gun
|style = width:300px;
}}

==References==
<references>
<ref name="message942877372049403946">{{CiteDiscord
|author = Tanner Jacobi
|date = February 14, 2022
|channel = cgol
|id = 942877372049403946
}}</ref>
<ref name="post115938">{{LinkForumThread
|format = ref
|p = 115938
|title = Re: Gun Discussion Thread
|author = Tanner Jacobi
|date = December 16, 2020
}}</ref>
<ref name="post135004">{{LinkForumThread
|format = ref
|p = 135004
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Adam P. Goucher
|date = August 16, 2021
}}</ref>
<ref name="post141628">{{LinkForumThread
|format = ref
|p = 141628
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = February 14, 2022
}}</ref>
<ref name="post144736">{{LinkForumThread
|format = ref
|f = 2
|t = 1657
|p = 144736
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Matthias Merzenich
|date = April 25, 2022
}}</ref>
<ref name="post147464">{{LinkForumThread
|format = ref
|p = 147464
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = iNoMed
|date = June 23, 2022
}}</ref>
</references>
<ref name="post207074">{{LinkForumThread
|format = ref
|p = 207074
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|author = Sokwe
|date = March 16, 2025
}}</ref>
</references>

==External links==
* {{LinkLexicon|lex_p.htm#p14gun|name=p14 gun}}

OCA:Sqrt replicator rule

2023-12-09T12:16:24Z

Calcyman: Remove proposed move template now that it's been moved

{{Rule
|name = B36/S245
|char = Stable
|b = 36
|s = 245
|ruleinteger = 26696
|reversal = B012578/S0134678
}}
The rule '''B36/S245''', or '''Sqrt replicator rule''', is a [[Life-like cellular automaton]] in which [[cell]]s survive from one [[generation]] to the next if they have 2, 4, or 5 [[Moore neighbourhood|neighbours]] and are born if they have 3 or 6 neighbours.
The cellular automaton has [[rulestring]] B36/S245, and differs from the "nearby" {{rl|Move}} (B368/S245) in the lack of birth on 8 alive neighbours.
The time required to stabilize is generally much shorter than in [[Conway's Game of Life]].

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

==Notable patterns==

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

{{EmbedViewer
|pname = b36s245replicator
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The namesake replicator with <tt>Θ({{sqrt|t}})</tt> growth.
|style = width:300px;
}}

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

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

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

====Growth bounds====
{{cleanup}}
Per the convention in [[OCA:Rule 225|Rule 225]], let <tt>b2(n)</tt> be the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number. (ie. <tt>1110 = 10112</tt>, so <tt>b2(7) = 10114 = 6910</tt>)<ref group="n">Sequence <tt>{{OEIS|A000695|tt=tt}}</tt> in the OEIS.</ref>

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

===Spaceships===
The rule has several known elementary spaceships, the smallest ones having speeds of [[c/4 orthogonal]], 4c/23 orthogonal, and [[c/7 diagonal]], shown below. Other known elementary spaceship speeds include [[c/2 orthogonal]], [[c/3 orthogonal]], [[c/5 orthogonal]], [[2c/5 orthogonal]], [[c/6 orthogonal]], [[c/7 orthogonal]], c/3 diagonal, [[c/4 diagonal]],<ref>{{LinkEppsteinRule|b36s245|rulename=B36/S245|archivedate=20160310000536}}</ref> and [[(2,1)c/6]].<ref name="post116552" />

{{EmbedViewer
|pname = b36s245spaceships
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|style = width:300px;
}}

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

===Linear growth===

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

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

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

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

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

==See also==
*[[OCA:Rule 225|Rule 225]], another one-dimensional cellular automaton exhibiting <tt>Θ({{sqrt|t}})</tt> growth.

==References==
<references>
<ref name="post94136">{{LinkForumThread
|format = ref
|p = 94136
|title = Re: Miscellaneous Discoveries in Other Cellular Automata
|author = AforAmpere
|date = April 11, 2020
}}</ref>
<ref name="post102490">{{LinkForumThread
|format = ref
|p = 102490
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 19, 2020
}}</ref>
<ref name="post116552">{{LinkForumThread
|format = ref
|p = 116552
|title = Re: B36/S245
|author = LaundryPizza03
|date = December 21, 2020
}}</ref>
<ref name="post131028">{{LinkForumThread
|format = ref
|p = 131028
|title = Re: B36/S245
|author = Luka Okanishi
|date = May 28, 2021
}}</ref>
<ref name="post151314">{{LinkForumThread
|format = ref
|p = 151314
|title = Re: B36/S245
|author = FWKnightship
|date = September 23, 2022
}}</ref>
<ref name="post151339">{{LinkForumThread
|format = ref
|p = 151339
|title = Re: B36/S245
|author = Peter Naszvadi
|date = September 24, 2022
}}</ref>
<ref name="post151345">{{LinkForumThread
|format = ref
|p = 151345
|title = Re: B36/S245
|author = toroidalet
|date = September 24, 2022
}}</ref>
<ref name="post151347">{{LinkForumThread
|format = ref
|p = 151347
|title = Re: B36/S245
|author = FWKnightship
|date = September 24, 2022
}}</ref>
</references>

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

[[Category:Life-like cellular automata]]
__NOTOC__

OCA:Sqrt replicator rule

2023-12-09T02:53:50Z

Calcyman: Unrevert hotdogPi's self-revert of hotdogPi's revert of confocaloid's revert of my removal of the move template

{{Rule
|name = B36/S245
|char = Stable
|b = 36
|s = 245
|ruleinteger = 26696
|reversal = B012578/S0134678
}}
The rule '''B36/S245''', or '''Sqrt replicator rule''', is a [[Life-like cellular automaton]] in which [[cell]]s survive from one [[generation]] to the next if they have 2, 4, or 5 [[Moore neighbourhood|neighbours]] and are born if they have 3 or 6 neighbours.
The cellular automaton has [[rulestring]] B36/S245, and differs from a "nearby" {{rl|Move}} (B368/S245) in the lack of birth on 8 alive neighbours.
The time required to stabilize is generally much shorter than in [[Conway's Game of Life]].

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

==Notable patterns==

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

{{EmbedViewer
|pname = b36s245replicator
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The namesake replicator with <tt>Θ({{sqrt|t}})</tt> growth.
|style = width:300px;
}}

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

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

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

====Growth bounds====
{{cleanup}}
Per the convention in [[OCA:Rule 225|Rule 225]], let <tt>b2(n)</tt> be the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number. (ie. <tt>1110 = 10112</tt>, so <tt>b2(7) = 10114 = 6910</tt>)<ref group="n">Sequence <tt>{{OEIS|A000695|tt=tt}}</tt> in the OEIS.</ref>

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

===Spaceships===
The rule has several known elementary spaceships, the smallest ones having speeds of [[c/4 orthogonal]], 4c/23 orthogonal, and [[c/7 diagonal]], shown below. Other known elementary spaceship speeds include [[c/2 orthogonal]], [[c/3 orthogonal]], [[c/5 orthogonal]], [[2c/5 orthogonal]], [[c/6 orthogonal]], [[c/7 orthogonal]], c/3 diagonal, [[c/4 diagonal]],<ref>{{LinkEppsteinRule|b36s245|rulename=B36/S245|archivedate=20160310000536}}</ref> and [[(2,1)c/6]].<ref name="post116552" />

{{EmbedViewer
|pname = b36s245spaceships
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|style = width:300px;
}}

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

===Linear growth===

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

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

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

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

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

==See also==
*[[OCA:Rule 225|Rule 225]], another one-dimensional cellular automaton exhibiting <tt>Θ({{sqrt|t}})</tt> growth.

==References==
<references>
<ref name="post94136">{{LinkForumThread
|format = ref
|p = 94136
|title = Re: Miscellaneous Discoveries in Other Cellular Automata
|author = AforAmpere
|date = April 11, 2020
}}</ref>
<ref name="post102490">{{LinkForumThread
|format = ref
|p = 102490
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 19, 2020
}}</ref>
<ref name="post116552">{{LinkForumThread
|format = ref
|p = 116552
|title = Re: B36/S245
|author = LaundryPizza03
|date = December 21, 2020
}}</ref>
<ref name="post131028">{{LinkForumThread
|format = ref
|p = 131028
|title = Re: B36/S245
|author = Luka Okanishi
|date = May 28, 2021
}}</ref>
<ref name="post151314">{{LinkForumThread
|format = ref
|p = 151314
|title = Re: B36/S245
|author = FWKnightship
|date = September 23, 2022
}}</ref>
<ref name="post151339">{{LinkForumThread
|format = ref
|p = 151339
|title = Re: B36/S245
|author = Peter Naszvadi
|date = September 24, 2022
}}</ref>
<ref name="post151345">{{LinkForumThread
|format = ref
|p = 151345
|title = Re: B36/S245
|author = toroidalet
|date = September 24, 2022
}}</ref>
<ref name="post151347">{{LinkForumThread
|format = ref
|p = 151347
|title = Re: B36/S245
|author = FWKnightship
|date = September 24, 2022
}}</ref>
</references>

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

[[Category:Life-like cellular automata]]
__NOTOC__

Sqrt replicator rule

2023-12-09T00:05:14Z

Calcyman: redirect from main namespace (necessary for linking from Catagolue)

#REDIRECT [[OCA:Sqrt replicator rule]]

OCA:Sqrt replicator rule

2023-12-09T00:02:02Z

Calcyman: Updated nomenclature to reflect page name change

{{Rule
|name = <tt>Θ({{sqrt|t}})</tt> replicator rule
|char = Stable
|b = 36
|s = 245
|ruleinteger = 26696
|reversal = B012578/S0134678
}}
The '''<tt>Θ({{sqrt|t}})</tt> replicator rule''' is a [[Life-like cellular automaton]] in which [[cell]]s survive from one [[generation]] to the next if they have 2, 4, or 5 [[Moore neighbourhood|neighbours]] and are born if they have 3 or 6 neighbours.
The cellular automaton has [[rulestring]] B36/S245, and differs from a "nearby" {{rl|Move}} (B368/S245) in the lack of birth on 8 alive neighbours.
The time required to stabilize is generally much shorter than in [[Conway's Game of Life]].

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

==Notable patterns==

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

{{EmbedViewer
|pname = b36s245replicator
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The namesake replicator with <tt>Θ({{sqrt|t}})</tt> growth.
|style = width:300px;
}}

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

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

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

====Growth bounds====
{{cleanup}}
Per the convention in [[OCA:Rule 225|Rule 225]], let <tt>b2(n)</tt> be the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number. (ie. <tt>1110 = 10112</tt>, so <tt>b2(7) = 10114 = 6910</tt>)<ref group="n">Sequence <tt>{{OEIS|A000695|tt=tt}}</tt> in the OEIS.</ref>

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

===Spaceships===
The rule has several known elementary spaceships, the smallest ones having speeds of [[c/4 orthogonal]], 4c/23 orthogonal, and [[c/7 diagonal]], shown below. Other known elementary spaceship speeds include [[c/2 orthogonal]], [[c/3 orthogonal]], [[c/5 orthogonal]], [[2c/5 orthogonal]], [[c/6 orthogonal]], [[c/7 orthogonal]], c/3 diagonal, [[c/4 diagonal]],<ref>{{LinkEppsteinRule|b36s245|rulename=B36/S245|archivedate=20160310000536}}</ref> and [[(2,1)c/6]].<ref name="post116552" />

{{EmbedViewer
|pname = b36s245spaceships
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|style = width:300px;
}}

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

===Linear growth===

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

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

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

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

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

==See also==
*[[OCA:Rule 225|Rule 225]], another one-dimensional cellular automaton exhibiting <tt>Θ({{sqrt|t}})</tt> growth.

==References==
<references>
<ref name="post94136">{{LinkForumThread
|format = ref
|p = 94136
|title = Re: Miscellaneous Discoveries in Other Cellular Automata
|author = AforAmpere
|date = April 11, 2020
}}</ref>
<ref name="post102490">{{LinkForumThread
|format = ref
|p = 102490
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 19, 2020
}}</ref>
<ref name="post116552">{{LinkForumThread
|format = ref
|p = 116552
|title = Re: B36/S245
|author = LaundryPizza03
|date = December 21, 2020
}}</ref>
<ref name="post131028">{{LinkForumThread
|format = ref
|p = 131028
|title = Re: B36/S245
|author = Luka Okanishi
|date = May 28, 2021
}}</ref>
<ref name="post151314">{{LinkForumThread
|format = ref
|p = 151314
|title = Re: B36/S245
|author = FWKnightship
|date = September 23, 2022
}}</ref>
<ref name="post151339">{{LinkForumThread
|format = ref
|p = 151339
|title = Re: B36/S245
|author = Peter Naszvadi
|date = September 24, 2022
}}</ref>
<ref name="post151345">{{LinkForumThread
|format = ref
|p = 151345
|title = Re: B36/S245
|author = toroidalet
|date = September 24, 2022
}}</ref>
<ref name="post151347">{{LinkForumThread
|format = ref
|p = 151347
|title = Re: B36/S245
|author = FWKnightship
|date = September 24, 2022
}}</ref>
</references>

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

[[Category:Life-like cellular automata]]
__NOTOC__

OCA talk:Logarithmic replicator rule

2023-12-08T23:58:44Z

Calcyman: Calcyman moved page OCA talk:Logarithmic replicator rule to OCA talk:Sqrt replicator rule: See reasoning in https://conwaylife.com/forums/viewtopic.php?f=16&p=172591#p172591

#REDIRECT [[OCA talk:Sqrt replicator rule]]

OCA talk:Sqrt replicator rule

2023-12-08T23:58:44Z

Calcyman: Calcyman moved page OCA talk:Logarithmic replicator rule to OCA talk:Sqrt replicator rule: See reasoning in https://conwaylife.com/forums/viewtopic.php?f=16&p=172591#p172591

== Proper wiki article? ==

Would it be a good idea to make this a proper article? I'm not sure how notable this rule is (I do remember seeing some discussion about it on the forums or elsewhere) but I do want to point out that not only is this page the sole instance of a soft redirect on the wiki, but it's also to an external site and therefore doesn't even work because the template interprets it as an internal link. [[User:Ian07|Ian07]] ([[User talk:Ian07|talk]]) 20:44, 15 February 2019 (UTC)

Yeah, it's quite an interesting rule (the replicator behaviour seems to be unique), and also outer-totalistic. [[User:77topaz|77topaz]] ([[User talk:77topaz|talk]]) 09:55, 3 March 2019 (UTC)
:The asymptotic growth is matched by that of rule 225, however this one is novel due to its isotropicness. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 15:45, 29 September 2023 (UTC)

==Incorrectness of name==
Note that Muzik created this page with the name "Logarithmic replicator rule" despite David Eppstein's page not anywhere describing it as such. (Edit 2023-11-27: They clarified that the name in fact stemmed from [https://conwaylife.com/w/index.php?title=Gun&diff=9793&oldid=9711 a 2009 edit by apg])

The width of the pattern in the equivalent INT rule given by AforAmpere is not in fact logarithmic, it grows with <tt>Θ({{sqrt|t}})</tt>. Where <tt>...</tt>, <tt>.o.</tt>, <tt>o.o</tt> and <tt>ooo</tt> refer to <tt>0</tt>, <tt>1</tt>, <tt>2</tt> and <tt>3</tt>, it is equivalent to the <tt>4</tt>-state range-<tt>1</tt> one-dimensional cellular automaton with rule integer <tt>0x190e002061040c0b86d0010e5980</tt>, here is a demonstration<pre>
from functools import reduce;from itertools import starmap,accumulate;redumulate=lambda f,l,i=None: accumulate(l,f,initial=i);print('\n'.join(starmap(lambda i,n: ' '*(l-i<<1)+''.join(map(lambda i: ' 123'[n>>(i<<1)&3],range(n.bit_length()+1>>1))),enumerate(redumulate(lambda n,i: reduce(int.__or__,map(lambda i: (0x190e002061040c0b86d0010e5980>>((n<<4>>(i<<1)&63)<<1)&3)<<(i+1<<1),range(n.bit_length()+4>>1))),range(l:=64),0b110)))))
</pre>

Anyway, where <tt>l(t)</tt> is the bit-length of the pattern on the <tt>t</tt>th iteration, we have the limiting bounds <tt>2 < {{frac|l(t)|{{sqrt|t}}}} < {{frac|2*{{sqrt|5}}|{{sqrt|3}}}}</tt>. 

As such, I will move the page to [[OCA:Θ(sqrt(t)) replicator rule|OCA:<tt>Θ({{sqrt|t}})</tt> replicator rule]]. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 15:45, 29 September 2023 (UTC)
:Addendum: For what it's worth, it is more similar to [[OCA:Rule 225|rule 225]] than one may expect. I have found explicit forms that may be of interest. Alike [[OCA:Rule 225]], where <tt>b2(n)</tt> (<tt>{{OEIS|A000695|tt=tt}}(n)</tt>) is the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number, in the emulated 4-state Wolfram rule, the left edge's number of generations to grow by <tt>n</tt> cells is {{nowrap|<tt>{{frac|3*n2|4}} < (2*b2(n-1)+b2(⌊{{frac|n-1|2}}⌋)+4 if n>0 else 1) < {{frac|9*n2|4}}</tt>}} and the right edge's by {{nowrap|<tt>{{frac|3*n2|8}} < 3*b2(⌊{{frac|n|2}}⌋+1)+6*b2(⌊{{frac|n+2-2⌊log2(n+2)⌋|2}}⌋)+(n%2)*2+4 < {{frac|3*n2|4}}</tt>}} (where bounds given are asymptotic). The inverse of their sum is slightly harder, but this should be sufficient justification. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 15:58, 10 October 2023 (UTC)

: I am going to move it back. Forum search gives a number of results where people mention this rule by the name "Logarithmic replicator rule". I do not think your proposed alternative is anywhere near common. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 15:49, 29 September 2023 (UTC)
::The commonness matters not, it is correctness that is important. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 15:58, 10 October 2023 (UTC)
::: Both are important. I cannot find any actual uses of your proposed names by others elsewhere, i.e., it is your newly invented terminology. According to [[LifeWiki:Notability]], "To prevent overenthusiastic edits and conflicts of interest, a commonly accepted rule is that the discoverer of a pattern, inventor of new terminology, writer of a program, etc., etc., should not be the one to document that pattern, term, or program on the LifeWiki." In contrast, there are multiple places where 'logarithmic replicator' and/or 'logarithmic replicator rule' is used by various people: [https://conwaylife.com/forums/viewtopic.php?p=78463#p78463 post78463] [https://conwaylife.com/forums/viewtopic.php?p=102490#p102490 post102490] [https://conwaylife.com/forums/viewtopic.php?p=126381#p126381 post126381] [https://conwaylife.com/forums/viewtopic.php?p=129591#p129591 post129591] [https://conwaylife.com/forums/viewtopic.php?p=130676#p130676 post130676] [https://conwaylife.com/forums/viewtopic.php?p=136832#p136832 post136832] [https://conwaylife.com/forums/viewtopic.php?p=151358#p151358 post151358]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 00:24, 11 October 2023 (UTC)

:::: It might be best to just use the rulestring then. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 09:26, 11 October 2023 (UTC)

::::: I added a "proposed move" template transclusion for the rulestring suggestion. [https://conwaylife.com/w/index.php?diff=137871&oldid=137865 As I already clarified], personally I prefer to keep the existing name {{rl|Logarithmic replicator rule}}, because it is how the rule is commonly referred to (forum, Catagolue and most likely elsewhere). A rulestring would be a valid name as well, but then certain people will complain that the rule is "unnamed" and will want to invent a completely new name and put it on LifeWiki ([https://conwaylife.com/w/index.php?title=OCA:Logarithmic_replicator_rule&action=history this already happens]). [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 04:12, 12 October 2023 (UTC)

:::::: After [https://conwaylife.com/w/index.php?title=OCA:Logarithmic_replicator_rule&action=history yet another attempt] to move to an invented name, I [https://conwaylife.com/w/index.php?diff=139082&oldid=139075 removed] proposed move. Obviously there is no consensus for the proposed move to rulestring-based pagename, and there are no alternative names in sufficiently common use either. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 07:34, 21 October 2023 (UTC)

: Related discussion: [[LifeWiki:Tiki_bar#"logarithmic"_replicator_rule_and_prospect_of_"OCA:rule_225"_page]]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 12:41, 30 September 2023 (UTC)

OCA:Logarithmic replicator rule

2023-12-08T23:58:44Z

Calcyman: Calcyman moved page OCA:Logarithmic replicator rule to OCA:Sqrt replicator rule: See reasoning in https://conwaylife.com/forums/viewtopic.php?f=16&p=172591#p172591

#REDIRECT [[OCA:Sqrt replicator rule]]

OCA:Sqrt replicator rule

2023-12-08T23:58:43Z

Calcyman: Calcyman moved page OCA:Logarithmic replicator rule to OCA:Sqrt replicator rule: See reasoning in https://conwaylife.com/forums/viewtopic.php?f=16&p=172591#p172591

{{move|1=OCA:B36/S245|2=See https://conwaylife.com/forums/viewtopic.php?f=16&t=6240 for the current discussion of the proposed move}}
{{Rule
|name = Logarithmic replicator rule
|char = Stable
|b = 36
|s = 245
|ruleinteger = 26696
|reversal = B012578/S0134678
}}
The '''logarithmic replicator rule''' is a [[Life-like cellular automaton]] in which [[cell]]s survive from one [[generation]] to the next if they have 2, 4, or 5 [[Moore neighbourhood|neighbours]] and are born if they have 3 or 6 neighbours.
The cellular automaton has [[rulestring]] B36/S245, and differs from a "nearby" {{rl|Move}} (B368/S245) in the lack of birth on 8 alive neighbours.
The time required to stabilize is generally much shorter than in [[Conway's Game of Life]].

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

==Notable patterns==

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

{{EmbedViewer
|pname = b36s245replicator
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|caption = The namesake logarithmic replicator. Note that it exhibits <tt>Θ({{sqrt|t}})</tt> growth.
|style = width:300px;
}}

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

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

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

====Growth bounds====
{{cleanup}}
Per the convention in [[OCA:Rule 225|Rule 225]], let <tt>b2(n)</tt> be the number obtained from writing <tt>n</tt> in binary and reading this result as a base-<tt>4</tt> number. (ie. <tt>1110 = 10112</tt>, so <tt>b2(7) = 10114 = 6910</tt>)<ref group="n">Sequence <tt>{{OEIS|A000695|tt=tt}}</tt> in the OEIS.</ref>

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

===Spaceships===
The rule has several known elementary spaceships, the smallest ones having speeds of [[c/4 orthogonal]], 4c/23 orthogonal, and [[c/7 diagonal]], shown below. Other known elementary spaceship speeds include [[c/2 orthogonal]], [[c/3 orthogonal]], [[c/5 orthogonal]], [[2c/5 orthogonal]], [[c/6 orthogonal]], [[c/7 orthogonal]], c/3 diagonal, [[c/4 diagonal]],<ref>{{LinkEppsteinRule|b36s245|rulename=B36/S245|archivedate=20160310000536}}</ref> and [[(2,1)c/6]].<ref name="post116552" />

{{EmbedViewer
|pname = b36s245spaceships
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 ]]
|position = center
|style = width:300px;
}}

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

===Linear growth===

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

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

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

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

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

==See also==
*[[OCA:Rule 225|Rule 225]], another one-dimensional cellular automaton exhibiting <tt>Θ({{sqrt|t}})</tt> growth.

==References==
<references>
<ref name="post94136">{{LinkForumThread
|format = ref
|p = 94136
|title = Re: Miscellaneous Discoveries in Other Cellular Automata
|author = AforAmpere
|date = April 11, 2020
}}</ref>
<ref name="post102490">{{LinkForumThread
|format = ref
|p = 102490
|title = Re: List of the Turing-complete totalistic life-like CA
|author = Peter Naszvadi
|date = August 19, 2020
}}</ref>
<ref name="post116552">{{LinkForumThread
|format = ref
|p = 116552
|title = Re: B36/S245
|author = LaundryPizza03
|date = December 21, 2020
}}</ref>
<ref name="post131028">{{LinkForumThread
|format = ref
|p = 131028
|title = Re: B36/S245
|author = Luka Okanishi
|date = May 28, 2021
}}</ref>
<ref name="post151314">{{LinkForumThread
|format = ref
|p = 151314
|title = Re: B36/S245
|author = FWKnightship
|date = September 23, 2022
}}</ref>
<ref name="post151339">{{LinkForumThread
|format = ref
|p = 151339
|title = Re: B36/S245
|author = Peter Naszvadi
|date = September 24, 2022
}}</ref>
<ref name="post151345">{{LinkForumThread
|format = ref
|p = 151345
|title = Re: B36/S245
|author = toroidalet
|date = September 24, 2022
}}</ref>
<ref name="post151347">{{LinkForumThread
|format = ref
|p = 151347
|title = Re: B36/S245
|author = FWKnightship
|date = September 24, 2022
}}</ref>
</references>

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

[[Category:Life-like cellular automata]]
__NOTOC__

HBK caterpillar

2023-12-03T17:15:32Z

Calcyman: Add to half-baked knightship family

{{stub}}
{{Spaceship
|name = HBK caterpillar
|pname = hbkcaterpillar
|family = Half-baked knightship
|c = 346912
|bx = 123938
|by = 112538
|dir = Oblique
|p = 1024
|m = 1024
|s = (6,3)c/1024
|z = (6,3)c/1024
|discoverer = FWKnightship
|discoveryear = 2023
|rulemin = B3/S23
|rulemax = B3/S23
|mc = true
}}

The '''HBK caterpillar''', '''knightship caterpillar''', or '''knightpillar''' is a period-1024 [[oblique]] [[spaceship]] completed by [[FWKnightship]] on December 2, {{year|2023}}.

In the HBK caterpillar, chains of half-bakery pairs are used to generate "over-unity" perpendicular gliders, as shown in [[half-bakery]]. In the [[Parallel HBK]], each half-bakery pair is activated to produce a glider every 245,912 ticks -- but the HBK caterpillar manages to do this much faster, every 1024 ticks. This kind of massive period reduction by "caterpillar-izing" an HBK design has been talked about several times, starting before the HBKs were even finished, but no specific designs were completed until now.

The HBK caterpillar's main spine is made up of a long chain of identical [[constellation]]s of twenty half-bakeries. A [[flotilla]] of twenty southwest-traveling gliders goes through each half-bakery constellation every 1024 ticks. At any given time, many twenty-glider flotillas are traveling along the spaceship's spine, activating each half-bakery constellation in turn, and finally being suppressed cleanly at the tail of the spaceship.

The main idea is that gliders travel in a set of nested diagonal rectangular loops, mediated by [[target]] objects at three of the four corners of the loops. Collisions with these objects every 1024 ticks are carefully designed so that the objects all move (+6,+3) southeastward on each cycle. The half-bakeries in the west corners of the nested rectangles move this distance naturally whenever a single glider collides with them. But the [[half-blockade]]s in the south corners of the rectangles, and the [[block]]s in the east corners, need specially designed [[synchronized]] [[salvo]]s to get them to move the correct distance while releasing output gliders at 90 degrees to the input salvos.

==Details==
Each half-bakery constellation produces ten southeast-traveling gliders. Eight of those gliders make up a very narrow [[synchronized]] [[salvo]] of gliders aimed at a [[half-blockade]] [[target]] some distance to the southeast. The salvo is designed to be narrow, just four lanes wide, because the trailing gliders have to fit through the four-lane-wide gap in the half-bakery pair that generates the leading glider.

The half-blockade is moved (+6,+3) every 1024 ticks by the collision, which also generates two output gliders. The remaining two southeast-traveling gliders are offset a good distance to either side of the eight-glider stream, to participate in kickback reactions with those output gliders. One output glider is initially sent northeast, then kicked back to collide with the last two salvo gliders to make a new half-blockade in the right (+6,+3) offset location. The other output glider is initially sent southwest, then kicked back to be added to a new northeast-traveling synchronized salvo.

Each northeast-traveling salvo is a three-glider group aimed at a block, which moves the block (+6,+3) and sends out a single glider heading northwest. There are twenty blocks in all, producing twenty singleton northwest-traveling gliders.

There are also twenty singleton northeast-traveling gliders. These are created in the same exact way as the other NE-traveling gliders, in a tight group of half-bakery constellations at the very top of the HBK caterpillar's spine.

The twenty individual northeast-traveling gliders hit the twenty individual northwest-traveling gliders and are kicked back. They form a flotilla of twenty SW-traveling gliders, which is exactly what is needed to close the loop and activate each half-bakery constellation in the spine -- one glider for each half-bakery in the ten half-bakery pairs.

==Cleanup in the Southeast==
Without the triangular tail at the end of the spine, this whole structure would spew 20-glider flotillas southwestward every 1024 ticks. The triangular structure cleanly stops the southwest-traveling flotillas.

The northeast edge of the triangular tail is made up of two non-standard half-bakery constellations. The first of these constellations creates only nine gliders instead of the usual ten. Those nine southeast-traveling gliders are aimed at a half-bakery as usual, but the resulting southwest-traveling output glider just keeps traveling southwest instead of getting kicked back. The second constellation creates only one southeast-traveling glider instead of the usual ten. The southeastward glider and the southwestward glider collaborate with a final half-bakery to make a new block at the end of the chain of blocks on the southwest edge of the triangular tail.

Engineered diehard

2023-10-06T09:09:23Z

Calcyman: It's not a pentational design because the '3' in '17^^^3' can't be adjusted. Otherwise a 4-generation diehard could be called 'heptational' because it lasts 2^^^^^2 generations.

{{stub}}
{|style="float:right;margin-left:16px;margin-bottom:8px;width:300px;"
|{{EmbedViewer
|pname = diehard30273
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
|position = center
|caption = 30,273-tick diehard with bounding box {{times|32|32}} by Hickerson<ref name="post143921" />
}}
|}
{{main|Die hard#"Die hard" as a general term}}
Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, [[Dean Hickerson]] shared a 9044-tick {{times|32|32}} diehard in a private email to [[Dave Greene]]. After a complex series of interactions between an active reaction and various still lifes, a single [[lightweight spaceship]] is produced which eventually catches up to and collides with [[30P5H2V0]], producing a single [[loaf]]. Finally, an even slower [[25P3H1V0.1]] eventually collides with the loaf, destroying both of them.<ref name="post143573" /> On March 6, more optimized versions using different combinations of spaceships (including the especially slow [[copperhead]]) were shared, including a 14,010-tick diehard at {{times|32|32}} and an 18,477-tick diehard at {{times|36|36}}.<ref name="post143574" />

Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.<ref name="post143559" /> On March 31, [[Pavel Grankovskiy]] posted a 50,716-tick diehard in which a [[Simkin glider gun]] and [[pulse divider|pulse-dividing]] glider reflectors are used to slowly eat through a series of [[tub]]s. Although significantly larger than Hickerson's constructions at {{times|90|86}}, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.<ref name="post143605" /> [[Jiahao Yu]] optimized the bounding box of both of these patterns to {{times|87|86}},<ref name="post143624" /> as shown below.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard50716
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 50,716-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard518476
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 518,476-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery bottom}}

== Sawtooth-based designs ==
Using a [[sawtooth]] allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an {{c|Sawtooths with expansion factor 121|expansion factor of 121}}. The pattern fits within a bounding box of {{times|99|101}} (just barely meeting the 10,000-cell restriction specified in the original post<ref name="post143559" />) and lasts approximately {{times|2.280624|10{{sup|870}}}} generations.<ref name="post143908" /> Further optimizations, with the help of [[toroidalet]],<ref name="post143914" /> Dean Hickerson,<ref name="post143920" /> [[EvinZL]],<ref name="post143997" /> [[Rocknlol]],<ref name="post144020" /> and [[Adam P. Goucher]]<ref name="post144030" /> increased its lifespan to {{times|~1.33616|10{{sup|1443}}}} ticks<ref name="post144027" /> and decreased its bounding box to {{times|94|98}}.<ref name="post144045" />

{{EmbedViewer
|pname = diehard1e1443
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
|position = center
|caption = {{times|94|98}} exponential diehard by Grankovskiy et al.
|style = width:300px;
}}

On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via [[tetration]], the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,<ref name="post144034" /> the diehard version was completed on April 11.<ref name="post144077" /> With optimization by [[Tanner Jacobi]]<ref name="post144087" /> and toroidalet,<ref name="post144162" /><ref name="post149066" /> its lifespan is somewhere between 1510 and 1610 ticks.<ref>{{Cite web|url=https://btm.qva.mybluehost.me/telling-the-tale-of-two-tetrations/|author=Brett Berger|title=Telling the tale of two tetrations|work=a blog by biggiemac42|date=April 17, 2022|accessdate=April 17, 2022}}</ref>

{{EmbedViewer
|pname = diehardtetration
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|111|90}} tetrational diehard by Grankovskiy et al.
|style = width:300px;
}}

On July 9, 2023, [[EvinZL]] proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,<ref name="post163493" /> based on the original idea of [[Tanner Jacobi]].<ref name="post148684" /> In a flurry of activity that followed after, [[toroidalet]], [[Adam P. Goucher]], [[Pavel Grankovskiy]] and [[EvinZL]] pushed the number of loaves from 15<ref name="tetrational_15_loaves" /> to approximately {{times|3.52|10{{sup|48}}}}<ref name="tetrational_1e48" />, with the latter improvement based on idea by [[Adam P. Goucher]] to use gliders from exponential part of diehard to ignite the fuse.<ref name="tetrational_exp_idea" /> This was subsequently improved to {{times|1.1|10{{sup|1046}}}}<ref name="tetrational_1e1046" /><ref name="tetrational_exp_cp4space" />.

{{EmbedViewer
|pname = diehardtetration1046
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|109|91}} tetrational diehard with a lifespan exceeding 10104610.
|style = width:300px;
}}

== Double-tetrational designs ==
On 15th September 2023, [[Tim Coe]] and b3s23love increased the height of the tetrational tower from {{times|1.1|10{{sup|1046}}}} to 121{{sup|{{times|8.46|10{{sup|1059}}}}}}. The following day, Tim Coe further improved this height to 121{{sup|121{{sup|121{{sup|121{{sup|498}}}}}}}}, so the height of the tetrational tower is itself a tetrational tower. This was subsequently further improved by Tim Coe, toroidalet, EvinZL, and b3s23love, culminating in a height of 121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|1356648129958673823266622201465466300}}}}}}}}}}}}}}}}}} as of the 28th September 2023. The overall lifespan of the diehard exceeds {{sup|{{sup|11}}11}}11, or 11^^^3 in Knuth's up-arrow notation.

== References ==
<references>
<ref name="post143573">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143573
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143574">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143574
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143559">{{LinkForumThread
|format = ref
|title = (Engineered) diehards
|p = 143559
|author = squareroot12621
|date = March 30, 2022
}}</ref>
<ref name="post143605">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143605
|author = Pavel Grankovskiy
|date = March 31, 2022
}}</ref>
<ref name="post143624">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143624
|author = Jiahao Yu
|date = March 31, 2022
}}</ref>
<ref name="post143921">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143921
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143908">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143908
|author = Pavel Grankovskiy
|date = April 7, 2022
}}</ref>
<ref name="post143914">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143914
|author = toroidalet
|date = April 7, 2022
}}</ref>
<ref name="post143920">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143920
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143997">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143997
|author = EvinZL
|date = April 9, 2022
}}</ref>
<ref name="post144020">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144020
|author = Rocknlol
|date = April 10, 2022
}}</ref>
<ref name="post144030">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144030
|author = Adam P. Goucher
|date = April 10, 2022
}}</ref>
<ref name="post144027">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144027
|author = Dean Hickerson
|date = April 10, 2022
}}</ref>
<ref name="post144045">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144045
|author = toroidalet
|date = April 10, 2022
}}</ref>
<ref name="post144034">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144034
|author = Pavel Grankovskiy
|date = April 9, 2022
}}</ref>
<ref name="post144077">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144077
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144087">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144087
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144162">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144162
|author = toroidalet
|date = April 13, 2022
}}</ref>
<ref name="post149066">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 149066
|author = toroidalet
|date = August 2, 2022
}}</ref>
<ref name="post163493">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163493
|author = EvinZL
|date = July 9, 2023
}}</ref>
<ref name="post148684">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 148684
|author = Tanner Jacobi
|date = July 25, 2022
}}</ref>
<ref name="tetrational_15_loaves">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163828
|author = toroidalet
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e48">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163888
|author = Adam P. Goucher
|date = July 19, 2023
}}</ref>
<ref name="tetrational_exp_idea">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163848
|author = Adam P. Goucher
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e1046">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 164085
|author = Adam P. Goucher
|date = July 23, 2023
}}</ref>
<ref name="tetrational_exp_cp4space">{{cite web|url=https://cp4space.hatsya.com/2023/07/23/miscellaneous-discoveries/|title=Miscellaneous discoveries|work=Complex Projective 4-Space|accessdate=May 23, 2023}}</ref>
</references>

== External links ==
* {{LinkForumThread|title=Re: (Engineered) diehards|p=144151|author=Pavel Grankovskiy|date=April 12, 2022}} (analysis of the tetrational diehard's total runtime)

Engineered diehard

2023-09-28T14:26:40Z

Calcyman:

{{WIP}}
{|style="float:right;margin-left:16px;margin-bottom:8px;width:300px;"
|{{EmbedViewer
|pname = diehard30273
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
|position = center
|caption = 30,273-tick diehard with bounding box {{times|32|32}} by Hickerson<ref name="post143921" />
}}
|}
{{main|Die hard#"Die hard" as a general term}}
Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, [[Dean Hickerson]] shared a 9044-tick {{times|32|32}} diehard in a private email to [[Dave Greene]]. After a complex series of interactions between an active reaction and various still lifes, a single [[lightweight spaceship]] is produced which eventually catches up to and collides with [[30P5H2V0]], producing a single [[loaf]]. Finally, an even slower [[25P3H1V0.1]] eventually collides with the loaf, destroying both of them.<ref name="post143573" /> On March 6, more optimized versions using different combinations of spaceships (including the especially slow [[copperhead]]) were shared, including a 14,010-tick diehard at {{times|32|32}} and an 18,477-tick diehard at {{times|36|36}}.<ref name="post143574" />

Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.<ref name="post143559" /> On March 31, [[Pavel Grankovskiy]] posted a 50,716-tick diehard in which a [[Simkin glider gun]] and [[pulse divider|pulse-dividing]] glider reflectors are used to slowly eat through a series of [[tub]]s. Although significantly larger than Hickerson's constructions at {{times|90|86}}, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.<ref name="post143605" /> [[Jiahao Yu]] optimized the bounding box of both of these patterns to {{times|87|86}},<ref name="post143624" /> as shown below.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard50716
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 50,716-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard518476
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 518,476-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery bottom}}

== Sawtooth-based designs ==
Using a [[sawtooth]] allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an {{c|Sawtooths with expansion factor 121|expansion factor of 121}}. The pattern fits within a bounding box of {{times|99|101}} (just barely meeting the 10,000-cell restriction specified in the original post<ref name="post143559" />) and lasts approximately {{times|2.280624|10{{sup|870}}}} generations.<ref name="post143908" /> Further optimizations, with the help of [[toroidalet]],<ref name="post143914" /> Dean Hickerson,<ref name="post143920" /> [[EvinZL]],<ref name="post143997" /> [[Rocknlol]],<ref name="post144020" /> and [[Adam P. Goucher]]<ref name="post144030" /> increased its lifespan to {{times|~1.33616|10{{sup|1443}}}} ticks<ref name="post144027" /> and decreased its bounding box to {{times|94|98}}.<ref name="post144045" />

{{EmbedViewer
|pname = diehard1e1443
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
|position = center
|caption = {{times|94|98}} exponential diehard by Grankovskiy et al.
|style = width:300px;
}}

On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via [[tetration]], the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,<ref name="post144034" /> the diehard version was completed on April 11.<ref name="post144077" /> With optimization by [[Tanner Jacobi]]<ref name="post144087" /> and toroidalet,<ref name="post144162" /><ref name="post149066" /> its lifespan is somewhere between 1510 and 1610 ticks.<ref>{{Cite web|url=https://btm.qva.mybluehost.me/telling-the-tale-of-two-tetrations/|author=Brett Berger|title=Telling the tale of two tetrations|work=a blog by biggiemac42|date=April 17, 2022|accessdate=April 17, 2022}}</ref>

{{EmbedViewer
|pname = diehardtetration
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|111|90}} tetrational diehard by Grankovskiy et al.
|style = width:300px;
}}

On July 9, 2023, [[EvinZL]] proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,<ref name="post163493" /> based on the original idea of [[Tanner Jacobi]].<ref name="post148684" /> In a flurry of activity that followed after, [[toroidalet]], [[Adam P. Goucher]], [[Pavel Grankovskiy]] and [[EvinZL]] pushed the number of loaves from 15<ref name="tetrational_15_loaves" /> to approximately {{times|3.52|10{{sup|48}}}}<ref name="tetrational_1e48" />, with the latter improvement based on idea by [[Adam P. Goucher]] to use gliders from exponential part of diehard to ignite the fuse.<ref name="tetrational_exp_idea" /> This was subsequently improved to {{times|1.1|10{{sup|1046}}}}<ref name="tetrational_1e1046" /><ref name="tetrational_exp_cp4space" />.

{{EmbedViewer
|pname = diehardtetration1046
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|109|91}} tetrational diehard with a lifespan exceeding 10104610.
|style = width:300px;
}}

== Double-tetrational designs ==
On 15th September 2023, [[Tim Coe]] and b3s23love increased the height of the tetrational tower from {{times|1.1|10{{sup|1046}}}} to 121{{sup|{{times|8.46|10{{sup|1059}}}}}}. The following day, Tim Coe further improved this height to 121{{sup|121{{sup|121{{sup|121{{sup|498}}}}}}}}, so the height of the tetrational tower is itself a tetrational tower. This was subsequently further improved by Tim Coe, toroidalet, EvinZL, and b3s23love, culminating in a height of 121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|121{{sup|1356648129958673823266622201465466300}}}}}}}}}}}}}}}}}} as of the 28th September 2023. The overall lifespan of the diehard exceeds {{sup|{{sup|11}}11}}11, or 11^^^3 in Knuth's up-arrow notation.

== References ==
<references>
<ref name="post143573">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143573
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143574">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143574
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143559">{{LinkForumThread
|format = ref
|title = (Engineered) diehards
|p = 143559
|author = squareroot12621
|date = March 30, 2022
}}</ref>
<ref name="post143605">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143605
|author = Pavel Grankovskiy
|date = March 31, 2022
}}</ref>
<ref name="post143624">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143624
|author = Jiahao Yu
|date = March 31, 2022
}}</ref>
<ref name="post143921">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143921
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143908">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143908
|author = Pavel Grankovskiy
|date = April 7, 2022
}}</ref>
<ref name="post143914">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143914
|author = toroidalet
|date = April 7, 2022
}}</ref>
<ref name="post143920">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143920
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143997">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143997
|author = EvinZL
|date = April 9, 2022
}}</ref>
<ref name="post144020">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144020
|author = Rocknlol
|date = April 10, 2022
}}</ref>
<ref name="post144030">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144030
|author = Adam P. Goucher
|date = April 10, 2022
}}</ref>
<ref name="post144027">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144027
|author = Dean Hickerson
|date = April 10, 2022
}}</ref>
<ref name="post144045">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144045
|author = toroidalet
|date = April 10, 2022
}}</ref>
<ref name="post144034">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144034
|author = Pavel Grankovskiy
|date = April 9, 2022
}}</ref>
<ref name="post144077">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144077
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144087">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144087
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144162">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144162
|author = toroidalet
|date = April 13, 2022
}}</ref>
<ref name="post149066">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 149066
|author = toroidalet
|date = August 2, 2022
}}</ref>
<ref name="post163493">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163493
|author = EvinZL
|date = July 9, 2023
}}</ref>
<ref name="post148684">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 148684
|author = Tanner Jacobi
|date = July 25, 2022
}}</ref>
<ref name="tetrational_15_loaves">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163828
|author = toroidalet
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e48">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163888
|author = Adam P. Goucher
|date = July 19, 2023
}}</ref>
<ref name="tetrational_exp_idea">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163848
|author = Adam P. Goucher
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e1046">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 164085
|author = Adam P. Goucher
|date = July 23, 2023
}}</ref>
<ref name="tetrational_exp_cp4space">{{cite web|url=https://cp4space.hatsya.com/2023/07/23/miscellaneous-discoveries/|title=Miscellaneous discoveries|work=Complex Projective 4-Space|accessdate=May 23, 2023}}</ref>
</references>

== External links ==
* {{LinkForumThread|title=Re: (Engineered) diehards|p=144151|author=Pavel Grankovskiy|date=April 12, 2022}} (analysis of the tetrational diehard's total runtime)

Die hard

2023-07-25T21:10:54Z

Calcyman: /* Sawtooth-based designs */ fixed bbox

{{Methuselah
|name = Die hard
|pname = diehard
|type = Spark
|c = 7
|bx = 8
|by = 3
|l = 130
|f = 0
|mcps = 11
|rulemin = B3/S23
|rulemax = B3/S23
|isorulemin = B3/S23
|isorulemax = B3/S234c5k6e
|rulespecial = [[Conway's Life]]
|synthesis2 = 3
|synthesisRLE = true
|plaintext = true
|rle = true
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 36 ]]
}}
'''Die hard''' is a {{cells|7|text=7-cell}} [[methuselah]] (essentially a [[collision]] between a [[block]] and the [[traffic light]] sequence) that vanishes after 130 generations, which is conjectured to be the limit for vanishing patterns of 7 or fewer cells. Note that there is no limit for higher numbers of cells, as eight cells suffice to have a [[glider]] heading towards an arbitrarily distant [[blinker]] or [[pre-block]].

== The diehard evolutionary sequence ==

The original diehard is a [[list of common evolutionary sequences|semi-common sequence]]. In addition to a traffic light hitting a block, a common [[blinker]] predecessor can hit the same block, turning it into the diehard sequence. This version lasts 137 generations.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehardpredecessor2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 36 GPS 20 ]]
|position = center
|caption = A variant that lasts 137 generations
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 42, y = 35, rule = B3/S23
5bo$5b3o$8bo$7b2o24bo$33b3o$10b2o24bo$9bobo23b2o$9b2o$38b2o$37bobo$37b
2o$8bo$8b2o26bo$5bo4bo24bobo$5bo4bo23bo$10bo3b2o18bo3b2o$2o3bo12b3o12b
o5b2o$5bo4bo7bobo3b2o11bo2b2o$5bo4bo7b3o3b2o6b2ob3ob2o$6b2o23b2ob3ob2o
$7bo22b2o2bo$31b2o5bo$32b2o3bo$37bo$5b2o27bobo$4bobo28bo$4b2o$33b2o$7b
2o23bobo$7bo24b2o$8b3o$10bo24b2o$35bo$36b3o$38bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 12 AUTOSTART ]]
|position = center
|caption = Period-42 diehard [[hassle]]r ([[Mitchell Riley]], November 1, 2022)
|style = width:300px;
|apgcode = xp42_032acykoggzy1653yj23g8ozy06mogyigoc3hz4ckgy448a2e0iry2g8cd5w4hhhez0gh1yi344c1god51z321o8yjoke1zy0113yk6a8o
}}}}
{{gallery bottom}}

== "Die hard" as a general term ==
Alternatively, "die hard" or "diehard" may refer to any methuselah that eventually vanishes. Like with regular methuselahs, an arbitrarily long-lived diehard can be trivially constructed using only 8 cells from a single [[glider]] and either a [[blinker]] or a [[pre-block]]. Therefore, [[bounding box]] tends to be the preferred metric for the "size" of a diehard.

=== Natural diehards ===
Soups in [[Conway's Game of Life]] lasting at least 500 generations before disappearing completely are reported by [[apgsearch]] versions v4.69 and above and referred to as "messless methuselahs" on [[Catagolue]].<ref name="post66402" /> As of July {{year|2023}}, the longest-lasting known [[natural]] diehard lasts 1398 ticks, while the longest-lasting known [[semi-natural]] (i.e. [[static symmetry|symmetrical]] but still random) diehard has C4_4 symmetry and lasts 2500 ticks. Both soups were found by [[Charity Engine]], the asymmetric soup on January 14, 2022,<ref name="post140267" /><ref>See also {{cata|attribute/messless_13h/b3s23|the attribute page}}</ref> and the symmetric one in April 6th, 2023.<ref>{{cata|attribute/messless_25h/b3s23/C4_4|the attribute page}}</ref>
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard1398
|viewerconfig = #C [[ HEIGHT 500 WIDTH 500 ZOOM 24 ]]
|position = center
|caption = Asymmetric 1398-tick diehard
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard2500
|viewerconfig = #C [[ HEIGHT 500 WIDTH 500 ZOOM 12 ]]
|position = center
|caption = Symmetric 2500-tick diehard
|style = width:300px;
}}}}
{{gallery bottom}}

=== Engineered diehards ===

{|style="float:right;margin-left:16px;margin-bottom:8px;width:300px;"
|{{EmbedViewer
|pname = diehard30273
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
|position = center
|caption = 30,273-tick diehard with bounding box {{times|32|32}} by Hickerson<ref name="post143921" />
}}
|}

Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, [[Dean Hickerson]] shared a 9044-tick {{times|32|32}} diehard in a private email to [[Dave Greene]]. After a complex series of interactions between an active reaction and various still lifes, a single [[lightweight spaceship]] is produced which eventually catches up to and collides with [[30P5H2V0]], producing a single [[loaf]]. Finally, an even slower [[25P3H1V0.1]] eventually collides with the loaf, destroying both of them.<ref name="post143573" /> On March 6, more optimized versions using different combinations of spaceships (including the especially slow [[copperhead]]) were shared, including a 14,010-tick diehard at {{times|32|32}} and an 18,477-tick diehard at {{times|36|36}}.<ref name="post143574" />

Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.<ref name="post143559" /> On March 31, [[Pavel Grankovskiy]] posted a 50,716-tick diehard in which a [[Simkin glider gun]] and [[pulse divider|pulse-dividing]] glider reflectors are used to slowly eat through a series of [[tub]]s. Although significantly larger than Hickerson's constructions at {{times|90|86}}, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.<ref name="post143605" /> [[Jiahao Yu]] optimized the bounding box of both of these patterns to {{times|87|86}},<ref name="post143624" /> as shown below.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard50716
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 50,716-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard518476
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 518,476-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery bottom}}

==== Sawtooth-based designs ====
Using a [[sawtooth]] allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an {{c|Sawtooths with expansion factor 121|expansion factor of 121}}. The pattern fits within a bounding box of {{times|99|101}} (just barely meeting the 10,000-cell restriction specified in the original post<ref name="post143559" />) and lasts approximately {{times|2.280624|10{{sup|870}}}} generations.<ref name="post143908" /> Further optimizations, with the help of [[toroidalet]],<ref name="post143914" /> Dean Hickerson,<ref name="post143920" /> [[EvinZL]],<ref name="post143997" /> [[Rocknlol]],<ref name="post144020" /> and [[Adam P. Goucher]]<ref name="post144030" /> increased its lifespan to {{times|~1.33616|10{{sup|1443}}}} ticks<ref name="post144027" /> and decreased its bounding box to {{times|94|98}}.<ref name="post144045" />

{{EmbedViewer
|pname = diehard1e1443
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
|position = center
|caption = {{times|94|98}} exponential diehard by Grankovskiy et al.
|style = width:300px;
}}

On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via tetration{{refn|group=note|[https://en.wikipedia.org/wiki/Tetration Tetration] on Wikipedia}}, the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,<ref name="post144034" /> the diehard version was completed on April 11.<ref name="post144077" /> With optimization by [[Tanner Jacobi]]<ref name="post144087" /> and toroidalet,<ref name="post144162" /><ref name="post149066" /> its lifespan is somewhere between 1510 and 1610 ticks.<ref>{{Cite web|url=https://btm.qva.mybluehost.me/telling-the-tale-of-two-tetrations/|author=Brett Berger|title=Telling the tale of two tetrations|work=a blog by biggiemac42|date=April 17, 2022|accessdate=April 17, 2022}}</ref>

{{EmbedViewer
|pname = diehardtetration
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|111|90}} tetrational diehard by Grankovskiy et al.
|style = width:300px;
}}

On July 9, 2023, [[EvinZL]] proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,<ref name="post163493" /> based on the original idea of [[Tanner Jacobi]].<ref name="post148684" /> In a flurry of activity that followed after, [[toroidalet]], [[Adam P. Goucher]], [[Pavel Grankovskiy]] and [[EvinZL]] pushed the number of loaves from 15<ref name="tetrational_15_loaves" /> to approximately {{times|3.52|10{{sup|48}}}}<ref name="tetrational_1e48" />, with the latter improvement based on idea by [[Adam P. Goucher]] to use gliders from exponential part of diehard to ignite the fuse.<ref name="tetrational_exp_idea" /> This was subsequently improved to {{times|1.1|10{{sup|1046}}}}<ref name="tetrational_1e1046" /><ref name="tetrational_exp_cp4space" />.

{{EmbedViewer
|pname = diehardtetration1046
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|109|91}} tetrational diehard with a lifespan exceeding 10104610.
|style = width:300px;
}}

== In other rules ==
In {{rl|HighLife}}, despite the instability of the traffic light sequence, the die hard still works, disappearing after 119 generations.

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

== References ==
<references>
<ref name="post66402">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66402
|author = Ian07
|date = December 11, 2018
}}</ref>
<ref name="post140267">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 140267
|author = Ian07
|date = January 13, 2022
}}</ref>
<ref name="post143573">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143573
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143574">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143574
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143559">{{LinkForumThread
|format = ref
|title = (Engineered) diehards
|p = 143559
|author = squareroot12621
|date = March 30, 2022
}}</ref>
<ref name="post143605">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143605
|author = Pavel Grankovskiy
|date = March 31, 2022
}}</ref>
<ref name="post143624">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143624
|author = Jiahao Yu
|date = March 31, 2022
}}</ref>
<ref name="post143921">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143921
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143908">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143908
|author = Pavel Grankovskiy
|date = April 7, 2022
}}</ref>
<ref name="post143914">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143914
|author = toroidalet
|date = April 7, 2022
}}</ref>
<ref name="post143920">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143920
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143997">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143997
|author = EvinZL
|date = April 9, 2022
}}</ref>
<ref name="post144020">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144020
|author = Rocknlol
|date = April 10, 2022
}}</ref>
<ref name="post144030">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144030
|author = Adam P. Goucher
|date = April 10, 2022
}}</ref>
<ref name="post144027">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144027
|author = Dean Hickerson
|date = April 10, 2022
}}</ref>
<ref name="post144045">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144045
|author = toroidalet
|date = April 10, 2022
}}</ref>
<ref name="post144034">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144034
|author = Pavel Grankovskiy
|date = April 9, 2022
}}</ref>
<ref name="post144077">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144077
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144087">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144087
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144162">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144162
|author = toroidalet
|date = April 13, 2022
}}</ref>
<ref name="post149066">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 149066
|author = toroidalet
|date = August 2, 2022
}}</ref>
<ref name="post163493">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163493
|author = EvinZL
|date = July 9, 2023
}}</ref>
<ref name="post148684">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 148684
|author = Tanner Jacobi
|date = July 25, 2022
}}</ref>
<ref name="tetrational_15_loaves">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163828
|author = toroidalet
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e48">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163888
|author = Adam P. Goucher
|date = July 19, 2023
}}</ref>
<ref name="tetrational_exp_idea">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163848
|author = Adam P. Goucher
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e1046">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 164085
|author = Adam P. Goucher
|date = July 23, 2023
}}</ref>
<ref name="tetrational_exp_cp4space">{{cite web|url=https://cp4space.hatsya.com/2023/07/23/miscellaneous-discoveries/|title=Miscellaneous discoveries|work=Complex Projective 4-Space|accessdate=May 23, 2023}}</ref>
</references>

== External links ==
* {{LinkLexicon|lex_d.htm#diehard}}
* {{LinkCatagolue|messless_13h|patternname=diehard1398|format=long-lived pattern}}
* {{LinkCatagolue|messless_24h|patternname=diehard2474|format=long-lived pattern}}
* {{LinkForumThread|title=Re: (Engineered) diehards|p=144151|author=Pavel Grankovskiy|date=April 12, 2022}} (analysis of the tetrational diehard's total runtime)

[[Category:Gliderless methuselahs]]
[[Category:Sparks]]

Die hard

2023-07-25T21:10:17Z

Calcyman: Updated diehard

{{Methuselah
|name = Die hard
|pname = diehard
|type = Spark
|c = 7
|bx = 8
|by = 3
|l = 130
|f = 0
|mcps = 11
|rulemin = B3/S23
|rulemax = B3/S23
|isorulemin = B3/S23
|isorulemax = B3/S234c5k6e
|rulespecial = [[Conway's Life]]
|synthesis2 = 3
|synthesisRLE = true
|plaintext = true
|rle = true
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 36 ]]
}}
'''Die hard''' is a {{cells|7|text=7-cell}} [[methuselah]] (essentially a [[collision]] between a [[block]] and the [[traffic light]] sequence) that vanishes after 130 generations, which is conjectured to be the limit for vanishing patterns of 7 or fewer cells. Note that there is no limit for higher numbers of cells, as eight cells suffice to have a [[glider]] heading towards an arbitrarily distant [[blinker]] or [[pre-block]].

== The diehard evolutionary sequence ==

The original diehard is a [[list of common evolutionary sequences|semi-common sequence]]. In addition to a traffic light hitting a block, a common [[blinker]] predecessor can hit the same block, turning it into the diehard sequence. This version lasts 137 generations.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehardpredecessor2
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 36 GPS 20 ]]
|position = center
|caption = A variant that lasts 137 generations
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle = x = 42, y = 35, rule = B3/S23
5bo$5b3o$8bo$7b2o24bo$33b3o$10b2o24bo$9bobo23b2o$9b2o$38b2o$37bobo$37b
2o$8bo$8b2o26bo$5bo4bo24bobo$5bo4bo23bo$10bo3b2o18bo3b2o$2o3bo12b3o12b
o5b2o$5bo4bo7bobo3b2o11bo2b2o$5bo4bo7b3o3b2o6b2ob3ob2o$6b2o23b2ob3ob2o
$7bo22b2o2bo$31b2o5bo$32b2o3bo$37bo$5b2o27bobo$4bobo28bo$4b2o$33b2o$7b
2o23bobo$7bo24b2o$8b3o$10bo24b2o$35bo$36b3o$38bo!
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 12 AUTOSTART ]]
|position = center
|caption = Period-42 diehard [[hassle]]r ([[Mitchell Riley]], November 1, 2022)
|style = width:300px;
|apgcode = xp42_032acykoggzy1653yj23g8ozy06mogyigoc3hz4ckgy448a2e0iry2g8cd5w4hhhez0gh1yi344c1god51z321o8yjoke1zy0113yk6a8o
}}}}
{{gallery bottom}}

== "Die hard" as a general term ==
Alternatively, "die hard" or "diehard" may refer to any methuselah that eventually vanishes. Like with regular methuselahs, an arbitrarily long-lived diehard can be trivially constructed using only 8 cells from a single [[glider]] and either a [[blinker]] or a [[pre-block]]. Therefore, [[bounding box]] tends to be the preferred metric for the "size" of a diehard.

=== Natural diehards ===
Soups in [[Conway's Game of Life]] lasting at least 500 generations before disappearing completely are reported by [[apgsearch]] versions v4.69 and above and referred to as "messless methuselahs" on [[Catagolue]].<ref name="post66402" /> As of July {{year|2023}}, the longest-lasting known [[natural]] diehard lasts 1398 ticks, while the longest-lasting known [[semi-natural]] (i.e. [[static symmetry|symmetrical]] but still random) diehard has C4_4 symmetry and lasts 2500 ticks. Both soups were found by [[Charity Engine]], the asymmetric soup on January 14, 2022,<ref name="post140267" /><ref>See also {{cata|attribute/messless_13h/b3s23|the attribute page}}</ref> and the symmetric one in April 6th, 2023.<ref>{{cata|attribute/messless_25h/b3s23/C4_4|the attribute page}}</ref>
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard1398
|viewerconfig = #C [[ HEIGHT 500 WIDTH 500 ZOOM 24 ]]
|position = center
|caption = Asymmetric 1398-tick diehard
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard2500
|viewerconfig = #C [[ HEIGHT 500 WIDTH 500 ZOOM 12 ]]
|position = center
|caption = Symmetric 2500-tick diehard
|style = width:300px;
}}}}
{{gallery bottom}}

=== Engineered diehards ===

{|style="float:right;margin-left:16px;margin-bottom:8px;width:300px;"
|{{EmbedViewer
|pname = diehard30273
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
|position = center
|caption = 30,273-tick diehard with bounding box {{times|32|32}} by Hickerson<ref name="post143921" />
}}
|}

Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, [[Dean Hickerson]] shared a 9044-tick {{times|32|32}} diehard in a private email to [[Dave Greene]]. After a complex series of interactions between an active reaction and various still lifes, a single [[lightweight spaceship]] is produced which eventually catches up to and collides with [[30P5H2V0]], producing a single [[loaf]]. Finally, an even slower [[25P3H1V0.1]] eventually collides with the loaf, destroying both of them.<ref name="post143573" /> On March 6, more optimized versions using different combinations of spaceships (including the especially slow [[copperhead]]) were shared, including a 14,010-tick diehard at {{times|32|32}} and an 18,477-tick diehard at {{times|36|36}}.<ref name="post143574" />

Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.<ref name="post143559" /> On March 31, [[Pavel Grankovskiy]] posted a 50,716-tick diehard in which a [[Simkin glider gun]] and [[pulse divider|pulse-dividing]] glider reflectors are used to slowly eat through a series of [[tub]]s. Although significantly larger than Hickerson's constructions at {{times|90|86}}, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.<ref name="post143605" /> [[Jiahao Yu]] optimized the bounding box of both of these patterns to {{times|87|86}},<ref name="post143624" /> as shown below.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname = diehard50716
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 50,716-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname = diehard518476
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position = center
|caption = 518,476-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style = width:300px;
}}}}
{{gallery bottom}}

==== Sawtooth-based designs ====
Using a [[sawtooth]] allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an {{c|Sawtooths with expansion factor 121|expansion factor of 121}}. The pattern fits within a bounding box of {{times|99|101}} (just barely meeting the 10,000-cell restriction specified in the original post<ref name="post143559" />) and lasts approximately {{times|2.280624|10{{sup|870}}}} generations.<ref name="post143908" /> Further optimizations, with the help of [[toroidalet]],<ref name="post143914" /> Dean Hickerson,<ref name="post143920" /> [[EvinZL]],<ref name="post143997" /> [[Rocknlol]],<ref name="post144020" /> and [[Adam P. Goucher]]<ref name="post144030" /> increased its lifespan to {{times|~1.33616|10{{sup|1443}}}} ticks<ref name="post144027" /> and decreased its bounding box to {{times|94|98}}.<ref name="post144045" />

{{EmbedViewer
|pname = diehard1e1443
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
|position = center
|caption = {{times|94|98}} exponential diehard by Grankovskiy et al.
|style = width:300px;
}}

On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via tetration{{refn|group=note|[https://en.wikipedia.org/wiki/Tetration Tetration] on Wikipedia}}, the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,<ref name="post144034" /> the diehard version was completed on April 11.<ref name="post144077" /> With optimization by [[Tanner Jacobi]]<ref name="post144087" /> and toroidalet,<ref name="post144162" /><ref name="post149066" /> its lifespan is somewhere between 1510 and 1610 ticks.<ref>{{Cite web|url=https://btm.qva.mybluehost.me/telling-the-tale-of-two-tetrations/|author=Brett Berger|title=Telling the tale of two tetrations|work=a blog by biggiemac42|date=April 17, 2022|accessdate=April 17, 2022}}</ref>

{{EmbedViewer
|pname = diehardtetration
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|111|90}} tetrational diehard by Grankovskiy et al.
|style = width:300px;
}}

On July 9, 2023, [[EvinZL]] proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,<ref name="post163493" /> based on the original idea of [[Tanner Jacobi]].<ref name="post148684" /> In a flurry of activity that followed after, [[toroidalet]], [[Adam P. Goucher]], [[Pavel Grankovskiy]] and [[EvinZL]] pushed the number of loaves from 15<ref name="tetrational_15_loaves" /> to approximately {{times|3.52|10{{sup|48}}}}<ref name="tetrational_1e48" />, with the latter improvement based on idea by [[Adam P. Goucher]] to use gliders from exponential part of diehard to ignite the fuse.<ref name="tetrational_exp_idea" /> This was subsequently improved to {{times|1.1|10{{sup|1046}}}}<ref name="tetrational_1e1046" /><ref name="tetrational_exp_cp4space" />.

{{EmbedViewer
|pname = diehardtetration1046
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position = center
|caption = {{times|111|90}} tetrational diehard with a lifespan exceeding 10104610.
|style = width:300px;
}}

== In other rules ==
In {{rl|HighLife}}, despite the instability of the traffic light sequence, the die hard still works, disappearing after 119 generations.

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

== References ==
<references>
<ref name="post66402">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66402
|author = Ian07
|date = December 11, 2018
}}</ref>
<ref name="post140267">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 140267
|author = Ian07
|date = January 13, 2022
}}</ref>
<ref name="post143573">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143573
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143574">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143574
|author = Dave Greene
|date = March 31, 2022
}}</ref>
<ref name="post143559">{{LinkForumThread
|format = ref
|title = (Engineered) diehards
|p = 143559
|author = squareroot12621
|date = March 30, 2022
}}</ref>
<ref name="post143605">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143605
|author = Pavel Grankovskiy
|date = March 31, 2022
}}</ref>
<ref name="post143624">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143624
|author = Jiahao Yu
|date = March 31, 2022
}}</ref>
<ref name="post143921">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143921
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143908">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143908
|author = Pavel Grankovskiy
|date = April 7, 2022
}}</ref>
<ref name="post143914">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143914
|author = toroidalet
|date = April 7, 2022
}}</ref>
<ref name="post143920">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143920
|author = Dean Hickerson
|date = April 7, 2022
}}</ref>
<ref name="post143997">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 143997
|author = EvinZL
|date = April 9, 2022
}}</ref>
<ref name="post144020">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144020
|author = Rocknlol
|date = April 10, 2022
}}</ref>
<ref name="post144030">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144030
|author = Adam P. Goucher
|date = April 10, 2022
}}</ref>
<ref name="post144027">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144027
|author = Dean Hickerson
|date = April 10, 2022
}}</ref>
<ref name="post144045">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144045
|author = toroidalet
|date = April 10, 2022
}}</ref>
<ref name="post144034">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144034
|author = Pavel Grankovskiy
|date = April 9, 2022
}}</ref>
<ref name="post144077">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144077
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144087">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144087
|author = Pavel Grankovskiy
|date = April 11, 2022
}}</ref>
<ref name="post144162">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 144162
|author = toroidalet
|date = April 13, 2022
}}</ref>
<ref name="post149066">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 149066
|author = toroidalet
|date = August 2, 2022
}}</ref>
<ref name="post163493">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163493
|author = EvinZL
|date = July 9, 2023
}}</ref>
<ref name="post148684">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 148684
|author = Tanner Jacobi
|date = July 25, 2022
}}</ref>
<ref name="tetrational_15_loaves">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163828
|author = toroidalet
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e48">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163888
|author = Adam P. Goucher
|date = July 19, 2023
}}</ref>
<ref name="tetrational_exp_idea">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 163848
|author = Adam P. Goucher
|date = July 18, 2023
}}</ref>
<ref name="tetrational_1e1046">{{LinkForumThread
|format = ref
|title = Re: (Engineered) diehards
|p = 164085
|author = Adam P. Goucher
|date = July 23, 2023
}}</ref>
<ref name="tetrational_exp_cp4space">{{cite web|url=https://cp4space.hatsya.com/2023/07/23/miscellaneous-discoveries/|title=Miscellaneous discoveries|work=Complex Projective 4-Space|accessdate=May 23, 2023}}</ref>
</references>

== External links ==
* {{LinkLexicon|lex_d.htm#diehard}}
* {{LinkCatagolue|messless_13h|patternname=diehard1398|format=long-lived pattern}}
* {{LinkCatagolue|messless_24h|patternname=diehard2474|format=long-lived pattern}}
* {{LinkForumThread|title=Re: (Engineered) diehards|p=144151|author=Pavel Grankovskiy|date=April 12, 2022}} (analysis of the tetrational diehard's total runtime)

[[Category:Gliderless methuselahs]]
[[Category:Sparks]]

RLE:Diehardtetration1046

2023-07-25T21:03:26Z

Calcyman: Created page with "x = 109, y = 91, rule = B3/S23 18b8o20b12o4b5o2bo15b2o15bo$19bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$41b 2o4bo4b2o9b4o27bo2bo4bo$42bo4b2o46b2o8b2o$42bobo8bo3bo24b2o21bobo$43b 2o3bob2obo2bo25b2o22bo$48b2o6b3o3b2o$37b3o8b2o12b2o21b2o8bo$28b2o6b3o 46b2o6b3o4b2o$28b2o13bo9b3o36bo7b2o$42bobo8bo38b2o$43bo8b3o$21b2o17bo 5bo4b2o7b2o35b2o7b3o$21b2o6bo9bobo3bobo4b2o6b2o4bo30b2o6bobo$29b2o7bob o5bo2bobo13bobo37bo$29b2o6bobo3bo22b2o35bobob2o$30bo5bobo3bobo6bo2bo5b 2o20bo2bo19b2obo$35bo..."

x = 109, y = 91, rule = B3/S23
18b8o20b12o4b5o2bo15b2o15bo$19bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$41b
2o4bo4b2o9b4o27bo2bo4bo$42bo4b2o46b2o8b2o$42bobo8bo3bo24b2o21bobo$43b
2o3bob2obo2bo25b2o22bo$48b2o6b3o3b2o$37b3o8b2o12b2o21b2o8bo$28b2o6b3o
46b2o6b3o4b2o$28b2o13bo9b3o36bo7b2o$42bobo8bo38b2o$43bo8b3o$21b2o17bo
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2o20bo2bo19b2obo$35bobo5bo6bo2bobo3bo2bo21b4o9bo6bobobo$34bobo13bo3bob
o3b2o19bo13b2o9b2o$33bobo19bobo24b2o2b2o8b2o8bo$32bobo21bo45b2o$19b2o
3b2o5bobo6b2o5b2o4bo28b2o17bobo$19b2o3b2o4bobo7b2o5bo4bobo3b2o21b2o18b
o$20b5o6bo13bobo5bo4bobo21b2o4b2o10b2o$21bobo21b2o12b2o13b2o14bo$35b2o
37b2o11bo$21b3o4b2o5b2o51b2o$27bobo23b2o22b2o14bo8b3o$27b2o24bo23b2o
13bo2bo$42bo8bobo13b2o23bo2bo$40bobo8b2o14bobo13b2o9bo$19b2o11b2o4b2o
28b2o4b2o6bobo$20bo5bo5b2o4b2o24bo9b2o6b2o5b2o$17b3o5bobo10b2o23bobo
13bo9b2o$17bo8bobo11bobo11b2o8bo6bo6bobo23bobo$27bobo12bo10bobo14bobo
4bobo12b2o11b4o$28bobo22bo16bobo3bobo13b2o9bob2o$23b2o4bobo5bo14b2o17b
o5bo6bo18bo4bo$25bo4bo5bobo6b2o11b2o8bo5bo7b3o18b3ob2o$22bo14bo6bobo
10bobo7bobo3bobo5bo7b2o13b3obo$23b2o19b2o3b2o5bo2bobo6bo5bo6b2o6b2o12b
o3b2o$30bo10bo6bobo5b2o2b2o3bo5bo33bobo$29bobo8bobo5b2o3bo10bobo3bobo
12bo17bo2bobo$30bo10bo10bobo10bo5bo13bo18bobo$16bo28b2o6bo8bo5bo9b3o4b
o$16b3o26b2o14bobo3bobo8b3o9bo$19bo21bo20bo5bo8bo3bo8bo$18b2o20bobo16b
o5bo24bo$b2o8b2o9b2o17b2o15bobo3bobo9b2o3b2o$5o6b2o8bo2bo8b2o24bo5bo$
2ob2o16bobo3b2o3bobo21bo5bo$5b3o14bo3bobo3bo22bobo3bobo7bo$2o2bo3bo17b
2o3b2o17bo5bo5bo7bobo$2bo2bo5bo3b2ob2o16bo13b3o6bo11b2o23b2o$9b4o2bo3b
o15bobo6bo8bo4bobo34bo2bo$b4o3bob3o3b3o17bo6bobo6b2o5bo36bobo$bo5bo4b
2o29b2o11bo32b2o6bo$4b3ob2o21bo5bo9b2o6bobo23b2o6b2o$2o3bo2bo2bo4b3o3b
2o6bobo3bobo8b2o7bo19bo4bo$ob3o3b2ob2o2bo3bobobo5bobo5bo37bobo4b3o$2o
2b2ob2o2b2o2b2ob2ob2o5bobo45bo7bo7b2o$o2b3o5bo17bo16bo45b2o9bo2bobo$2o
3bo2b2o3bo12bo5bo5bo6bobo56bobobo$o5b4o15bobo3bobo4b2o6bo9b2o4bo16b2o
8b2o14bo$2obo5bobo14bo5bo5b2o3b3o9bobo3bo2bo14bobo7b2o17bo$o3bob2o3bo
17bo9bo3bo11b2o4bo2bo3b2o11bo24bo$bo7b2o17bobo16b2obo12bo4bo12bobo20b
2o2bo$b3ob2o8bo13bo3b2o13b3o2b3obo2bo8b3o10b2o19b3ob2o$3bo4bo5bo2bo4b
2o9bo19bo2b2o2bo4bo6bo30b2o3bo$b2o2bo3bob2obo2bo4bobo9b3o6b2o4bob2obob
o2b3o2bobo4b2o31b2ob2o$obo2b3o4bo5bo4bobo10bo5bo3b2ob3o3b2o3b2o2b2o13b
2o23bo$2ob3obo5b5o6b2o7bobo9b3obo10bo18b2o22b3o2bo$2ob2o2bobo4bobobo
14b2o4bo3b2ob3o2bo2b2obo2bobo40b2obobo$14b5o12b2o5bobo5b2o5bo5b2obo$
15bo7bo5bo2bo6bo6bob2ob2o2b2o4bo5bo$16b4o9b2o5bo10bob2o6b2o2bo4bobob2o
$17bo3b2o12bobo11bo2bo2bo3bob2o2bob3ob2o24bobobobo2bo$23bo12bo9b2o3b3o
5b2o5b6o27bob2o2b2o$24bo2bo5bo12b2ob5obob3o10bo31b2o2bobo$25bo6bobo12b
3o10bobo34bo2bobo5bo$25bo7bo12bo4bo2bo2b2o3bo35b3o2b3o2bo$40bo2bo2bobo
bobobo2b2ob2o38b3o4bo$26bo9b2o6bo4bobobo3b2ob3o36b4o4b2o$26bob2obo4b2o
2b3o4bob2obo3bo4bo6bo19b2o7b5o3bob2o$25b2obobob2o8bo2bobobo5bo5bo5b2ob
o17b2o8bobobo5bo$26bob3o10b3obo4b3ob2o3bobo5bo34b2o$27b2obo3bo5b2o5bo
3b3obobo2bob2o3b3o3b2o10b2o5b2o7bobob3o$28b3ob2o6b2o2b2o2bo2bobo3bo4b
2o5bob5o9b2o5b2o6bob7o$30bo11b2obo7bo3bobo3b2o6bo3bo24b2ob2obo$31b2o7b
2obob2obobobobob2o2bob3o7b3o20b2o$32bo7b3o4b8o5bob2o8b3o20b2o!

LifeWiki:Tiki bar

2023-05-26T12:04:22Z

Calcyman: /* Pauses in glider syntheses */

[[File:Taka Tiki Break 250.jpg|right|thumb|250px|Taka Tiki Break]]
<div style="clear: both; float: right; margin-left: 1em; margin-bottom: 1em; margin-top: 1em">__TOC__</div>
'''Welcome, one and all, to the Tiki bar!''' This page is used to discuss the technical issues, policies, and operations of the LifeWiki. Or just sit down, relax, and enjoy a cocktail.

<div style="font-size:1.4em;text-align:center" class="plainlinks">[{{fullurl:LifeWiki:Tiki bar|action=edit&section=new}} Click here to start a new Tiki bar discussion.]</div>

==Welcome to the Tiki bar==
Wikipedia has the [https://en.wikipedia.org/wiki/Wikipedia:Village_pump Village pump], Wiktionary has the [https://en.wiktionary.org/wiki/Wiktionary:Beer_parlour Beer parlour], but the LifeWiki's lacked a central page for discussion so far other than [[User talk:Nathaniel]]. So I took the liberty to create the Tiki bar to facilitate discussion in a friendly and relaxed atmosphere. Welcome! [[User:Apple Bottom|Apple Bottom]] ([[User talk:Apple Bottom|talk]]) 11:09, 13 June 2016 (UTC)

==Archived discussions==
:''Note: active discussions are never archived while still active.''

* See [[LifeWiki:Tiki bar/Archive/2016]] for Tiki bar discussions started in 2016.
* See [[LifeWiki:Tiki bar/Archive/2017]] for Tiki bar discussions started in 2017.
* See [[LifeWiki:Tiki bar/Archive/2018]] for Tiki bar discussions started in 2018.
* See [[LifeWiki:Tiki bar/Archive/2019]] for Tiki bar discussions started in 2019.
* See [[LifeWiki:Tiki bar/Archive/2020]] for Tiki bar discussions started in 2020.
* See [[LifeWiki:Tiki bar/Archive/2021]] for Tiki bar discussions started in 2021.
* See [[LifeWiki:Tiki bar/Archive/2022]] for Tiki bar discussions started in 2022.

== Redirects from misspelling ==

I fail to see why redirects from misspellings are prohibited. [[User:Atavoidirc|Atavoidirc]] ([[User talk:Atavoidirc|talk]]) 21:40, 27 June 2022 (UTC)

: I think there are too many possible ways to misspell something (just multiply the number of letters in the title by (number of letters in the alphabet - 1) and on top of that add misspellings that add/remove/exchange letters), so that it becomes unreasonable to make redirects for them. For another example, should "jrake" be redirected to [[rake]], or to [[krake]] (note that letters j and k are adjacent on a common keyboard layout), or maybe to a disambiguation page created specifically for the purpose of distinguishing possible misspellings? ''Some'' redirects for really common misspellings may be acceptable - but I think it is necessary to show explicitly that these misspellings are indeed common, and there are few such cases.
: In any case, I do not think it is helpful to quickly make dozens of redirects for misspellings - it clutters the logs of recent changes for editors, and it does not seem a noticeable improvement for readers. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 07:06, 28 June 2022 (UTC)
: (Added later) Although the following does not necessarily imply anything specific (I think the wiki should not promote an incorrect spelling, even if it becomes common), here are results of a quick forum search: "candelfobra" - 0 matches, "candlefobra" - 0 matches, "candelfrobra" - 16 matches, "[[candlefrobra]]" - 36 matches. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 12:06, 28 June 2022 (UTC)

:: Personally i think redirects from misspellings that are not just typos (e.g. Candelfobra) should be allowed. I've made this specific misspelling several times before, so i know at least one person who would benefit from it. [[User:Atavoidirc|Atavoidirc]] ([[User talk:Atavoidirc|talk]]) 11:25, 28 June 2022 (UTC)

::: My vote would definitely be to not add misspelling-redirects, and to remove any that have been added. We've already got lots of spelling and punctuation ''variants'' showing up in the [https://conwaylife.com/wiki/Special:AllPages?from=Strict+still-life&to=&namespace=0 All Pages lists], and those lists will get extremely cluttered if we also add every possible misspelling of every article name -- or even every reasonable misspelling.

::: Of course there's a checkbox to hide redirects, but the problem I see is that current policy is fairly consistent about having redirects be valid variant spellings -- terms that people have actually used or might actually use.

::: So if we add things like "Suprise", we're kind of implying that "suprise" is a valid name that someone has used for something. People might click on it thinking, "what's that, a pun on 'sup' so it's some kind of eater?" and then mysteriously find no explanation of why "suprise" is listed. I'd much rather avoid that unlikely potential confusion, than avoid the unlikely potential confusion that someone can't find the [[Surprise]] article because they typed "suprise".

::: In other words, given that the lexicon of Life terms includes all kinds of things like "Catagolue" that '''look''' like misspellings but are actually completely purposeful and have meaning... there's useful information in the current collection of redirects, and it's not an improvement to add a random scattering of misspellings that are really just misspellings. People can perfectly well figure out how to spell "surprise" right, in the incredibly rare cases when they accidentally mistype it and don't get a LifeWiki article match. [[User:Dvgrn|Dvgrn]] ([[User talk:Dvgrn|talk]]) 14:59, 28 June 2022 (UTC)

: (Replying here to a message left at [[Talk:T-tetsons]], since it is possible that that talk page will be deleted later:) I do not see why "T-tetsons" or "T-tetson" should mean something specific. There is a page [[Tumbling T-tetson]] on this wiki, and there is an entry "tumbling T-tetson" in Life Lexicon. There is a page [[Twirling T-tetsons 2]] on this wiki, and there is an entry "twirling T-tetsons II" in Life Lexicon. However, I cannot find "T-tetson" or "T-tetsons" ''by itself'' in Life Lexicon. On the forums, the only example I found which might be related is in the thread "Help with names" ([https://conwaylife.com/forums/viewtopic.php?f=12&t=2333 link]) where there was an attempt to translate a set of words/terms into another language. I think that "T-tetsons" does not by itself mean anything at all, so I proposed the redirect for deletion. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 00:16, 4 July 2022 (UTC)

===2023===
This tiki bar discussion did not finish in 2022. I think it is incomplete (for one thing, it implicitly assumes that everyone knows what this is about). Before this discussion started, several redirects-from-misspellings [https://conwaylife.com/w/index.php?target=Atavoidirc&namespace=all&tagfilter=mw-new-redirect&start=&end=&limit=50&title=Special%3AContributions were created] in a short timespan, without any edit summaries or other explanation. Overall, this looks like trying to anticipate misspellings before these misspellings actually happen. I do not support making lots of redirects "just in case". But one added or removed redirect does not globally change anything. I think drawing the attention of everyone to redirects is unfortunate, because the wiki is about writing pages that describe or explain something -- redirects are a relatively minor feature, and ideally should "just work" without becoming the focus of a tiki bar discussion. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 11:15, 4 April 2023 (UTC)

== Proposed deletion of redirects from personal names to pages about a different subject ==

There is a number of redirects from names of people to pages that are not about the person ([[Alain Noels]], [[Christiaan Hartman]], [[Kees Kwekkeboom]], [[Roger Banks]], [[Steven Eker]], and likely more). I propose that such redirects be deleted.

I believe it is unacceptable to have an imprecise redirect from a personal name. That may incorrectly suggest that the person is known only for one specific contribution (the one mentioned on the target page of the redirect), and also does not provide any context before directing the reader to another subject.

I think either there should be a separate non-redirect page for a person, or (less preferable) a redirect to a category for discoveries made by the person, or there should be no page at all (i.e. no redirect to anything). [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 23:19, 5 September 2022 (UTC)

:Good issue to raise. It would be good to have an explicit "policy" about such things. I think we also need a similar agreement about whether and when a person should be linked at all even if there is little likelihood of the link ever having a landing (I'm thinking mainly of well-aged red links). [[User:Book|Book]] ([[User talk:Book|talk]]) 23:37, 5 September 2022 (UTC)

:: In general, I like red links; they are a very simple lightweight way to tell other editors "This page is missing", and they interact nicely with other available tools. Speaking of pages '''about people''' specifically (and excluding all other LifeWiki topics), I'm inclined to agree that it's probably better to unlink long-missing pages about people. My reason is that such pages are harder to write, and the usual simple "process" of starting a short stub to be expanded later does not really work when writing about a person. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 05:46, 16 April 2023 (UTC)

== Usage of a non-default viewer theme ==

I added to several pages patterns that use <tt><nowiki>#C [[ THEME Book ]]</nowiki></tt> (this viewer theme is related to [[Conway's Game of Life: Mathematics and Construction|the book]]), as an attempt to understand how to improve presentation of patterns in pages. (For my edits adding this theme, see current versions of pages [https://conwaylife.com/w/index.php?title=Lightweight_spaceship&oldid=116360 LWSS], [https://conwaylife.com/w/index.php?title=Middleweight_spaceship&oldid=116358 MWSS], [https://conwaylife.com/w/index.php?title=Heavyweight_spaceship&oldid=116373 HWSS], [https://conwaylife.com/w/index.php?title=Blockic&oldid=116372 Blockic].) I chose this theme because I like how it displays "off" cells that were "on" differently from cells that were always "off", in the same way as in the patterns printed in the book.

The first (more specific) question here is: '''does <tt><nowiki>#C [[ THEME Book ]]</nowiki></tt> look fine in the LifeWiki?''' Is it a good idea to optionally use this LifeViewer theme, in those cases when it seems preferable to display history trail? Or it is better to stick with the default theme everywhere without exceptions?

I note that there was already [https://conwaylife.com/w/index.php?title=Heavyweight_spaceship&diff=116368&oldid=116362 an objection] to one of my edits, on the grounds of consistency with the rest of the wiki. However, I think presentation of patterns across the wiki is currently already inconsistent in several distinct ways. For instance, sometimes static images are used - and that may be preferable in some cases but not others. Another example is that {{tl|EmbedViewer}} is used often but not everywhere - again, there may be good valid reasons for that. Hence a second, less specific question: '''how to improve presentation of patterns in the wiki?'''

Any feedback to the above? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:02, 11 October 2022 (UTC)

: Yes to theme Book (no pun intended). Good choice for the reasons and usage you state. [[User:Book|Book]] ([[User talk:Book|talk]]) 17:45, 12 October 2022 (UTC)

: I personally think that themes with history cells should be avoided on the wiki except in cases where the history cells provide a substantial benefit in understanding the pattern. With regard to the consistency issues mentioned above, many pages have static images because they were created before LifeViewer existed. Sometimes [[LV:viewer]] is used because {{tl|EmbedViewer}} adds an additional frame and caption that is not always desired. Neither of these represents inconsistency in how the wiki is currently updated. 
:~[[User:Sokwe|Sokwe]] 01:31, 28 February 2023 (UTC)

: Since [[42P38]] has seen some edits trying to work out a standard for galleries, I want to also leave a comment regarding the use of the book theme on that page. I think the book theme should be used with the LCM oscillators, as it shows that the sparks of the two oscillators interact. However, I don't think the book theme provides sufficiently useful information in the honeyfarm hassler viewer to justify its use. I prefer that we err on the side of not using the book theme as it, in my opinion, clutters the image. In fact, I think when the book theme is used we should mention that the viewer includes the pattern's [[envelope]]. ~[[User:Sokwe|Sokwe]] 07:13, 29 April 2023 (UTC)

:: I added mentions of the pattern envelope in the article, without changing visibility of envelopes. That p38 hassler is composed of interacting subpatterns, and (I think) it becomes easier to see "how it works", when the envelope is visible. (If the general agreement for that oscillator is that envelope does not provide substantial benefit, I will not object -- but it would be strange for me to remove it, given that I added it myself and I think it's useful.) [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:49, 29 April 2023 (UTC)

::: I think the animation, or the user running the pattern in the viewer themselves, is sufficient to show how the components interact in the honey farm hassler. In contrast, the LCM viewers are not animated and the interaction occurs rarely so understanding the exact interaction without history cells takes more time and effort by the user. The history cells work well for the LCM viewers. I still think they cause unnecessary clutter in the honey farm hassler viewer. I too will submit to the popular view if it disagrees with my own. If we care to find out what that is, we will probably need to ask on the forums or Discord. ~[[User:Sokwe|Sokwe]] 19:55, 29 April 2023 (UTC)

One of "use cases" where I was changing the theme is when history cells make it easier to see how ''a certain pattern is composed of smaller parts''. For oscillating patterns, currently available features of LifeViewer make it possible to show the reaction envelope, by auto-running the pattern for one complete cycle (with history cells enabled) and then auto-stopping. In [https://conwaylife.com/w/index.php?oldid=125635 p8 glider reflector], it seems to help to see how a p128 oscillator is made out of two 180° reflectors. I used the same technique in [https://conwaylife.com/w/index.php?oldid=125316 p143 Bandersnatch loop] to show how catalysts are arranged relative to the reaction. There are other pages where I used "THEME Book + AUTOSTART + STOP" combination to show reaction envelopes. Would this be considered a valid use case? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 02:46, 28 February 2023 (UTC)

Another common "use case" is when showing ''a complete glider synthesis of a pattern''. I think it becomes significantly easier to understand an animated synthesis (i.e. to see "how it works") if gliders leave traces behind them, and pauses are inserted in appropriate points. An example of this usage can be seen in [https://conwaylife.com/w/index.php?title=Amphisbaena&oldid=124776 Amphisbaena]. If anyone is interested, I think I can write a more detailed explaination for how I was formatting glider syntheses with the "Book" theme -- I'm trying to be reasonably consistent with syntheses. Thanks for any feedback. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 02:46, 28 February 2023 (UTC)

== Creating pages in the OCA namespace ==

<s>As we all know,</s> well maybe not, but that's not important, I have an incomplete OCA:LeapLife page, currently under my user namespace. I'm considering completing it and moving it to the OCA namespace soon, and I would like to 1. know if there's any objection to it. 2. Know what makes an OCA rule notable enough to have an entry in LifeWiki.

Additionally, it was once planned to create some subpages under OCA:LeapLife, to document the many patterns of LeapLife. 3. Is this acceptable, and will this cause any trouble to the LifeWiki? [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 08:16, 14 October 2022 (UTC)

: I support the idea. If in doubt about whether the page is well-written / well-formatted / up-to-date / etc., the template {{tl|stub}} can always be added on the top of the page, as a lightweight way to indicate that it may need expansion. Subpages are already used - see for example [[OCA:HighLife/Bomber]], [[OCA:Pedestrian Life/List of common objects]]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:49, 14 October 2022 (UTC)

::I am fine with the proposal in the description, but not with the proposal in the title — the OCA namespace is there for a reason, and if pages on specific OCA pages are moved to mainspace, it will cause confusion over what exists in CGOL itself and what doesn't. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 11:22, 14 October 2022 (UTC)

:::Apologies - fixed now. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 11:59, 14 October 2022 (UTC)

[[User:Ultimium/OCA:LeapLife]] is halfway now. Do anyone have suggestions? Especially what to say in the Oscillators section.

: Is the current version considered ready to be moved to the OCA namespace? I do not want to move it without making sure that main contributor(s) are okay with that. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 03:05, 28 February 2023 (UTC)

: If anyone thinks the page is good enough to be moved in its current state, move it. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 09:50, 21 April 2023 (UTC)

:: I just did a round of editing. I'm not yet moving the page right now -- will wait for others a few days. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 11:32, 21 April 2023 (UTC)

::: I see that you added a note about [[trans-very long fuse with two tails]] appearing naturally. I think in this case I would rather correct the inaccurate information in the article outright, instead of making the page self-contradictory; I've already done the appropriate edit now. Unrelatedly, I noticed that hotdogPi keep adding trivias (like the block corner catalysis) to the page. I don't think reverting someone else' contribution is polite, but I can think of quite a few things that are as noteworthy as the block catalysis, so maybe they shouldn't appear on an overview article of LeapLife. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 03:28, 23 April 2023 (UTC)

:::: Is it possible to expand that part into a section on catalyses and other reactions in LeapLife, based on what is currently known? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 07:04, 23 April 2023 (UTC)

::::: If someone is interested in doing so (without going into too much details), go for it. (And indeed there are a non-zero amount of catalysts in LeapLife, if not much.) I would hestitate to mention reactions that are essentially due to the B2n or S3-q, though. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 02:08, 24 April 2023 (UTC)

Looks like there are a few to-be-done sections now. Since I don't know much of writing wiki pages, is anyone interested to help me? [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 01:35, 25 April 2023 (UTC)

: A problem that I encountered while making the methuselah list: Do we usually remove non-interacting cells for methuselahs from soup search? Especially when no one has done the minimalization at that time. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 02:58, 25 April 2023 (UTC)

===A modest proposal===

Any objections to [https://en.wikipedia.org/wiki/Wikipedia:Be_bold boldly] moving the LeapLife page to the OCA namespace? This would make it beneficial to the wide public of people interested in LeapLife (and not just relatively few enthusiasts who already know where to look). Then further discussion of incompleteness/improvements can go directly on the talk page of the article. (And this Tiki bar section would gradually become inactive and go to archives.) Of course, one might say that the page is incomplete -- but then again, I doubt there are many "complete" articles on LifeWiki. In some sense everything here is a work-in-progress. Even seemingly "mission-critical" articles like [[Conway's Game of Life]] or {{rl|HighLife}} are incomplete, in the sense that I can imagine how those pages could be expanded further. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 03:52, 25 April 2023 (UTC)

: I would prefer to fill in all the "(TODO)"s first. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 04:11, 25 April 2023 (UTC)

: Additionally, I would like to hear other people's opinion on the content. There is currently a lack of discussion. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 04:22, 25 April 2023 (UTC)

:: Re "(TODO)"s: understood -- I just wanted to say that this discussion could potentially continue indefinitely long, because it's always possible to improve something. Re: lack of discussion: this is usual (and I think it's to be expected) for on-wiki discussions. There are often few (if any) quick responses. Partly this is because the community is small, and even fewer people have LifeWiki accounts. Partly this may be because the content of the article could just as well be discussed on its talk page over time -- Tiki bar is probably best reserved for "large-scale" questions that are relevant to multiple different pages, or the way the website functions, etc. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 04:30, 25 April 2023 (UTC)

::: Indeed; If you think it might be appropiate to move this discussion to [[User talk:Ultimium/OCA:LeapLife]] and/or continue the discussion about the page on [[User talk:Ultimium/OCA:LeapLife]], I would do so. The lack of discussion is not just applicable to this page; I think not many pages on LifeWiki took comparable effort to most articles on Wikipedia. That might be because the nature of LifeWiki, most articles are stubs and it is a stub because there are not much to write about it. But I definitely would like to see more well-written pages with people discussing. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 06:33, 25 April 2023 (UTC)\

I would prefer to have someone else to move the page, but since no one is replying, I'm doing the next best thing: If no one objects or make major changes to the page, I'm moving it to the OCA namespace. [[User:Ultimium|Ultimium]] ([[User talk:Ultimium|talk]]) 05:20, 27 April 2023 (UTC)

: I went ahead and moved it, just to keep anyone else from agonizing over it further. I left a redirect for now, since there are some leftover links to it multiple places. (If you did move it yourself, then someone ''might'' complain about that, citing the "don't document your discoveries" guideline -- even though several other people did in fact significantly contribute to the LeapLife article. However, now a mere mention of "don't document your own stuff" will not suffice; any further objection would have to be an objection to my judgment call.) [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 06:01, 27 April 2023 (UTC)

==Regarding the censuses==
Many object pages, for instance [[Octagon 2]], state their commonness with their rank among all objects in Achim Flammenkamp's census, then their rank among only oscillators in Catagolue. Is the reason that infinite-growth patterns are excluded in Achim's census, or that it's meant to be more representative of the dynamics of ash in an infinite non-sparse universe? Is this truly worth it having (at present) (159214128553422*16**2)/(1829196*2048**2)>5312 times fewer initial random cells simulated and (159214128553422*16**2)/(1829196*2048**2*(-(1-0.375)*lg_2(1-0.375)-0.375*lg_2(0.375)))>5566 times fewer bits of entropy?

Should this information, when only given in the form of a commonness rank (and sometimes also expected number of soups per occurrence), have an infobox section instead?

Also, speaking of which, what should be done with the pages for strict still lifes with the sections stating that all with sufficiently few cells (including them) are known to be constructible within a maximum number of gliders? These aren't useful, surely, to duplicate information so much, can we assume that people looking for this information (that is numerical and conducive to being presented in tabular form) will go to Catagolue instead? Especially those with apgcode-only titles, pages here aren't necessary for lookup by conventional name if they have none. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 13:51, 9 December 2022 (UTC)

: Re: infobox -- my preference would be to leave the commonness/occurrence information in plain text. The infoboxes are already long enough, so that they often conflict with sufficiently wide viewers not fitting to the left of the infobox, and it is sometimes necessary to reorder sections to avoid that conflict. As a consequence, I'd prefer not to make infoboxes even taller than they are. Stating what is known in the text also gives more flexibility. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:13, 9 December 2022 (UTC)
: Re: synthesis -- the glider synthesis sections of pages could contain information not only about the current cheapest synthesis cost, but also historical information about when the synthesis was found, and also about previously known / alternate syntheses. Here is an example: [https://conwaylife.com/w/index.php?title=Krake&oldid=118147 Krake]. I'm slowly adding this kind of information to pages. I think this is useful and interesting to readers - instead of just the cheapest glider cost, show the syntheses themselves and tell when/how these were found. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 14:13, 9 December 2022 (UTC)

==Should LifeWiki be more like the chessprogramming wiki?==
It contains things like [https://www.chessprogramming.org/Algorithms an article on general algorithms] and others on things like bitwise operators (that don't pertain inherently to the nature of the problem it documents (playing chess as well as possible with finite resources), but are useful to human endeavours to solve it), should we have some (covering things that arise frequently enough in the study or implementation of cellular automata to be worth detailing with more specifics than Wikipedia) also?

Specifically, should there be pages here with contents of at least some of the sections of [[Tutorials/Coding Life simulators]], in the instructive style of the other tutorial pages on how to set up and use various other software? Perhaps also one on writing simple row-based search programs that find oscillators and spaceships in equivalent multistate Wolfram rules for given widths in 2D ones. If we had one explaining the idea of [https://gist.github.com/DavidBuchanan314/acae2aab38953759aacc114b417ed0b9 David Buchanan's simulator] (not the specifics of the conversion to YUV4MPEG but the simulation, using it as a basis for teaching (being that Python is a simple language to read, though it has doubtless been thought of before)), and perhaps even some of the ideas in [https://gist.github.com/DroneBetter/4f5d775e7c37f062ce750d4a8fefc84a my fork], perhaps such a page could link to [https://graphics.stanford.edu/~seander/bithacks.html the Stanford bit-twiddling hacks] page (which may be of a great deal of interest to the kinds of people who'd be interested in such articles), or even an intermediate page here? I could create such an explanation of Buchanan's and my programs in my user area, then see whether it's deemed sufficiently useful to be moved to the mainspace, if anyone would like. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 01:16, 13 December 2022 (UTC)

: There are some forum discussions that seem relevant to the idea of documenting various interesting technical details of algorithms e.g. [https://conwaylife.com/forums/viewtopic.php?f=7&t=1792 Searching algorithms], [https://conwaylife.com/forums/viewtopic.php?p=22858#p22858 Re: 3c/7 othogonal and 2c/9 diagonal spaceships], [https://conwaylife.com/forums/viewtopic.php?p=136037#p136037 Re: Beta Reader Thread for Game of Life Textbook] and others. I personally like the idea -- if someone understands something and can explain it in words, why not do that? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 04:39, 13 December 2022 (UTC)

:: I don't know enough about those to do so (though I hope to one day), however I have made [[Tutorials/Coding Life simulators/bitwise SWAR Life]] (covering my program up to the three different simulation modes and implementation of manifolds), being that I have some more time on my hands now I think I will make another regarding the application of the Pólya enumeration theorem to implementing efficient indexing methods for binary matrices under symmetry eventually (after finishing and optimising and cleaning my program for that), if it's okay

:: Since the user Magma from the ConwayLife lounge taught me about the Pólya enumeration theorem, I made my "[https://github.com/DroneBetter/ChessPieceVision/blob/main/eightfold%20reducer.py eightfold reducer]" its own program (much was made when I was relatively new to Python and the rest only as a proof-of-concept, I will eventually get around to cleaning it up (optimising and reducing some things) and adding the rest of the class methods), it was originally only an implementation of my idea for exhaustively generating single canonical representations of nonequivalent states under symmetry in square boards (more efficiently than iterating over all states and discarding those that are not their own lexicographically-minimal orientation), but that I realised could have efficient indexing methods using the theorem, and I more recently made a "[https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd dimensional INT enumerator]," originally for confirming the number of 3D Moore transitions in [[Isotropic_non-totalistic_cellular_automaton#Table_of_isotropic_non-totalistic_rulespaces|the INT rulespace table]] and supporting arbitrarily many dimensions but then today modified for returning closed forms for numbers of nonequivalent binary hypercubes in terms of width using the theorem, given a number of dimensions (see the comment on the gist for a brief explanation). Being that the first one only pertains to cellular automata slightly (ie. the indexing methods are useful for parallelisation, initialising the threads at the beginnings of different slices of the search space (that would be able to proceed through with the even more efficient next() method)) and the second only extremely tenuously (and to a more theoretical area of the study of cellular automata), would it be okay for me to make articles about their ideas (and explaining their implementations' specifics (such that the pages contains within them both a set of instructions to implement the idea and documentation of a functionally complete demonstration), like I did in the bitwise SWAR Life page)? [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 03:56, 30 December 2022 (UTC)

::: I have made [[Pólya enumeration theorem]] and [[Tutorials/Coding Life simulators/eightfold reducer]] now :-) [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 17:51, 2 January 2023 (UTC)

== Attempting to show huge patterns in infoboxes ==

What is the current consensus on attempting to show huge patterns in infoboxes (with the alternative being to display the pattern in a viewer inside the text)? I am not sure whether changes like [https://conwaylife.com/w/index.php?title=Traffic_lights_extruder&diff=121113&oldid=103147 this] or [https://conwaylife.com/w/index.php?title=Spiral_growth&diff=121106&oldid=100868 this] are improvements. It seems like infoboxes work better for small patterns. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 00:00, 20 December 2022 (UTC)
: And some bigger patterns end up looking like smudged fingerprints in the infobox. But I think we need the categorization that follows from infobox, as well as the standard presentation. Maybe do both presentations? And while we're at it, maybe agree on a max width for whatever is shown to the left of an infobox? [[User:Book|Book]] ([[User talk:Book|talk]]) 17:55, 20 December 2022 (UTC)

:: I think it would be much better to have some reasonable '''upper limit on the width of the infobox itself''', to leave enough space for the main part of the page. The automatic categorization could in principle be done in a completely invisible way without enforcing any particular layout/presentation (e.g. see {{tl|Glossary}}). I'm not convinced that all pages need to be indiscriminately converted to infobox-based layout - being able to explain/describe/show the pattern in some reasonably good way is more important than any "standard presentation". Sufficiently large patterns simply do not fit well in the infobox. Some patterns may be better shown as images or schemes, and/or by explaining/describing/showing smaller components. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 19:00, 20 December 2022 (UTC)

::OK, I see the issue and the benefit. Hiding the infobox in these cases would be good, if 1)the data in the hidden infobox still functioned as usual in terms of all the things it triggers; 2) the article displayed important infobox data in its text. How does one do #1? [[User:Book|Book]] ([[User talk:Book|talk]]) 23:57, 6 January 2023 (UTC)

: No significant updates so far, just adding links back to related forum posts for future reference: [https://conwaylife.com/forums/viewtopic.php?p=158434#p158434 p158434] [https://conwaylife.com/forums/viewtopic.php?p=158438#p158438 p158438]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 05:43, 6 March 2023 (UTC)

==Regarding programming language syntax colouring support in code blocks==
It would greatly benefit [[Tutorials/Coding Life simulators/bitwise SWAR Life]] and [[Tutorials/Coding Life simulators/eightfold reducer]] if we were to have this. Also, how do I prevent linebreaks followed by indentation (which appear often in my programming, as you may expect) causing code blocks to generate others nested inside them? Neither <nowiki><pre> nor <code></nowiki> seem to allow this. And is there a way to have inline monospaced text (ie. without line breaks) like the Python docs? [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 17:51, 2 January 2023 (UTC)

: Addendum: The second question's answer is <nowiki><tt></nowiki>, I have since learned. [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 00:02, 26 May 2023 (UTC)
: What about <nowiki><blockquote><pre>...</pre></blockquote></nowiki>? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 17:58, 2 January 2023 (UTC)

<blockquote><pre>
class Thingy:
pass

def example():
print("Hello World!")
</pre></blockquote>

==Regarding "known" information==
For instance, [[List of period-2 oscillators with 17 cells]] says there are 199 known such oscillators, implying that the explicit examples provide only a lower boun, however [https://oeis.org/A056614 A056614](17)=199 and Mark Niemiec had a section of a page, entitled [https://conwaylife.com/ref/mniemiec/p2.htm#p2-17 The 199 seventeen-bit period 2 oscillators], do these count as sufficient sources in and of themselves or should a program be provided to act as proof of the nonexistence of any more? As mentioned above, I cited my program for the confirmation of the disputed number of 3D INT transitions in [[Isotropic non-totalistic cellular automaton#Table_of_isotropic_non-totalistic_rulespaces|the table]], should this be the convention for proofs of other such values that are given in pages but currently imply that they're only accurate to as far as is known and not objective?

I don't think the OEIS would add values not known to be correct (assuming no bugs in implementations), being that they say "Thousands of people use the sequence database every day. Please take great care that the terms you send are absolutely correct. The standards are those of a mathematics reference work." as you edit a sequence, but [https://oeis.org/A231427 A231427] was amended with the discovery of the rattlesnake, so perhaps not too rigorous when it comes to Life matters. {{unsigned|DroneBetter|21:55, 3 January 2023‎}}

: Added the two references to pages [https://conwaylife.com/w/index.php?title=List_of_period-2_oscillators_with_17_cells&diff=126123&oldid=121447 for 17 cells] and [https://conwaylife.com/w/index.php?title=List_of_period-2_oscillators_with_18_cells&diff=126124&oldid=121464 for 18 cells] -- these links seem to be useful as ways of helping the curious reader to find more information. I think it is safe to leave "known" in -- a computer program may have bugs, a mathematical proof may have gaps, and so on. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 05:18, 6 March 2023 (UTC)

== Single column vs Two columns of EmbedViewer ==

What is the reason to restrict layout to stacking all {{tl|EmbedViewer}} in a single column like [https://conwaylife.com/w/index.php?title=Jason%27s_p33&curid=2480&diff=126035&oldid=126034 in this edit]? That could made the page overly long with much whitespace around. Well, I am not suggesting possibilities for three or more columns — which would made the page too wide — I am just curious about the case of two columns. [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 14:42, 5 March 2023 (UTC)
:Actually, I prefer three, which is what I use on my userpages. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 15:04, 5 March 2023 (UTC)

: The question in the first sentence appears to be about the specific edit. As explained in the edit summary, it is a revert to a single column. The reverted edit is a previous edit made by someone else ([https://conwaylife.com/w/index.php?diff=126024&oldid=111614 diff=126024&oldid=111614]), changing the layout from single column to double column, with false edit summary stating "The last version still looks too wide for me". The edit summary is false, because the edit made the gallery more wide, not less. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 15:13, 5 March 2023 (UTC)
: More generally for the main/OCA namespaces, single-column galleries are preferable, because a two-column gallery already does not fit to the left of the infobox. For galleries in later sections of the page that can be reasonably assumed to appear strictly below the infobox on all devices, two columns could be used. Three columns are already too wide, even without the infobox. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 15:13, 5 March 2023 (UTC)

:: By "looks too wide for me" I meant individual viewers, not the sum of two. Is there a demonstration for a two-column gallery failed to fit to the left of infobox? [[User:GUYTU6J|GUYTU6J]] ([[User talk:GUYTU6J|talk]]) 15:23, 5 March 2023 (UTC)

::: https://conwaylife.com/forums/viewtopic.php?p=158624#p158624 [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 15:44, 5 March 2023 (UTC)

Is there a potential way to make it change based on screen width? On my screen, 5 columns easily fit to the left of the infobox, and 1 column leaves a ridiculous amount of white space. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 07:33, 29 March 2023 (UTC)

: For static images only, the <tt><gallery>...</gallery></tt> tag should work ([https://conwaylife.com/w/index.php?title=Snake&oldid=127486#Extensibility example]). For embedded viewers, I'm not aware of any existing solution. See also a forum thread for all infobox-related issues/discussions: [https://conwaylife.com/forums/viewtopic.php?f=3&t=5981 link]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:29, 29 March 2023 (UTC)

== Adding kinetic symmetry to infoboxes ==

Currently, pattern symmetries are tracked by an invisible template at the bottom of the pattern page which does nothing other than add a category. I don't like this, since it's in stark contrast to every other pattern statistic which is tracked in the pattern infobox. However, the current system is in place for basically every oscillator and spaceship with time symmetry, so moving things to the infobox would take a long time and require a lot of changes. I think it'd be worth it, however, since kinetic symmetry is currently only described in the currently rather obscure [[kinetic symmetry]] page. Having this in the infobox would direct more traffic to that page, increase the understanding of kinetic symmetry in the Life community, and also make the symmetries of patterns far more obvious and clear since people wouldn't have to sift through the twenty categories each pattern is in to find out what each pattern is classified as.

Any thoughts? - [[User:AwesoMan3000|AwesoMan3000]] ([[User talk:AwesoMan3000|talk]]) 10:54, 7 March 2023 (UTC)
: It's doable. However, a script that does it automatically would also need to look at the bounding box, as the templates don't distinguish between odd and even symmetry. [[User:HotdogPi|HotdogPi]] ([[User talk:HotdogPi|talk]]) 14:03, 7 March 2023 (UTC)
:: Would a script even be able to distinguish between a D2_+1 pattern that flips across the edges and vertices of cells (-f+e) and a D2_+2 pattern that flips through the faces and edges of cells (-e+e)? Both are orthogonally flipping oscillators which would have odd by even bounding boxes. - [[User:AwesoMan3000|AwesoMan3000]] ([[User talk:AwesoMan3000|talk]]) 14:24, 7 March 2023 (UTC)

: I like the idea to add specific kinetic symmetry to the infobox (and perhaps create corresponding categories for every possible value, so that objects with a given symmetry can be viewed). However, on the other hand the infoboxes are already quite tall, and significantly reduce the available width for the main content that is located in the beginning of the page. Given that there are several related-but-distinct issues with infoboxes (as evidenced by the Tiki bar), would it be possible to discuss infobox-related questions as part of a broader discussion of infoboxes (perhaps preferably on the forum rather than on the wiki, so that forum members without LifeWiki accounts could reply as well)? [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 06:55, 8 March 2023 (UTC)

: A forum thread for infobox-related issues: [https://conwaylife.com/forums/viewtopic.php?f=3&t=5981 link]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 06:19, 26 March 2023 (UTC)

=="Oscillators made of still lifes"==
I was perusing Catagolue (by means of my program), and found a D4_+1 oscillator comprised of still lifes, already named the {{LinkCatagolue|xp5_y025a404a52z6a40653x35604a6z65206acxca60256zy04a52025a4|patternname=half-tub harbour|style=raw}}, that also has rarer (single-occurrence) {{LinkCatagolue|xp5_y125a404a6z06a40653x35604a52z4a5206acxca60256zy2652025a4|patternname=C4_1|style=raw}} and {{LinkCatagolue|xp5_y125a404a6z25a40653x35604a6z065206acxca6025a4zy2652025a4|patternname=D4_x1|style=raw}} variants. There wasn't any result for "oscillator made of oscillators," only [[Constellation]] (which seems vaguely fitting but not very), should a page be created dedicated to oscillators that are separable into still lifes (that hassle each other) in at least one phase? Are there any other such cases to document? [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]]) 22:50, 28 March 2023 (UTC)
: Amendment: I didn't notice the much more common {{LinkCatagolue|xp5_y135a404a53z35a40653x35604a53zca5206acxca6025aczy1ca52025|patternname=D8_1 occurrence|style=raw}} (due ot it having lower volatility and not appearing in my sortings) — Preceding unsigned comment added by [[User:DroneBetter|DroneBetter]] ([[User talk:DroneBetter|talk]] • [[Special:Contributions/DroneBetter|contribs]]) 23:40, 28 March 2023

Apologies if the following is a bit off-topic; one interesting kind of oscillators is those where several consecutive phases consist of nothing but [[Spaceship|gliders]] and stationary objects, in such a way that the oscillator permanently becomes a strictly-lower-period pattern if all the gliders are instantly removed from one of such phases. These oscillators look quite cool and may well deserve a dedicated collection. Here's a recently posted alien example: [https://conwaylife.com/forums/viewtopic.php?p=159731#p159731 post159731] ({{cata|object/xp33_033eky3g8oe6zzgoc84y3koz11y7133/b2ek3eikq4acejrw5ay6i7cs2-ek3acjry4ajrty5acjq6cn8|Catagolue}}). In Life, several examples are the [[p143 Bandersnatch loop]] (and its period-doubling stabilisation), {{cata|object/xp253_y52egoy233yk33y2oge2zy133y7488oy033y633y0o884y733zccyd111yi111ydcczyn6d9e6w6e9d6zzzzyn6b976w679b6z33yd88oyio88yd33zy1ccy0ggy12111y0ccy6ccy01112y1ggy0cczy54701y2ccykccy21074/b3s23|this p253}}, {{cata|object/xp160_y42egoy533z0oggzx23ye8sky3cczz66y3572yeo8zyr113zy8ooy531e8/b3s23|this p160}}, the (capped) [[period-563 glider gun]]. There should be more examples, even not counting adjustable glider shuttles. (And even more, if the requirements are relaxed to allow any oscillators with temporary internal well-separated gliders.) [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 06:36, 29 March 2023 (UTC)

== Pauses in glider syntheses ==

Why do most glider synthesis LifeViewer embeds have pauses in them? I get it's to see important intermediates (although sometimes it pauses before the gliders even collide) but it's really awkward to watch.
 On a related note, why do they all have a copy of the final object on the right side? Seems redundant. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 09:02, 9 April 2023 (UTC)

: Some (not all) glider syntheses have pauses in them, because I decided to add pauses in them. I'm not aware of any previous conventions regarding of how exactly to represent glider syntheses on LifeWiki. The relatively long pause {{eq|T|20}} (before the gliders collide) in particular is so that it is visible where each glider comes from, and it is easier to see that the synthesis is [[rewind]]able. The reason behind adding a copy of the (stationary) final object is because [[Mark Niemiec's database|Mark Niemiec's glider synthesis database]] does this, and I did not really want to invent something entirely new from scratch, when there are existing tested ideas that can be reused in this context. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:22, 9 April 2023 (UTC)

:: How does the pause at T = 20 do anything that the pause at T = 0 doesn't? You don't need to invent anything new. Just show the synthesis. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 16:35, 25 April 2023 (UTC)

::: Please don't modify formatting in other replies. Especially [https://conwaylife.com/w/index.php?title=LifeWiki:Tiki_bar&diff=129705&oldid=129650 in this case], this makes it confusing and hard to view the reply by looking at the diff of the change. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 16:45, 25 April 2023 (UTC)

::: I'm intentionally inserting the pause {{eq|T|20}} before the gliders collide, so that it is visible where each glider comes from, and it is easier to see that the synthesis is [[rewind]]able. The pause at {{eq|T|0}} does not highlight rewindability. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 16:48, 25 April 2023 (UTC)

: If this can be useful for setting future guidelines, I think I could write a more detailed explaination for my particular choices when formatting syntheses. Earlier [https://conwaylife.com/w/index.php?title=LifeWiki:Tiki_bar&diff=125750&oldid=125749 I already asked] about that on Tiki bar, but got no response there so far. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:21, 9 April 2023 (UTC)

[[User:Confocal]], I'd like to bring this up again. You seem to be inserting pauses in syntheses because that's how you personally best see the things you personally look out for. That might work well for you, but you can't assume other people work the same way. I find the pauses very disorienting. (It would be nice to get the opinions of some other people here.) --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 09:04, 26 May 2023 (UTC)

: I'm trying to format syntheses in a consistent way. It is possible that there's a better presentation, but this question would be something that's best discussed once for all affected pages, rather than arguing about presentation for individual pages. Otherwise, any other possible formatting is subject to the exact same critique: without general guidelines, any possible formatting is "just some editor's opinion on what works best". There are lots of different possible ways how one could show a [[glider synthesis]] with a LifeViewer applet. To give some examples: (a) non-animated pattern; (b) looped animation without any pauses; (c) looped animation with pauses (several variations depending on where you add the pauses); (d) non-moving gliders that are animated for e.g. 20 ticks and then stopped with visible reaction envelope to highlight where each glider comes from. For the record, my own preferences can be seen in pages where I added syntheses. The pause at {{eq|T|0}} is so that the gliders don't immediately begin moving after appearing out of nowhere. The pause at {{eq|T|20}} is to give some time to look at the non-moving synthesis (with visible traces behind gliders). The final pause at the end is to give time to see the final constructed object before restarting animation. Other pauses are between intermediate steps for multi-step syntheses, or to show "interesting" intermediate unstable objects (e.g. symmetric phases). [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 09:39, 26 May 2023 (UTC)

I'd just like to interject that I find the pauses in patterns extremely annoying. The [[Silver reflector]] infobox pauses for two full seconds at each Herschel intermediate, which is sufficiently long to get frustrated. A half-second pause would be much better, or maybe a second at most, but a two-second pause is excessive. [[User:Calcyman|Calcyman]] ([[User talk:Calcyman|talk]]) 12:04, 26 May 2023 (UTC)

== Volatility rounding ==

Seems like volatility is rounded to two decimal places, and there are categories for each of those. But is it rounded up, down, or to nearest? This also applies to heat. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 16:54, 21 April 2023 (UTC)

== Autostart ==

[[User:Confocal]], you removed AUTOSTART in viewers on [[Raucci's p38]]. Why? --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 23:42, 4 May 2023 (UTC)

: As [https://conwaylife.com/w/index.php?title=Raucci%27s_p38&diff=130088&oldid=130085 explained in the edit summary], I disabled animation in Gallery/LCM sections on that page. The reason is the same as already [https://conwaylife.com/w/index.php?title=User_talk:Galoomba&diff=129697&oldid=129696 explained before] for another page: there are multiple viewers on the page, hence it seems better to not make all of them continuously running animation. In this case, I stopped all viewers in galleries and left "singular" viewers running, just because that was a simple solution. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 00:04, 5 May 2023 (UTC)

: I guess the "real question" is not this particular page, but rather when to animate and when to not animate. When there are many viewers on a single page, AUTOSTARTing them all makes the page slow. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 00:04, 5 May 2023 (UTC)

:: Does it actually make the page slow or are you just guessing? A few low-resolution 10fps animations shouldn't have a significant effect on performance. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 22:48, 19 May 2023 (UTC)

::: Yes, each added animated viewer does actually make the page noticeably slower. Apart from that, animation draws attention which is another reason why too much animation is bad. Unrelated: please do not [https://conwaylife.com/w/index.php?diff=131197&oldid=130169 "fix" markup] in my replies. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 22:54, 19 May 2023 (UTC)

:::: Using indents for replies is convention on Wikipedia, is there a different convention here? --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 23:05, 19 May 2023 (UTC)

::::: There are no hard-and-fast conventions here as far as I know, apart from the general convention to avoid editing replies by other people. LifeWiki is not Wikipedia, but for completeness here's the relevant quote from Wikipedia ([https://en.wikipedia.org/wiki/Wikipedia:TPO Wikipedia:TPO]): "It is not necessary to bring talk pages to publishing standards, so there is no need to copy edit others' posts. Doing so can be irritating. The basic rule, with exceptions outlined below, is to not edit or delete others' posts without their permission." [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 23:14, 19 May 2023 (UTC)

:::::: From the same page: "'''Examples of appropriately editing others' comments''' [...] '''Fixing format errors''' that render material difficult to read. In this case, restrict the edits to formatting changes ''only'' and preserve the content as much as possible. Examples include: fixing indentation levels, removing bullets from discussions that are not consensus polls or requests for comment (RfC), [...]" --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 23:26, 19 May 2023 (UTC)

::::::: The basic point remains: don't edit other's replies without their permission. Wikipedia is a much bigger project (compared to LifeWiki), and it naturally has a larger set of detailed rules and exceptions. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 23:36, 19 May 2023 (UTC)

:::::::: I'm not editing the replies though. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 17:40, 20 May 2023 (UTC)

::::::::: I replied on your talk page: [https://conwaylife.com/w/index.php?title=User_talk:Galoomba&diff=131234&oldid=130833 link]. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 21:18, 20 May 2023 (UTC)

:::: What exactly do you mean by "making the page slower"? --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 23:07, 19 May 2023 (UTC)

::::: I mean literally that the page becomes slower. A continuously running animation is a running computation and it slows down everything that runs. I think a few "small" animations or a couple "large" animations per page should suffice in most cases. Beyond that, either most or all viewers should remain non-animated (e.g. in large unstructured galleries, it seems reasonable to leave all viewers non-animated), or some content with viewers should be moved/split into a separate page where there are fewer viewers and so some of them can be animated. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 23:14, 19 May 2023 (UTC)

:::::: What is there on the page, except the viewers themselves, that can become slower? The rest of the page is static. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 23:26, 19 May 2023 (UTC)

::::::: I think I already answered the question above. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 23:36, 19 May 2023 (UTC)

:::::::: You said "everything that runs". But the viewers are the only thing that's running. --[[User:Galoomba|Galoomba]] ([[User talk:Galoomba|talk]]) 00:39, 23 May 2023 (UTC)

::::::::: Only if you count things that are shown on the page itself, and do not count the browser itself and other running things in the system. And even then, my points above remain valid: (a) every added running animation slows down everything that runs (including every running animation), (b) every added running animation is an added distraction that draws attention to it and decreases helpfulness of other animations. [[User:Confocal|Confocal]] ([[User talk:Confocal|talk]]) 01:08, 23 May 2023 (UTC)

RLE:P822hdreflector

2023-05-08T13:53:02Z

Calcyman: Make the pattern in the infobox spartan

x = 19, y = 20, rule = B3/S23
14b2o$14bo$obo9bobo$b2o9b2o$bo3$11b2o$11b2o3b2o$15bo2bo2$14bo$b2o11bo
2bo$bo5b2o3b2ob2o$2b3o2b2o3b3o$4bo8bo$2b2o$2bo$obo9b2o$2o10b2o!

History of Catagolue

2023-02-21T16:32:30Z

Calcyman: 4e15 objects

The following is an overview of the '''history of Adam P. Goucher's [[Catagolue]]'''.

== 2015 ==
* February 20: Catagolue becomes operative.<ref name="post17038" />
* April 24: the B3/S23/C1 census reaches a total of one trillion objects.<ref name="post18988" />
* September 2: the B3/S23/C1 census reaches a total of ten trillion objects.
* September 16: the [[pony express]], the first natural [[infinite-growth pattern]] other than the [[block-laying switch engine]] and [[glider-producing switch engine]] is found in a soup.<ref name="ponyexpress1" /> After being initially rejected by Catagolue, the containing [[haul]] is recomputed and manually committed on September 28.<ref name="ponyexpress2" />
* September 24: Catagolue supports the generation of backups, including daily backups for the C1 symmetry of [[Conway's Game of Life]].<ref name="post22956" />
* October 5: the first instance of [[Phoenix 1]], the last remaining unseen 12-bit object, is found.<ref name="catagolue20151005" />
* October 21: the B3/S23/C1 census reaches a total of twenty trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2015-10-22|title=Census|accessdate=October 22, 2015}}</ref>
* October 27: the B3/S23/C1 census reaches a total of one trillion soups.<ref>{{CiteCatagolue|page=census/b3s23/C1-2015-10-27|title=Census|accessdate=October 27, 2015}}</ref>

== 2016 ==
* January 25: [[praosylen]] releases a hacked version of [[apgsearch]] v0.54 which can search [[Isotropic non-totalistic cellular automaton|isotropic]] rules and upload the results to Catagolue.<ref name="post27013" />
* February 20: the B3/S23/C1 census reaches a total of 50 trillion objects exactly one year after Catagolue was launched.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-02-21|title=Census|accessdate=February 21, 2016}}</ref>
* June 20: the B3/S23/C1 census reaches a total of 100 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-06-21|title=Census|accessdate=June 21, 2016}}</ref>
* July 5: a new {{period|16}} [[oscillator]], [[Rich's p16]], is discovered in the ash of a [[symmetry|D2_+1]] soup.<ref name="post32766" />
* July 6: the B3/S23/C1 census reaches a total of 5 trillion soups.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-07-06|title=Census|accessdate=July 6, 2016}}</ref>
* August 12: a 56-bit [[still life]], the [[cloverleaf interchange]], is found in the B3/S23/C1 census, making it the largest still life to appear naturally.<ref name="post34242" />
* August 22: the B3/S23/C1 census reaches a total of 100,000 distinct objects.<ref name="post34623" />
* September 4: the B3/S23/C1 census reaches a total of 150 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-09-04|title=Census|accessdate=September 4, 2016}}</ref>
* September 20: [[Symmetry|D2_+2]] becomes the first [[Conway's Game of Life|B3/S23]] symmetry other than C1 to reach 1 trillion objects.

== 2017 ==
* January 13: Catagolue starts collecting [[slow salvo]] data using the SS pseudo-symmetry.
* March 15: B38/S23/C1 ([[Pedestrian Life]]) becomes the first rule/symmetry other than B3/S23/C1 to reach 10 trillion objects.
* May 16: the B3/S23/C1 census reaches a total of 200 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2017-05-16|title=Census|accessdate=May 16, 2017}}</ref>
* August 19: Catagolue gains the ability to census [[Generations]] and [[Birth on zero neighbours|B0]] rules, fed by [[apgsearch]] 4.0.<ref name="post49184" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/33b54efbf523006ab57c8afda2a1ab3a2c4aa7f0|title=B0 support|author=Adam P. Goucher|date=August 19, 2017|work=GitLab}}</ref>
* August 21: Catagolue gains the ability to census [[Larger than Life]] rules, fed by [[apgsearch]] 4.1.<ref name="post49541" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/4b1f33344697d56db32d4aa91b51f680f29f3aa5|title=Larger than Life|author=Adam P. Goucher|date=August 21, 2017|work=GitLab}}</ref>
* September 10: Catagolue gains official support for [[Isotropic non-totalistic cellular automaton|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.2.<ref name="post50771" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/c8399b80b1499eaf25a2813f5ffad447bf1edfaf|title=Supports non-totalistic rules|author=Adam P. Goucher|date=September 10, 2017|work=GitLab}}</ref> Previously, these rules required a hacked version of the original apgsearch [[Golly]] script.

== 2018 ==
* June 3: Catagolue gains the ability to census [[Generations]] variants of [[Larger than Life]] and [[Isotropic non-totalistic cellular automaton|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.3.<ref name="post60663" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/f493165b633b22f7f097dfaddd76fb0fc696ab3c|title=LtL Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}</ref><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/def0394386b9a5e6feb87bb76a6ffbb12ebff2a5|title=Isotropic Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}</ref>
* October 28: Catagolue starts collecting data on [[methuselah|long-lived patterns]], fed by [[apgsearch]] 4.54.<ref name="post65133" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/fcef6c005e54e379554b266730b222ffb8849c47|title=Preliminary support for methuselahs|author=Adam P. Goucher|date=October 28, 2018|work=GitLab}}</ref>
* October 29: Catagolue gains the ability to census [[BSFKL]] rules, fed by [[apgsearch]] 4.56.<ref name="post65313" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/d83ac8acd4712347e1a688b3399f880df1c84327|title=BSFKL rulespace|author=Adam P. Goucher|date=October 29, 2018|work=GitLab}}</ref>
* November 7: Catagolue gains the ability to census higher-range totalistic [[Life-like cellular automata]], fed by [[apgsearch]] 4.63.<ref name="post65439" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/662f9a33c9b85b363d84cdb0dfbb14af0914e61c|title=Higher-range outer-totalistic rules|author=Adam P. Goucher|date=November 7, 2018|work=GitLab}}</ref>
* November 29: the B3/S23/C1 census reaches a total of 250 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2018-11-29|title=Census|accessdate=November 29, 2018}}</ref>
* December 1: Catagolue gains the ability to census isotropic [[hexagonal neighborhood]] rules, fed by [[apgsearch]] 4.66; only C1, 1x256, 2x128, 4x64 and 8x32 were initially supported, not higher symmetries, as these were incompatible with the hexagonal neighbourhood.<ref name="post66090" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a3f3f7eb469f0c0d178e510b72cdc108b8ea8cee|title=Hexagonal rules|author=Adam P. Goucher|date=December 1, 2018|work=GitLab}}</ref> Later, support for all [[Symmetry#Hexagonal-grid_and_triangular-grid_symmetries|hexagonal symmetries]] except for C3_3 and D6_3 was added.<ref name="post66627" /><ref name="post66638" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/30a9439c2b0b43422d26229473af6d171e01dfec|title=Support two more hexagonal symmetries|author=Adam P. Goucher|date=December 19, 2018|work=GitLab}}</ref><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/9620c694f6a320553fb5c299abcac57557ca5341|title=More hexagonal symmetries|author=Adam P. Goucher|date=December 20, 2018|work=GitLab}}</ref>
* December 11: the first instance of the [[heptapole]], the last remaining unseen 13-bit object, is found.<ref name="post66400" />
* December 11: Catagolue starts collecting data on [[diehard]]s, fed by [[apgsearch]] 4.69.<ref name="post66402" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/15e3f0e6f4dc07a2c62559191b729bf94c2d75cb|title=Detect messless methuselahs|author=Adam P. Goucher|date=December 11, 2018|work=GitLab}}</ref>
* December 12: Catagolue supports [https://en.wikipedia.org/wiki/Gzip gzip] compression of certain tabulations.<ref name="post66417" />
* December 26: The source code for Catagolue is released under an MIT licence.<ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68c3581955aefc96763aa604ab05a7128ae8be37|title=MIT licence|author=Adam P. Goucher|date=December 26, 2018|work=GitLab}}</ref>

== 2019 ==
* January 3: the B3/S23/C1 census reaches a total of 300 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-01-03|title=Census|accessdate=January 3, 2019}}</ref>
* January 9: Catagolue gains the ability to census [[Golly]] rule tables and rule trees, fed by [[apgsearch]] 4.8.<ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/689faba78cda80a91617c615a4644790f5ee75dc|title=Support for custom rules and neighbourhoods|author=Adam P. Goucher|date=January 9, 2019|work=GitLab}}</ref>
* January 15: Catagolue gains native support for [[Deficient]] and [[Extended Generations]] rules, fed by [[apgsearch]] 4.83.<ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a5812bb36a3f2d40b7fbf630f90546bbf1bf1fe4|title=Native support for Extended Generations and Deficient rules courtesy of M. I. Wright|author=Adam P. Goucher|date=January 15, 2019|work=GitLab}}</ref>
* February 12: a [[Schick engine]] first appears naturally in an asymmetric soup.<ref name="post70479" />
* March 3: a [[figure eight on pentadecathlon]] first appears in an asymmetric [[soup]],<ref name="post72438" /> making it the highest period oscillator to have occurred [[natural]]ly.<ref>{{citeCatagolueStats|March 3, 2019}}</ref>
* March 24: Catagolue starts collecting data on soups with large final populations, fed by [[apgsearch]] 5.03.<ref name="post73826" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7|title=Log soups with final population exceeding 3000 -- thanks to 'testitemqlstudop' for the suggestion|author=Adam P. Goucher|date=March 24, 2019|work=GitLab}}</ref>
* March 27: the first instance of long4 [[melusine]], the last remaining unseen 14-bit [[still life]], is found.<ref name="post74007" />
* March 31: the B3/S23/C1 census reaches a total of one million submitted hauls.<ref name="message561987442719064076" /><ref>{{CiteCatagolue|page=census/b3s23/C1-2019-04-01|title=Census|accessdate=April 1, 2019}}</ref>
* April 12: Catagolue starts collecting data about glider syntheses from [[Shinjuku]].<ref name="message566317445766316042" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/f3b4ab346fc7e66f5626f754544ae31f72c83ee2|title=Potentially allow Catagolue to receive syntheses|author=Adam P. Goucher|date=April 12, 2019|work=GitLab}}</ref>
* April 14: the B3/S23/C1 census reaches a total of 400 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-04-14|title=Census|accessdate=April 14, 2019}}</ref><ref name="message566975532382552064" />
* May 1: the [[glider synthesis]] submission box is added, allowing users to submit syntheses which are automatically parsed during the Catagolue update process.<ref name="message573177771186978822" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/e7f249b12652f0f5796bc48c0ee0f0c49f5c0ee3|title=RLE post box|author=Adam P. Goucher|date=May 1, 2019|work=GitLab}}</ref>
* May 12: a GPU-powered apgsearch instance finds a natural [[sidecar]] in an asymmetric 16×16 soup.<ref name="post76084" />
* September 9: the 17-in-17 [[glider synthesis]] project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post82560" />
* October 9: the 18-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post83979" />
* December 18: the B3/S23/C1 census reaches a total of 500 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-12-18|title=Census|accessdate=December 18, 2019}}</ref>
* December 27: [https://catagolue.hatsya.com/census/b2c3aei4ajnr5acns2-ci3-ck4in5jkq6c7c/C1 X3VI] becomes the first [[isotropic non-totalistic]] rule to officially reach 1 trillion objects.<ref name="message660263777786265619" />

== 2020 ==
* February 8: the 19-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post89061" />
* February 9: [[Rob's p16]] appears in the B3/S23/G1 census, marking Catagolue's first discovery of a new oscillator [[rotor]] from asymmetric soup as well as the first period 16 oscillator arising from asymmetry.<ref>{{CiteCatagolue|page=haul/b3s23/G1/477c29ce65dab871f2889810e344bece|title=Haul|accessdate=February 10, 2020}}</ref><ref name="post89261" />
* February 11: the B3/S23/C1 census reaches a total of 600 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-02-11|title=Census|accessdate=February 11, 2020}}</ref>
* April 1: a natural [[loafer]] emerges from a soup in the B3/S23/C1 census submitted by John Goodman.<ref name="post93011" />
* April 2: the B3/S23/C1 census reaches a total of 700 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-04-02|title=Census|accessdate=April 2, 2020}}</ref><ref name="message695270579305054259" />
* April 8: the [https://catagolue.hatsya.com/census/b3s23/asymmetric-soups <tt>asymmetric-soups</tt>] census is created, combining the results from B3/S23/C1 and B3/S23/G1.<ref name="post93707" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/fcf65f9ed0b3703535c5c679c70f4456f3434c62|title=Combine C1 and G1 censuses each day|author=Adam P. Goucher|date=April 8, 2020|work=GitLab}}</ref>
* May 4: B3/S23/G1 overtakes B3/S23/C1 in terms of the number of soups investigated.<ref name="message706964359548764201" />
* June 16: the B3/S23/C1 census reaches a total of 800 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-06-16|title=Census|accessdate=June 16, 2020}}</ref>
* November 14: the B3/S23/C1 census reaches a total of 900 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-11-14|title=Census|accessdate=November 14, 2020}}</ref>
* December 20 or earlier: Catagolue becomes capable of censusing isotropic non-totalistic rules with B0, as well as isotropic non-totalistic rules run on the exploded Moore neighbourhoods FC2E1 and FC1E3 and the range-2 von Neumann neighbourhood.

== 2021 ==
* January 25: the B3/S23/C1 census reaches a total of one quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2021-01-25|title=Census|accessdate=January 25, 2021}}</ref><ref name="post120338" />
* March 12: the 20-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post125261" />
* June 17: Catagolue starts collecting data about the smallest known [[glider gun]]s (by bounding box) of a given period, in the [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/gun <tt>gun</tt>] tabulation of <tt>synthesis-costs</tt>.<ref name="message855191956900937748" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68648f65528707211b4611744f3d23efe6f04863|title=Initial attempt at support for glider guns|author=Adam P. Goucher|date=June 17, 2021|work=GitLab}}</ref> The next day, a second [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/guntrue <tt>guntrue</tt>] tabulation was added, listing only the smallest [[true period]] guns.<ref name="message855435983386312734" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/0f9a93b8406ff10da4d9bd67c0d1c0b1e5bcab8d|title=True-period gun collection|author=Adam P. Goucher|date=June 18, 2021|work=GitLab}}</ref>
* August 4: An [[RLE]]-to-[[apgcode]] box is added to the [https://catagolue.hatsya.com/object <tt>/object</tt>] page.<ref name="post134471" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/9429184f6a6aba9c0463cdf15c86ab9dadfbdf05|title=Identify pattern box|author=Adam P. Goucher|date=August 4, 2021|work=GitLab}}</ref>
* August 24: Catagolue's census tabulation system is upgraded, allowing for individual tabulations to reach an uncompressed size of 32 MB.<ref name="post135260" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/02f616c8cfbd7141ac25349341b19d772d727bc1|title=Preliminary support for large tabulations|author=Adam P. Goucher|date=August 24, 2021|work=GitLab}}</ref>
* October 19: Catagolue begins recognizing patterns with <tt>xg</tt> prefixes as [[glider gun]]s,<ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/2980dd550873aaa43015a7f95516aedca678e9f8|title=Glider guns should be identified as such on object pages|author=Adam P. Goucher|date=October 19, 2021|work=GitLab}}</ref> following the introduction of <tt>xg</tt> in [[lifelib]].<ref>{{cite web|url=https://gitlab.com/apgoucher/lifelib/-/commit/25dfa66d9bacde3c81daa6bd7e9da8c01ff24fc7|title=Introduce xg apgcodes for glider guns|author=Adam P. Goucher|date=October 12, 2021|work=GitLab}}</ref> Support for <tt>xg</tt> in the RLE-to-apgcode box has yet to be added.<ref name="message901879261642780695" />

== 2022 ==
* January 6: apgsearch is set up as a volunteer computing project on [[Charity Engine]], vastly increasing the search rate to several trillion soups per day.<ref name="message928819605491822623" />
* January 18: the B3/S23/C1 census reaches a total of 1.5 quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2022-01-18|title=Census|accessdate=January 18, 2022}}</ref>
* February 11: Charity Engine discovers [[32P21]], then the smallest known {{period|21}} [[oscillator]].<ref name="post141492" />
* February 12: Charity Engine discovers a symmetric soup containing a [[bi-gun]], the second unique gun to have occurred [[semi-naturally]].<ref name="post141568" />
* February 15: Charity Engine discovers a new [[period-30 glider gun]],<ref name="post141655" /> which can be monomerized to only contain a single [[queen bee]].<ref name="post141656" />
* April 13: the B3/S23/C1 census reaches a total of 2 quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2022-04-13|title=Census|accessdate=April 13, 2022}}</ref>
* May 18: Charity Engine discovers [[30P25]], then the smallest known {{period|25}} [[oscillator]].<ref name="post145728" />
* August 9: The [[Open Science Grid]] begins contributing GPU resources to Catagolue.<ref name="message1006555475921342546" />
* August 13: The [https://catagolue.hatsya.com/census/b3s23/all-soups <tt>all-soups</tt>] census is created, combining the results from all CPU and GPU symmetries in B3/S23 six times every month.<ref name="message1007976057615421481" />
* October 7: the B3/S23/C1 census reaches a total of 3 quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2022-10-07|title=Census|accessdate=October 7, 2022}}</ref>

== 2023 ==
* February 21: the B3/S23/C1 census reaches a total of 4 quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2023-02-21|title=Census|accessdate=February 21, 2023}}</ref>

==References==
<references>
<ref name="post17038">{{LinkForumThread
|format = ref
|title = apgsearch v1.0
|p = 17038
|author = Adam P. Goucher
|date = February 20, 2015
}}</ref>
<ref name="post18988">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 18988
|author = Billabob
|date = April 24, 2015
}}</ref>
<ref name="post22956">{{LinkForumThread
|format = ref
|title = Catagolue backups
|p = 22956
|author = Adam P. Goucher
|date = September 24, 2015
}}</ref>
<ref name="ponyexpress1">{{cite web
|url = https://conwaylife.com/forums/viewtopic.php?f=7&t=1784&p=23022#p23022
|title = Re: apgsearch v2.2
|date = 2015-09-27
|author = Apple Bottom
|work = ConwayLife.com forums
|accessdate = 2016-06-30
}}</ref>
<ref name="ponyexpress2">{{cite web
|url = https://conwaylife.com/forums/viewtopic.php?f=7&t=1784&p=23054#p23054
|title = Re: apgsearch v2.2
|date = 2015-09-28
|author = Adam P. Goucher
|work = ConwayLife.com forums
|accessdate = 2016-06-30
}}</ref>
<ref name="catagolue20151005">{{cite web
|url = https://catagolue.hatsya.com/census/b3s23/C1-2015-10-05/
|title = Census (2015-10-05 backup)
|date = 2015-10-05
|author = Adam P. Goucher
|work = Catagolue
|accessdate = 2016-06-29
}}</ref>
<ref name="post27013">{{LinkForumThread
|format = ref
|title = Re: Hacking apgsearch
|p = 27013
|author = praosylen
|date = January 25, 2016
}}</ref>
<ref name="post32766">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 32766
|author = Ivan Fomichev
|date = July 5, 2016
}}</ref>
<ref name="post34242">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 34242
|author = Apple Bottom
|date = August 12, 2016
}}</ref>
<ref name="post34623">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 34623
|author = Apple Bottom
|date = August 22, 2016
}}</ref>
<ref name="post49184">{{LinkForumThread
|format = ref
|title = 345/3/8
|p = 49184
|author = Adam P. Goucher
|date = August 18, 2017
}}</ref>
<ref name="post49541">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 49541
|author = Adam P. Goucher
|date = August 21, 2017
}}</ref>
<ref name="post50771">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.2
|p = 50771
|author = Adam P. Goucher
|date = September 10, 2017
}}</ref>
<ref name="post60663">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 60663
|author = Adam P. Goucher
|date = June 3, 2018
}}</ref>
<ref name="post65133">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65133
|author = Adam P. Goucher
|date = 2018-10-28
}}</ref>
<ref name="post65313">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65313
|author = Apple Bottom
|date = 2018-11-03
}}</ref>
<ref name="post65439">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65439
|author = Adam P. Goucher
|date = 2018-11-07
}}</ref>
<ref name="post66090">{{LinkForumThread
|format = ref
|title = Re: Non-totalistic hex rules
|p = 66090
|author = Adam P. Goucher
|date = December 1, 2018
}}</ref>
<ref name="post66402">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66402
|author = Ian07
|date = December 11, 2018
}}</ref>
<ref name="post66627">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66627
|author = Adam P. Goucher
|date = December 19, 2018
}}</ref>
<ref name="post66638">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66638
|author = Adam P. Goucher
|date = December 20, 2018
}}</ref>
<ref name="post66400">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 66400
|author = Billabob
|date = December 11, 2018
}}</ref>
<ref name="post66417">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 66417
|author = Adam P. Goucher
|date = December 12, 2018
}}</ref>
<ref name="post70479">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 70479
|author = Adam P. Goucher
|date = February 12, 2019
}}</ref>
<ref name="post72438">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 72438
|author = Darren Li
|date = March 3, 2019
}}</ref>
<ref name="post73826">{{LinkForumThread
|format = ref
|title = Re: apgsearch v5.0
|p = 73826
|author = Adam P. Goucher
|date = March 24, 2019
}}</ref>
<ref name="post74007">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 74007
|author = alphazelf
|date = March 27, 2019
}}</ref>
<ref name="message561987442719064076">{{CiteDiscord
|author = Ian07
|date = March 31, 2019
|channel = general-discussion
|id = 561987442719064076
}}</ref>
<ref name="message566317445766316042">{{CiteDiscord
|author = Adam P. Goucher
|date = April 12, 2019
|channel = tools
|id = 566317445766316042
}}</ref>
<ref name="message566975532382552064">{{CiteDiscord
|author = alphazelf
|date = April 14, 2019
|channel = cgol
|id = 566975532382552064
}}</ref>
<ref name="message573177771186978822">{{CiteDiscord
|author = Adam P. Goucher
|date = May 1, 2019
|channel = cgol
|id = 573177771186978822
}}</ref>
<ref name="post76084">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 76084
|author = Ian07
|date = May 12, 2019
}}</ref>
<ref name="post82560">{{LinkForumThread
|format = ref
|title = Re: 17 in 17: Efficient 17-bit synthesis project
|p = 82560
|author = Tanner Jacobi
|date = September 9, 2019
}}</ref>
<ref name="post83979">{{LinkForumThread
|format = ref
|title = Re: 18-bit SL Syntheses (100% Complete!)
|p = 83979
|author = Ian07
|date = October 9, 2019
}}</ref>
<ref name="message660263777786265619">{{CiteDiscord
|author = 77topaz
|date = December 27, 2019
|channel = naturalistic
|id = 660263777786265619
}}</ref>
<ref name="post89061">{{LinkForumThread
|format = ref
|title = Re: 19-bit still life syntheses
|p = 89061
|author = Martin Grant
|date = February 8, 2020
}}</ref>
<ref name="post89261">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 89261
|author = Tanner Jacobi
|date = February 10, 2020
}}</ref>
<ref name="post93011">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 93011
|author = Billabob
|date = April 1, 2020
}}</ref>
<ref name="message695270579305054259">{{CiteDiscord
|author = Darren Li
|date = April 2, 2020
|channel = general-discussion
|id = 695270579305054259
}}</ref>
<ref name="post93707">{{LinkForumThread
|format = ref
|title = Re: Catagolue Suggestions Thread
|p = 93707
|author = Adam P. Goucher
|date = April 8, 2020
}}</ref>
<ref name="message706964359548764201">{{CiteDiscord
|author = Adam P. Goucher
|date = May 4, 2020
|channel = general-discussion
|id = 706964359548764201
}}</ref>
<ref name="post120338">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 120338
|author = LaundryPizza03
|date = January 25, 2021
}}</ref>
<ref name="message855191956900937748">{{CiteDiscord
|author = Adam P. Goucher
|date = June 17, 2021
|channel = cgol
|id = 855191956900937748
}}</ref>
<ref name="message855435983386312734">{{CiteDiscord
|author = Adam P. Goucher
|date = June 18, 2021
|channel = cgol
|id = 855435983386312734
}}</ref>
<ref name="post134471">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 134471
|author = Adam P. Goucher
|date = August 4, 2021
}}</ref>
<ref name="post135260">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 135260
|author = Adam P. Goucher
|date = August 24, 2021
}}</ref>
<ref name="post125261">{{LinkForumThread
|format = ref
|title = Re: 20-bit still life syntheses
|p = 125261
|author = Alex Greason
|date = March 12, 2021
}}</ref>
<ref name="message901879261642780695">{{CiteDiscord
|author = Adam P. Goucher
|date = October 24, 2021
|channel = cgol
|id = 901879261642780695
}}</ref>
<ref name="message928819605491822623">{{CiteDiscord
|author = Darren Li
|date = January 6, 2022
|channel = tools
|id = 928819605491822623
}}</ref>
<ref name="post141492">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 141492
|author = David Raucci
|date = February 11, 2022
}}</ref>
<ref name="post141568">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 141568
|author = dani
|date = February 12, 2022
}}</ref>
<ref name="post141655">{{LinkForumThread
|format = ref
|p = 141655
|title = Re: Soup search results
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post141656">{{LinkForumThread
|format = ref
|p = 141656
|title = Re: Gun Discussion Thread
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post145728">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 145728
|author = cvojan
|date = May 18, 2022
}}</ref>
<ref name="message1006555475921342546">{{CiteDiscord
|author = Darren Li
|date = August 9, 2022
|channel = general-discussion
|id = 1006555475921342546
}}</ref>
<ref name="message1007976057615421481">{{CiteDiscord
|author = Adam P. Goucher
|date = August 13, 2022
|channel = general-discussion
|id = 1007976057615421481}}</ref>
</references>

{{CatagolueNavbox}}

[[Category:Censuses|Catagolue, History of]]

Sprayer

2023-02-01T18:12:11Z

Calcyman: Include knightship honorific that tends to be used occasionally

{{Spaceship
|name = Sprayer
|pname = sprayer
|c = 608
|bx = 80
|by = 178
|dir = Oblique
|slope = 2
|p = 6
|m = 6
|s = (2,1)c/6
|z = (2,1)c/6
|h = 567
|discoverer = Adam P. Goucher
|discoverer2 = Dylan Chen
|discoveryear = 2021
|rulemin = B3/S23
|rulemax = B38/S23
|isorulemin = B3/S23
|isorulemax = B38/S236i
|rulespecial = [[Conway's Game of Life|Conway Life]]
|rle = true
|apgcode = xq6_y7nh8ackkkgr6zxgo48o8dg4pg0gw1063zc2rq262265lkkgv1gzy22502202x1288zy8o82f9fm1zy923w4660asgzya8s6kgiar85cozyafg1jse62ou3ozya1130oojdfczydope2s0agzya8ss116ed0hzyc10txorw444ozyhehgjo4gm1gggzyloo80102tfszyj4er8so0gft5zyj4qwinorah433zyo1qg444ccbzyp11xj214c0ogzywbng88kgzyv32a1cfgczyvo2r9t1gczyu340bg5iq084o8zyxs21rdk60hi1zyzw41nkb5zyw8cm8112010a4zyy1761jaggogzyzy21201sk0c8gzyzy6d140198o0e8zyzyb1136ccczyzyg3hb1u4okiczyzyig7087zyzyh33106mggzyzyl548eojrssgk2a24zyzywggj6sozyzyvcm9661zyzyy22
|viewerconfig = #C [[ TRACKLOOP 6 -1/6 -1/3 THUMBSIZE 2 HEIGHT 480 ZOOM 2 GPS 12 ]]
}}
The '''sprayer'''{{refn|group=note|referring to its powerful heavyweight spark at the frontend}} (or '''Sir Sprayer''') is a [[(2,1)c/6]] [[spaceship]] found by [[Adam P. Goucher]] on May 9, {{year|2021}} using his [[ikpx2]] search program.<ref name="post129937" /> It is a completion of a front end found by [[Dylan Chen]] in January 2021 initially using [[LSSS]] and extended using [[ikpx2]].<ref name="post119988" /><ref name="message803948505181454397" />

==Tagalongs==
The sprayer's namesake heavyweight spark can be used to support another sprayer with its back third cut off, a wandering minstrel (which can pull a connecting minstrel),<ref name="post129918" /> or a pi minstrel.<ref name="post129999" /> The sprayer's back sparks can be used to pull a traffic light while making it leave blocks, resulting in a period-12 puffer.<ref name="message841115013481627709" /> A dot spark from an adjacent heavyweight<ref name="message841117178475577365" /> or lightweight<ref name="message841120335234596924" /> minstrel (supported by a [[Sir Robin]]) can turn the block predecessors into gliders, resulting in a [[backrake]].

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

==References==
<references>
<ref name="post129937">{{LinkForumThread
|format = ref
|title = Re: Four new almost-knightships CGOL
|p = 129937
|author = Adam P. Goucher
|date = May 9, 2021}}</ref>
<ref name="post119988">{{LinkForumThread
|format = ref
|title = Re: Four new almost-knightships CGOL
|p = 119988
|author = Dylan Chen
|date = January 22, 2021}}</ref>
<ref name="message803948505181454397">{{CiteDiscord
|format = ref
|title = Re: Four new almost-knightships CGOL
|channel = bots-and-mute-this
|id = 803948505181454397
|author = Dylan Chen
|date = January 27, 2021}}</ref>
<ref name="post129918">{{LinkForumThread
|format = ref
|title = Re: Four new almost-knightships CGOL
|p = 129918
|author = May13
|date = May 9, 2021}}</ref>
<ref name="message841115013481627709">{{CiteDiscord
|format = ref
|channel = cgol
|id = 841115013481627709
|author = Adam P. Goucher
|date = May 9, 2021}}</ref>
<ref name="message841117178475577365">{{CiteDiscord
|format = ref
|channel = cgol
|id = 841117178475577365
|author = Adam P. Goucher
|date = May 9, 2021}}</ref>
<ref name="message841120335234596924">{{CiteDiscord
|format = ref
|channel = cgol
|id = 841120335234596924
|author = MathAndCode
|date = May 9, 2021}}</ref>
<ref name="post129999">{{LinkForumThread
|format = ref
|title = Re: (2,1)c/6 technology thread
|p = 129999
|author = iNoMed
|date = May 10, 2021}}</ref>
</references>

==External links==
{{LinkCatagolue|xq6_y7nh8ackkkgr6zxgo48o8dg4pg0gw1063zc2rq262265lkkgv1gzy22502202x1288zy8o82f9fm1zy923w4660asgzya8s6kgiar85cozyafg1jse62ou3ozya1130oojdfczydope2s0agzya8ss116ed0hzyc10txorw444ozyhehgjo4gm1gggzyloo80102tfszyj4er8so0gft5zyj4qwinorah433zyo1qg444ccbzyp11xj214c0ogzywbng88kgzyv32a1cfgczyvo2r9t1gczyu340bg5iq084o8zyxs21rdk60hi1zyzw41nkb5zyw8cm8112010a4zyy1761jaggogzyzy21201sk0c8gzyzy6d140198o0e8zyzyb1136ccczyzyg3hb1u4okiczyzyig7087zyzyh33106mggzyzyl548eojrssgk2a24zyzywggj6sozyzyvcm9661zyzyy22}}

__NOTOC__

Small c/3 orthogonal spaceships

2022-12-09T23:33:38Z

Calcyman: /* 32 to 50 cells */

== 5 to 31 cells ==
{{main|List of spaceships with 5 to 31 cells}}

{| class="wikitable" style="margin-left:auto; margin-right:auto; clear:both; text-align:center"
! colspan="2" | Spaceship
! [[Population]]
! [[apgcode]]
! [[Glider synthesis|Cost in gliders]]&dagger;
|-
! [[File:25p3h1v0.1.png|64px]]
! [[25P3H1V0.1]]
| 25
| {{LinkCatagolue|xq3_16614e8o4aa82cc2|style=raw}}
| 19
|-
! [[File:25p3h1v0.2.png|64px]]
! [[25P3H1V0.2]]
| 25
| {{LinkCatagolue|xq3_km92z1d9czxor33zy11|style=raw}}
| 24
|-
! [[File:Edgerepairspaceship1.png|64px]]
! [[Edge-repair spaceship 1]]
| 26
| {{LinkCatagolue|xq3_061ugzw1cdcz33roz01|style=raw}}
| 17
|-
! [[File:29p3h1v0.png|64px]]
! [[29P3H1V0]]
| 29
| {{LinkCatagolue|xq3_2554ca0sszy6750ec2c52|style=raw}}
| style="background-color:#ffffdd" | 35
|-
! [[File:30p3h1v0.png|64px]]
! [[30P3H1V0]]
| 30
| {{LinkCatagolue|xq3_0gu16zcdc1zx3rj8zy1786|style=raw}}
| 24
|}

== 32 to 50 cells ==
{| class="wikitable" style="margin-left:auto; margin-right:auto; clear:both; text-align:center"
! colspan="2" | Spaceship
! [[Population]]
! [[apgcode]]
! [[Glider synthesis|Cost in gliders]]&dagger;
|-
! [[File:Dart.png|64px]]
! [[Dart]]
| 34
| {{LinkCatagolue|xq3_mhqkzarahh0heezdhb5|style=raw}}
| 25
|-
! [[File:35p3h1v0.png|64px]]
! [[35P3H1V0]]
| 35
| {{LinkCatagolue|xq3_2cc0770og0sszy311y0750ec2c52|style=raw}}
| 35
|-
! [[File:xq3_x61ugzy01cdczw3jroz66mgz0211.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_x61ugzy01cdczw3jroz66mgz0211|style=raw}}
| 28
|-
! [[File:xq3_g2lexc2sz123e2sw29rozy22221.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_g2lexc2sz123e2sw29rozy22221|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_2554ca0sszy51650ea5c04552.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_2554ca0sszy51650ea5c04552|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_29mkz491tz2cbz1w96sgzxcge.png|64px]]
! unnamed
| 37
| {{LinkCatagolue|xq3_29mkz491tz2cbz1w96sgzxcge|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_096mzg01hf4z86qz4ignz8id5.png|64px]]
! unnamed
| 38
| {{LinkCatagolue|xq3_096mzg01hf4z86qz4ignz8id5|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0km92z01d9czy0orj3zgmi6z5di8.png|64px]]
! unnamed
| 38
| {{LinkCatagolue|xq3_0km92z01d9czy0orj3zgmi6z5di8|style=raw}}
| style="background-color:#ffffdd" | 49
|-
! [[File:xq3_km92z1d9czy03rpozw6m6gzx1fgc.png|64px]]
! unnamed
| 39
| {{LinkCatagolue|xq3_km92z1d9czy03rpozw6m6gzx1fgc|style=raw}}
| style="background-color:#ffffdd" | 42
|-
! [[File:xq3_km92z1d9czxorj3zy26m6gzy31fgc.png|64px]]
! unnamed
| 39
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy26m6gzy31fgc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0gu16zcdc1zworj3zy16m6gzy21fgc.png|64px]]
! unnamed
| 40
| {{LinkCatagolue|xq3_0gu16zcdc1zworj3zy16m6gzy21fgc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y129mkz48ewc9d1zatl1f4z4orz1.png|64px]]
! unnamed
| 40
| {{LinkCatagolue|xq3_y129mkz48ewc9d1zatl1f4z4orz1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_g2lez123e2szw2cbzw10ghu4zxicd.png|64px]]
! unnamed
| 41
| {{LinkCatagolue|xq3_g2lez123e2szw2cbzw10ghu4zxicd|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0gu160e01qczclchy1dciz1t0ozw1.png|64px]]
! [[25P3H1V0.1]]{{br}}with tagalong
| 41
| {{LinkCatagolue|xq3_0gu160e01qczclchy1dciz1t0ozw1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_gou1512a46k8zwtg3i4zx2a3zwk9p.png|64px]]
! unnamed
| 41
| {{LinkCatagolue|xq3_gou1512a46k8zwtg3i4zx2a3zwk9p|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0keh2zehsgzcm103z4la2j5z0ro5zx1.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_0keh2zehsgzcm103z4la2j5z0ro5zx1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_p03sscczw4oull43102sszy181c3201.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_p03sscczw4oull43102sszy181c3201|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:Turtle.png|64px]]
! [[Turtle]]
| 44
| {{LinkCatagolue|xq3_3u0228mc53bgzof0882d6koq1|style=raw}}
| style="background-color:#ffffdd" | 225
|-
! [[File:xq3_323ecg0sc8zo4s73wmd9564z04a7w687.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_323ecg0sc8zo4s73wmd9564z04a7w687|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0cccs309z335ea04013ghhczy0785069.png|64px]]
! unnamed
| 45
| {{LinkCatagolue|xq3_0cccs309z335ea04013ghhczy0785069|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czxorj3zy1gm66zy1111ccczy3334.png|64px]]
! unnamed
| 45
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy1gm66zy1111ccczy3334|style=raw}}
| style="background-color:#ffffdd" | 46
|-
! [[File:xq3_0gu16zcdc1zworj3zy0gm66zy0111ccczy2334.png|64px]]
! unnamed
| 46
| {{LinkCatagolue|xq3_0gu16zcdc1zworj3zy0gm66zy0111ccczy2334|style=raw}}
| 39
|-
! [[File:Wasp.png|64px]]
! [[Wasp]]
| 47
| {{LinkCatagolue|xq3_0keh2ze1k8z7th322az01hs5logzx1221|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y4r3v488zckkq77016eo8oz01mgrjgzw1111.png|64px]]
! unnamed
| 47
| {{LinkCatagolue|xq3_y4r3v488zckkq77016eo8oz01mgrjgzw1111|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0keh2y088zehkggk691wdcczx13y4or33zyb1.png|64px]]
! unnamed
| 47
| {{LinkCatagolue|xq3_0keh2y088zehkggk691wdcczx13y4or33zyb1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y661ezy18a440ic71zwg59ldd3zc2tz966.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_y661ezy18a440ic71zwg59ldd3zc2tz966|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92zt194z034eogozxo4kccz0gs581zwegc.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_km92zt194z034eogozxo4kccz0gs581zwegc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_4a34370ae0gg0ooy3sk0e686k8zy633w10ee037.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_4a34370ae0gg0ooy3sk0e686k8zy633w10ee037|style=raw}}
| style="background-color:#ffffdd" | 60
|-
! [[File:xq3_0ji5z0oa8wggxkqz49o1rsuq0p880661.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_0ji5z0oa8wggxkqz49o1rsuq0p880661|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czxorj3zy1gm66zy1111ccczy53u1ozy71.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy1gm66zy1111ccczy53u1ozy71|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czy03rpozw6migzccc111z03u1ozx1.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_km92z1d9czy03rpozw6migzccc111z03u1ozx1|style=raw}}
| style="background-color:#ffffdd" | 53
|-
! [[File:xq3_0gou1512a46k8zxhs3a4zc2i0n0bazwa8z0153.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_0gou1512a46k8zxhs3a4zc2i0n0bazwa8z0153|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_kqy2ss0ac4552zwhb033gw8gg8zx3278991011.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_kqy2ss0ac4552zwhb033gw8gg8zx3278991011|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_we16z017k2gzx34566z0o4e313z78eo8gzwel81.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_we16z017k2gzx34566z0o4e313z78eo8gzwel81|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_061ez0ik7hgzwcgt7z86mz0h9n4z05orz01.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_061ez0ik7hgzwcgt7z86mz0h9n4z05orz01|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y4gu16zy3cdc1zy03rpozw6migzccc111z03u1ozx1.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_y4gu16zy3cdc1zy03rpozw6migzccc111z03u1ozx1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_05ijzwoa8z049o1nzwgkgf31z78go0ko8aa4zw11.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_05ijzwoa8z049o1nzwgkgf31z78go0ko8aa4zw11|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|}
&dagger; yellow→ cost > population

[[Category:Lists of patterns]]

__NOTOC__

35P3H1V0

2022-12-09T13:49:09Z

Calcyman:

{{Spaceship
|name = 35P3H1V0
|pname = 35p3h1v0
|c = 35
|bx = 22
|by = 10
|dir = Orthogonal
|p = 3
|m = 3
|s = c/3
|z = c/3
|h = 31.3
|rulemin = B3/S23
|rulemax = B378/S23678
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3-e/S2-n3-cry
|isorulemax = B2n34ceqw5jkq6-k78/S234cewy5-ij678
|plaintext = true
|rle = true
|viewerconfig = #C [[ ZOOM 24 TRACKLOOP 3 0 -1/3 THUMBSIZE 2 GPS 2 HEIGHT 400 ]]
|apgcode = xq3_2cc0770og0sszy311y0750ec2c52
}}
'''35P3H1V0''' is a small [[c/3 orthogonal]] [[spaceship]], and is the second member of a series of spaceships beginning with [[25P3H1V0.2]] which stabilise a c/3 orthogonal [[wave]].

This spaceship is the seventh-smallest known c/3 orthogonal spaceship and [[Goldtiger997]] discovered a [[glider synthesis]] in December 2022.

== External links ==
{{LinkCatagolue|xq3_2cc0770og0sszy311y0750ec2c52}}

[[Category:Unnamed periodic objects]]

__NOTOC__

Small c/3 orthogonal spaceships

2022-12-09T13:48:16Z

Calcyman: /* 32 to 50 cells */

== 5 to 31 cells ==
{{main|List of spaceships with 5 to 31 cells}}

{| class="wikitable" style="margin-left:auto; margin-right:auto; clear:both; text-align:center"
! colspan="2" | Spaceship
! [[Population]]
! [[apgcode]]
! [[Glider synthesis|Cost in gliders]]&dagger;
|-
! [[File:25p3h1v0.1.png|64px]]
! [[25P3H1V0.1]]
| 25
| {{LinkCatagolue|xq3_16614e8o4aa82cc2|style=raw}}
| 19
|-
! [[File:25p3h1v0.2.png|64px]]
! [[25P3H1V0.2]]
| 25
| {{LinkCatagolue|xq3_km92z1d9czxor33zy11|style=raw}}
| 24
|-
! [[File:Edgerepairspaceship1.png|64px]]
! [[Edge-repair spaceship 1]]
| 26
| {{LinkCatagolue|xq3_061ugzw1cdcz33roz01|style=raw}}
| 17
|-
! [[File:29p3h1v0.png|64px]]
! [[29P3H1V0]]
| 29
| {{LinkCatagolue|xq3_2554ca0sszy6750ec2c52|style=raw}}
| style="background-color:#ffffdd" | 35
|-
! [[File:30p3h1v0.png|64px]]
! [[30P3H1V0]]
| 30
| {{LinkCatagolue|xq3_0gu16zcdc1zx3rj8zy1786|style=raw}}
| 24
|}

== 32 to 50 cells ==
{| class="wikitable" style="margin-left:auto; margin-right:auto; clear:both; text-align:center"
! colspan="2" | Spaceship
! [[Population]]
! [[apgcode]]
! [[Glider synthesis|Cost in gliders]]&dagger;
|-
! [[File:Dart.png|64px]]
! [[Dart]]
| 34
| {{LinkCatagolue|xq3_mhqkzarahh0heezdhb5|style=raw}}
| 25
|-
! [[File:35p3h1v0.png|64px]]
! [[35P3H1V0]]
| 35
| {{LinkCatagolue|xq3_2cc0770og0sszy311y0750ec2c52|style=raw}}
| 35
|-
! [[File:xq3_x61ugzy01cdczw3jroz66mgz0211.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_x61ugzy01cdczw3jroz66mgz0211|style=raw}}
| 28
|-
! [[File:xq3_g2lexc2sz123e2sw29rozy22221.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_g2lexc2sz123e2sw29rozy22221|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_2554ca0sszy51650ea5c04552.png|64px]]
! unnamed
| 36
| {{LinkCatagolue|xq3_2554ca0sszy51650ea5c04552|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_29mkz491tz2cbz1w96sgzxcge.png|64px]]
! unnamed
| 37
| {{LinkCatagolue|xq3_29mkz491tz2cbz1w96sgzxcge|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_096mzg01hf4z86qz4ignz8id5.png|64px]]
! unnamed
| 38
| {{LinkCatagolue|xq3_096mzg01hf4z86qz4ignz8id5|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0km92z01d9czy0orj3zgmi6z5di8.png|64px]]
! unnamed
| 38
| {{LinkCatagolue|xq3_0km92z01d9czy0orj3zgmi6z5di8|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czy03rpozw6m6gzx1fgc.png|64px]]
! unnamed
| 39
| {{LinkCatagolue|xq3_km92z1d9czy03rpozw6m6gzx1fgc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czxorj3zy26m6gzy31fgc.png|64px]]
! unnamed
| 39
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy26m6gzy31fgc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0gu16zcdc1zworj3zy16m6gzy21fgc.png|64px]]
! unnamed
| 40
| {{LinkCatagolue|xq3_0gu16zcdc1zworj3zy16m6gzy21fgc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y129mkz48ewc9d1zatl1f4z4orz1.png|64px]]
! unnamed
| 40
| {{LinkCatagolue|xq3_y129mkz48ewc9d1zatl1f4z4orz1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_g2lez123e2szw2cbzw10ghu4zxicd.png|64px]]
! unnamed
| 41
| {{LinkCatagolue|xq3_g2lez123e2szw2cbzw10ghu4zxicd|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0gu160e01qczclchy1dciz1t0ozw1.png|64px]]
! [[25P3H1V0.1]]{{br}}with tagalong
| 41
| {{LinkCatagolue|xq3_0gu160e01qczclchy1dciz1t0ozw1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_gou1512a46k8zwtg3i4zx2a3zwk9p.png|64px]]
! unnamed
| 41
| {{LinkCatagolue|xq3_gou1512a46k8zwtg3i4zx2a3zwk9p|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0keh2zehsgzcm103z4la2j5z0ro5zx1.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_0keh2zehsgzcm103z4la2j5z0ro5zx1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_p03sscczw4oull43102sszy181c3201.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_p03sscczw4oull43102sszy181c3201|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:Turtle.png|64px]]
! [[Turtle]]
| 44
| {{LinkCatagolue|xq3_3u0228mc53bgzof0882d6koq1|style=raw}}
| style="background-color:#ffffdd" | 225
|-
! [[File:xq3_323ecg0sc8zo4s73wmd9564z04a7w687.png|64px]]
! unnamed
| 44
| {{LinkCatagolue|xq3_323ecg0sc8zo4s73wmd9564z04a7w687|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0cccs309z335ea04013ghhczy0785069.png|64px]]
! unnamed
| 45
| {{LinkCatagolue|xq3_0cccs309z335ea04013ghhczy0785069|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czxorj3zy1gm66zy1111ccczy3334.png|64px]]
! unnamed
| 45
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy1gm66zy1111ccczy3334|style=raw}}
| style="background-color:#ffffdd" | 46
|-
! [[File:xq3_0gu16zcdc1zworj3zy0gm66zy0111ccczy2334.png|64px]]
! unnamed
| 46
| {{LinkCatagolue|xq3_0gu16zcdc1zworj3zy0gm66zy0111ccczy2334|style=raw}}
| 39
|-
! [[File:Wasp.png|64px]]
! [[Wasp]]
| 47
| {{LinkCatagolue|xq3_0keh2ze1k8z7th322az01hs5logzx1221|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y4r3v488zckkq77016eo8oz01mgrjgzw1111.png|64px]]
! unnamed
| 47
| {{LinkCatagolue|xq3_y4r3v488zckkq77016eo8oz01mgrjgzw1111|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0keh2y088zehkggk691wdcczx13y4or33zyb1.png|64px]]
! unnamed
| 47
| {{LinkCatagolue|xq3_0keh2y088zehkggk691wdcczx13y4or33zyb1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y661ezy18a440ic71zwg59ldd3zc2tz966.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_y661ezy18a440ic71zwg59ldd3zc2tz966|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92zt194z034eogozxo4kccz0gs581zwegc.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_km92zt194z034eogozxo4kccz0gs581zwegc|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_4a34370ae0gg0ooy3sk0e686k8zy633w10ee037.png|64px]]
! unnamed
| 48
| {{LinkCatagolue|xq3_4a34370ae0gg0ooy3sk0e686k8zy633w10ee037|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0ji5z0oa8wggxkqz49o1rsuq0p880661.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_0ji5z0oa8wggxkqz49o1rsuq0p880661|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czxorj3zy1gm66zy1111ccczy53u1ozy71.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_km92z1d9czxorj3zy1gm66zy1111ccczy53u1ozy71|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_km92z1d9czy03rpozw6migzccc111z03u1ozx1.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_km92z1d9czy03rpozw6migzccc111z03u1ozx1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_0gou1512a46k8zxhs3a4zc2i0n0bazwa8z0153.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_0gou1512a46k8zxhs3a4zc2i0n0bazwa8z0153|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_kqy2ss0ac4552zwhb033gw8gg8zx3278991011.png|64px]]
! unnamed
| 49
| {{LinkCatagolue|xq3_kqy2ss0ac4552zwhb033gw8gg8zx3278991011|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_we16z017k2gzx34566z0o4e313z78eo8gzwel81.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_we16z017k2gzx34566z0o4e313z78eo8gzwel81|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_061ez0ik7hgzwcgt7z86mz0h9n4z05orz01.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_061ez0ik7hgzwcgt7z86mz0h9n4z05orz01|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_y4gu16zy3cdc1zy03rpozw6migzccc111z03u1ozx1.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_y4gu16zy3cdc1zy03rpozw6migzccc111z03u1ozx1|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|-
! [[File:xq3_05ijzwoa8z049o1nzwgkgf31z78go0ko8aa4zw11.png|64px]]
! unnamed
| 50
| {{LinkCatagolue|xq3_05ijzwoa8z049o1nzwgkgf31z78go0ko8aa4zw11|style=raw}}
| style="background-color:#ffc7ce" | '''No synthesis known'''
|}
&dagger; yellow→ cost > population

[[Category:Lists of patterns]]

__NOTOC__

Glider synthesis

2022-10-25T17:10:37Z

Calcyman: /* Still life syntheses */

{{EmbedViewer
|pname = loafer_synth
|position = right
|caption = An 8-glider synthesis of a [[loafer]] 
|viewerconfig = #C [[ ZOOM 8 ]]
}}
{{Glossary}}
'''Glider synthesis''' (or '''glider construction''') is the construction of an object by means of collisions of [[glider]]s and glider-constructible [[spaceship]]s. It is generally assumed that the gliders should be arranged so that they could come from infinity - that is, gliders should not have had to pass through one another to achieve the initial arrangement (or else it is considered “not fully functional”). [[LWSS]]es, [[MWSS]]es and [[HWSS]]es can also be used in syntheses; these spaceships can themselves be easily synthesized from gliders at any point along their trajectory, so this conversion is often left as an implicit step.

==Features of syntheses==
Four main characterizing features of a synthesis are the ''geometry'', ''construction time'', ''glider cost'', and ''number of stages''.

The '''geometry''' is the number of directions of incoming gliders:
* four-directional: gliders collide from all four directions
* three-directional: gliders collide from all directions but one
* two-directional; further divisible in head-on and 90° syntheses. All two-glider syntheses are necessarily two-directional.
* unidirectional, which assumes the initial presence of a '''target''' (usually a [[still life]] or an [[oscillator]]) to be hit with gliders.
Since gliders are themselves glider-constructible, any multidirectional synthesis can be technically downgraded to a fewer-directional one, usually at the cost of increasing the construction time, cost, and/or number of stages needed for the synthesis. More challenging is finding a two- or three-directional synthesis for a particular object where few or no parts of the synthesis reactions extend outside the final pattern's [[bounding box]] in a particular direction. This is especially important for the synthesis of temporary [[bait]] objects, which will need to be placed sometimes quite close to other components without perturbing them. For especially tight locations, sometimes it will be useful to construct an [[LWSS]] (or another standard c/2 spaceship) some distance away from the synthesis nexus and let that collide with a glider in the final stages; this allows synthesis at a 45° angle, rather than a 90° angle as required for synthesis by gliders from separate directions.

The '''construction time''' is simply the number of [[generation]]s it takes to complete a synthesis. For multi-stage syntheses, each stage has its own construction time.

The '''number of stages''' is a count of how many separate operations a synthesis can be divided into, with pauses of arbitrary length between the stages. Often a particular synthesis operation cannot be achieved by a direct collision of gliders, and a synthesis procedure instead requires first synthesizing a number of [[bait]] objects, and then hitting these with gliders to produce the final result.

The '''cost''' is the number of gliders expended over the course of the synthesis. Similar to the construction time, it can be defined also for individual synthesis stages. A *WSS is considered to cost 3 gliders. The discovery of the [[reverse caber tosser]] in 2018 proved that there is a universal constant upper bound on the cost to synthesise any synthesisable object; currently, the best known upper bound is {{Reverse caber tosser/Lower bound}} gliders.

Of particular interest is [[salvo|slow salvo synthesis]]: unidirectional synthesis where every stage has a glider cost of one. Perhaps surprisingly, anything that is glider synthesizable is also slow salvo synthesizable, a result that crucially depends on the existence of [[universal construction]] [[construction arm|arms]] as well as [[one-time]] [[turner]]s and [[splitter]]s.

==Still life syntheses==
In the 1990s, glider syntheses for all [[still life]]s and known [[oscillator]]s with at most 14 [[cell]]s were found by [[David Buckingham]]. Almost all of these were successfully reduced to a synthesis cost of less than 1 glider per ON cell, or "1 glider per bit".<ref>{{LinkForumThread|p=20597|title=Re: 4 glider syntheses|author=Mark D. Niemiec|date=June 20, 2015|format=ref}}</ref>

A collaborative effort ending in May 2014 completed glider syntheses of all still lifes with 17 or fewer cells.<ref>{{LinkGoLNews|2014/05/constructions_known_for_all_st.html|title=Constructions Known for All Still Lifes up to 17 Bits|author=Dave Greene|date=May 23, 2014|archivedate=20180806063633}}</ref><ref>{{LinkForumThread|f=2|t=1276|title=17-bit SL Syntheses (100% Complete!)|author=Martin Grant|date=January 6, 2014|format=ref}}</ref><ref name="post11972" /> A lengthy project to complete syntheses for all 18-bit still life was completed in October 2019.<ref name="post83979" /> The syntheses for 19-bit still lifes were completed in February 2020,<ref name="post89061" /> and 20-bit still lifes in March 2021.<ref name="post125259" /> Later optimization projects reduced the maximum cost of construction for 15-bit,<ref>{{LinkForumThread|f=2|t=2441|title=15 in 15: Efficient 15-bit Synthesis Project (DONE!)|author=BlinkerSpawn|date=October 27, 2016|format=ref}}</ref><ref name="post37438" /> 16-bit,<ref>{{LinkForumThread|f=2|t=2642|title=16 in 16: Efficient 16-bit Synthesis Project|author=Bob Shemyakin|date=December 20, 2016|format=ref}}</ref><ref name="post43734" /> and 17-bit<ref name="post82560" /> still lifes to less than one glider per bit, in November 2016, May 2017, and September 2019 respectively.

In September 2020, the 17-glider reverse caber-tosser proved that all synthesizable still lifes could theoretically be constructed with no more than one glider per bit.<ref name="post104484" />

The following table displays statistics about the costs (excluding RCT constructions) for strict and pseudo still lifes with up to 21 cells as of August 28, 2021.<ref>{{CiteCatagolue|page=syntheses|title=Syntheses|accessdate=August 28, 2021}}</ref>

{| class="wikitable" style="text-align:center"
! rowspan=2 | Live cells !! colspan=4 | Strict still lifes !! colspan=3 | Pseudo still lifes
|-
! Count ({{OEIS|A019473}}) !! Min. cost !! Avg. cost !! Max. cost !! Count ({{OEIS|A056613}}) !! Min. cost !! Max. cost
|-
| 4 || {{A019473|4}} || 2 || 2.500 || 3 || {{A056613|4}} || – || –
|-
| 5 || {{A019473|5}} || 2 || 2.000 || 2 || {{A056613|5}} || – || –
|-
| 6 || {{A019473|6}} || 2 || 3.200 || 4 || {{A056613|6}} || – || –
|-
| 7 || {{A019473|7}} || 2 || 2.750 || 4 || {{A056613|7}} || – || –
|-
| 8 || {{A019473|8}} || 2 || 3.556 || 4 || {{A056613|8}} || 2 || 2
|-
| 9 || {{A019473|9}} || 3 || 4.000 || 5 || {{A056613|9}} || 3 || 3
|-
| 10 || {{A019473|10}} || 4 || 4.360 || 5 || {{A056613|10}} || 3 || 5
|-
| 11 || {{A019473|11}} || 4 || 4.848 || 7 || {{A056613|11}} || 3 || 6
|-
| 12 || {{A019473|12}} || 4 || 5.653 || 7 || {{A056613|12}} || 3 || 9
|-
| 13 || {{A019473|13}} || 4 || 6.263 || 8 || {{A056613|13}} || 4 || 9
|-
| 14 || {{A019473|14}} || 3 || 7.100 || 9 || {{A056613|14}} || 3 || 11
|-
| 15 || {{A019473|15}} || 4 || 8.201 || 11 || {{A056613|15}} || 4 || 12
|-
| 16 || {{A019473|16}} || 3 || 9.237 || 14 || {{A056613|16}} || 4 || style="background-color:#ffff80;" | 23{{refn|group=n|name=RCT}}{{refn|group=n|All but 4 16-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}
|-
| 17 || {{A019473|17}} || 4 || 10.427 || 16 || {{A056613|17}} || 4 || style="background-color:#ffff80;" | 19{{refn|group=n|name=RCT}}{{refn|group=n|All but 4 17-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}
|-
| 18 || {{A019473|18}} || 4 || 11.829 || style="background-color:#ffff80;" | 30{{refn|group=n|name=RCT|{{Reverse caber tosser/Lower bound}} gliders using the [[reverse caber-tosser]]}}{{refn|group=n|All but 572 18-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|18}}|| 4 || style="background-color:#ffff80;" | 67{{refn|group=n|name=RCT}}{{refn|group=n|All but 38 18-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}
|-
| 19 || {{A019473|19}} || 4 || 13.260 || style="background-color:#ffff80;" | 61{{refn|group=n|name=RCT}}{{refn|group=n|All but 2,867 19-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|19}} || 4 || style="background-color:#ffff80;" | 42{{refn|group=n|name=RCT}}{{refn|group=n|All but 84 19-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}
|-
| 20 || {{A019473|20}} || 4 || 14.966 || style="background-color:#ffff80;" | 119{{refn|group=n|name=RCT}}{{refn|group=n|All but 12,095 20-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|20}} || 4 || style="background-color:#ff8080;" | 3 unsynthesized
|-
| 21 || {{A019473|21}} || 5 || colspan=2 style="background-color:#ff8080;" | 83 unsynthesized{{refn|group=n|All but 42,152 21-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|21}} || colspan="2" style="background-color:#c0c0c0;" | {{refn|group=n|21-bit pseudo still lifes are currently not fully tabulated on Catagolue.}}
|}

In January 2022, work by [[Ilkka Törmä]] and [[Ville Salo]] demonstrated [[Unique father problem|a still life]] with 306 cells that is impossible to synthesize with gliders.

<references group=n />

== Spaceship syntheses ==
Perhaps the most interesting glider syntheses are those of [[spaceship]]s, because these can be used to create corresponding [[gun]]s and [[rake]]s. Many of the [[c/2]] spaceships that are based on standard spaceships have been synthesized, mostly by [[Mark Niemiec]]. In June {{year|1998}}, [[Stephen Silver]] found syntheses for some of the [[Cordership]]s (although it was not until July {{year|1999}} that [[Jason Summers]] used this to build a Cordership gun). Many larger Corderships also have known glider syntheses, and others could easily be generated using the same techniques. In general, larger Corderships have declined in importance after the discovery of four-, three- and two-engine versions.

In May {{year|2000}}, [[Noam Elkies]] suggested that [[60P5H2V0]], a [[2c/5]] spaceship found by [[Tim Coe]] in May {{year|1996}} might be a candidate for glider synthesis. Initial attempts to construct a synthesis for this spaceship got fairly close, but it was only in March {{year|2003}} that Summers and Elkies managed to find a way to perform the crucial last step. Summers then used the new synthesis to build a c/2 forward rake for the 2c/5 spaceship; this was the first example in [[Conway's Game of Life|Life]] of a rake which fires spaceships that travel in the same direction as the rake but more slowly.

After the [[loafer]] was discovered and synthesized in 2013, a number of new spaceship syntheses were found during a short period of time in late 2014 and early 2015, including the [[dart]], [[crab]], [[25P3H1V0.2]], [[30P5H2V0]], [[x66]], and [[weekender]]. Most of this was due to the work of [[Martin Grant]].


{| class="wikitable sortable"
! rowspan="2" | Name !! rowspan="2" | Speed !! colspan="2" | First synthesis !! Best current synthesis
|-
! Date !! Discoverer !! Fewest gliders
|-
| [[60P5H2V0]] || data-sort-value="o 0.4" | [[2c/5 orthogonal]] || 2003-03-17 || [[Noam Elkies]] || 37
|-
| [[loafer]] || data-sort-value="o 0.142857" | [[c/7 orthogonal]] || 2013-02-17 || [[Adam P. Goucher]] || 8
|-
| [[dart]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2014-12-02 || [[Ivan Fomichev]], [[Mark Niemiec]], [[Martin Grant]], [[Michael Simkin]] || 25
|-
| [[crab]] || data-sort-value="d 0.25" | [[c/4 diagonal]] || 2014-12-26 || [[Brett Berger]], [[Martin Grant]], [[Tanner Jacobi]] || 14
|-
| [[Parallel HBK]] || data-sort-value="oblique" | [[(6,3)c/245912]] || 2014-12-31 || [[Michael Simkin]] || 38,380
|-
| [[30P5H2V0]] || data-sort-value="o 0.4" | [[2c/5 orthogonal]] || 2015-01-01 || [[Martin Grant]], [[Matthias Merzenich]], [[Tanner Jacobi]] || 39
|-
| [[25P3H1V0.1]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2015-01-06 || [[Martin Grant]] || 19
|-
| [[x66]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2015-01-11 || [[Martin Grant]], [[Tanner Jacobi]] || 12
|-
| [[weekender]] || data-sort-value="o 0.285714" | [[2c/7 orthogonal]] || 2015-01-25 || [[Chris Cain]], [[Martin Grant]], [[Tanner Jacobi]] || 33
|-
| [[pufferfish spaceship]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2015-02-11 || [[Chris Cain]] || 51
|-
| [[Gemini]] || data-sort-value="oblique" | [[(2560,512)c/16849793]] || 2015-02-16 || [[Dave Greene]] || 173,449
|-
| half-[[x66]] with [[HWSS]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2015-03-08 || [[Adam P. Goucher]], [[praosylen]], [[Chris Cain]], [[Matthias Merzenich]] || 9
|-
| [[B29]] || data-sort-value="d 0.25" | [[c/4 diagonal]] || 2015-04-06 || [[Tanner Jacobi]] || 25
|-
| [[Pushalong 1]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2015-06-12 || [[Martin Grant]] || 14
|-
| [[30P4H2V0]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2015-09-10 || [[Tanner Jacobi]] || 50
|-
| [[0hd Demonoid]] || data-sort-value="d 0.000148114" | [[65c/438852 diagonal]] || 2015-12-06 || [[Chris Cain]] || 12,016
|-
| [[copperhead]] || data-sort-value="o 0.1" | [[c/10 orthogonal]] || 2016-03-05 || [[Tanner Jacobi]] || 13
|-
| [[fireship]] || data-sort-value="o 0.1" | [[c/10 orthogonal]] || 2016-03-21 || [[Nico Brown]], [[Tanner Jacobi]] || 18
|-
| [[25P3H1V0.2]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2017-12-15 || [[Martin Grant]] || 24
|-
| [[Orthogonoid]] || data-sort-value="o 0.0000736475" | [[16c/217251 orthogonal]] || 2017-12-30 || [[Dave Greene]] || 37,625
|-
| [[2-engine Cordership]] || data-sort-value="d 0.0833" | [[c/12 diagonal]] || 2017-12-31 || [[Dave Greene]] || 9
|-
| [[46P4H1V0]] || data-sort-value="o 0.25" | [[c/4 orthogonal]] || 2019-02-04 || [[Martin Grant]], [[Tanner Jacobi]] || 46
|-
| [[spider]] || data-sort-value="o 0.2" | [[c/5 orthogonal]] || 2019-03-07 || [[Martin Grant]] || 233
|-
| [[camelship]] || data-sort-value="oblique" | [[(3,1)c/3948264]] || 2019-05-04 || [[Dave Greene]] || 26,614
|-
| [[wings]] || data-sort-value="d 0.25" | [[c/4 diagonal]] || 2019-10-28 || [[Goldtiger997]], [[Tanner Jacobi]] || 31
|-
| [[orthogonal loopship]] || data-sort-value="o 0.0499977" | 1000130c/20003511 orthogonal || 2020-01-08 || [[Dave Greene]] || 56,643
|-
| [[56P6H1V0]] || data-sort-value="o 0.167" | [[c/6 orthogonal]] || 2020-03-25 || [[AforAmpere]], [[praosylen]], [[Goldtiger997]], [[Martin Grant]], [[Tanner Jacobi]] || 290
|-
| [[58P5H1V1]] || data-sort-value="d 0.2" | [[c/5 diagonal]] || 2020-04-03 || [[Adam P. Goucher]], [[BlinkerSpawn]], [[Goldtiger997]], [[Peter Naszvadi]], [[Tanner Jacobi]] || 100
|-
| [[31P8H4V0]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2020-04-10 || [[Goldtiger997]] || 36
|-
| [[70P2H1V0.1]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2020-07-18 || [[Martin Grant]] || 178
|-
| [[44P5H2V0]] || data-sort-value="o 0.4" | [[2c/5 orthogonal]] || 2020-08-29 || [[Goldtiger997]] || 24
|-
| [[55P9H3V0]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2020-09-19 || [[Goldtiger997]] || 231
|-
| [[Speed Demonoid]] || data-sort-value="d 0.1992019" | 1642811c/8246964 diagonal || 2020-09-26 || [[Dave Greene]] || 31,822
|-
| [[57P5H2V0]] || data-sort-value="o 0.4" | [[2c/5 orthogonal]] || 2020-11-02 || [[Goldtiger997]] || 391
|-
| [[turtle]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2020-12-04 || [[Goldtiger997]] || 227
|-
| [[doo-dah]] || data-sort-value="o 0.285714" | [[2c/7 orthogonal]] || 2020-12-06 || [[Goldtiger997]] || 39
|-
| [[edge-repair spaceship 1]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2021-01-24 || [[bubblegum]], [[goldenratio]] || 17
|-
| {{LinkCatagolue|xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3|patternname=72P4H1V0|style=raw}}<ref name="post124810" /> || data-sort-value="o 0.25" | [[c/4 orthogonal]] || 2021-03-08 || [[Tanner Jacobi]], [[Goldtiger997]] || 195
|-
| {{LinkCatagolue|xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221|patternname=61P4H1V0|style=raw}}<ref name="post128012" /> || data-sort-value="o 0.25" | [[c/4 orthogonal]] || 2021-04-10 || [[Goldtiger997]] || 89
|-
| [[Canada Grey]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2021-07-01 || [[Goldtiger997]], [[Martin Grant]] || 611
|-
| [[self-synthesizing oblique loopship]] || data-sort-value="oblique" | (16461006,16460963)c/75568091 || 2021-08-02 || [[Goldtiger997]] || 144,221
|-
| [[Orion 2]] || data-sort-value="d 0.25" | [[c/4 diagonal]] || 2022-01-10 || [[Goldtiger997]] || 58
|-
| [[33P4H1V1]] || data-sort-value="d 0.25" | [[c/4 diagonal]] || 2022-01-14 || [[Goldtiger997]], [[Mark Niemiec]]<ref name="post140292" /> || 45
|-
| [[70P5H2V0]] || data-sort-value="o 0.4" | [[2c/5 orthogonal]] || 2022-01-26 || [[Goldtiger997]] || 221
|-
| [[58P8H4V0]] || data-sort-value="o 0.5" | [[c/2 orthogonal]] || 2022-02-25 || [[Goldtiger997]], [[Mark Niemiec]] || 50
|-
| [[SSGRL]] || data-sort-value="o 0.2419" | 15492980c/72085603 orthogonal || 2022-03-08 || [[Goldtiger997]] || 141,617
|-
| [[30P3H1V0]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2022-06-16 || [[Goldtiger997]] || 24
|-
| [[29P3H1V0]] || data-sort-value="o 0.333" | [[c/3 orthogonal]] || 2022-06-29 || [[Goldtiger997]] || 35
|}

==Other syntheses of note==
[[Image:glider_synth_pentadecathlon.png|framed|right|A 3-glider synthesis of a [[pentadecathlon]].]]

A [[Three-glider collision|3-glider synthesis]] of a [[pentadecathlon]] was found in April {{year|1997}} by [[Heinrich Koenig]], which came as a surprise because it was widely assumed that such a small synthesis would already be known.

Along similar lines, a 3-glider synthesis of the [[bi-pond]] was discovered in June {{year|2014}} by [[Bob Shemyakin]]<ref>{{LinkForumThread|p=12276|title=4 glider syntheses|author=Bob Shemyakin|date=June 16, 2014|format=ref}}</ref>, a 3-glider synthesis of a messy [[glider-producing switch engine]] was found in October {{year|2014}} by [[Michael Simkin]]<ref>{{LinkForumThread|p=13988|title=Re: Making switch-engines|author=Michael Simkin|date=October 24, 2014|format=ref}}</ref>, and a 3-glider synthesis of a [[clean]] [[switch engine]] was discovered in March {{year|2017}} by [[Luka Okanishi]].<ref>{{LinkForumThread|p=41557|title=Re: Thread For Your Accidental Discoveries|work=ConwayLife.com forums|author=Luka Okanishi|date=March 12, 2017|format=ref}}</ref>

On March 27, {{year|2022}}, [[dani]] found that two copies of Simkin's GPSE synthesis could be combined to produce a record-breaking 6-glider synthesis<ref name="post143450" /> of a [[breeder]] which had been discovered a week earlier.<ref name="post143132" />

==2-glider syntheses==
{{main|2-glider collision}}

There are 71 distinct 2-glider collisions, of which 28 produce [[nothing]], six produce a [[block]], five produce a [[honey farm]], three produce a [[B-heptomino]], three produce a [[pi-heptomino]], three produce a [[blinker]], three produce a [[traffic light]], two produce a [[glider]], two produce a [[pond]], two produce a [[loaf]] and a [[blinker]], one produces a [[boat]], one produces a [[beehive]], one produces a [[loaf]], one produces an [[eater 1]], one produces [[lumps of muck]], one produces a [[teardrop]], one produces an [[interchange]], one produces a traffic light and a glider, one produces [[Two-glider octomino|an octomino]], one produces a [[bi-block]], one produces four blocks, one produces two blocks, one produces a blinker, loaf, [[tub]] and block, and one produces the so-called [[two-glider mess]], a [[methuselah]] stabilizing after 530 generations and consisting of four gliders, eight blinkers (including a traffic light), four blocks, a beehive and a [[ship]].

All 71 such syntheses can be seen below in a pattern put together by [[Jason Summers]] on January 29, {{year|2005}}:

{{EmbedViewer
|pname = twoglidersyntheses
|position = center
|caption = All 71 distinct 2-glider collisions, arranged by what they synthesize
|viewerconfig = #C [[ WIDTH 1200 HEIGHT 1200 ZOOM 3 ]]
}}

==See also==
* {{CategoryLink|Patterns constructible by a given number of gliders}}
* [[Salvo]]
* [[Tutorials/Glider syntheses]]
* [[Shinjuku]]

==References==
<references>
<ref name="post11972">{{LinkForumThread
|format = ref
|title = Re: 17-bit SL Syntheses
|p = 11972
|author = Martin Grant
|date = May 17, 2014
}}</ref>
<ref name="post82560">{{LinkForumThread
|format = ref
|title = Re: 17 in 17: Efficient 17-bit synthesis project
|p = 82560
|author = Tanner Jacobi
|date = September 9, 2019
}}</ref>
<ref name="post104484">{{LinkForumThread
|format = ref
|title = Re: Binary slow salvos
|p = 104484
|author = Adam P. Goucher
|date = September 19, 2020
}}</ref>
<ref name="post83979">{{LinkForumThread
|format = ref
|title = Re: 18-bit SL Syntheses (100% Complete!)
|p = 83979
|author = Ian07
|date = October 9, 2019
}}</ref>
<ref name="post89061">{{LinkForumThread
|format = ref
|title = Re: 19-bit still life syntheses
|p = 89061
|author = Martin Grant
|date = February 8, 2020
}}</ref>
<ref name="post125259">{{LinkForumThread
|format = ref
|title = Re: 20-bit still life syntheses
|p = 125259
|author = Martin Grant
|date = March 12, 2021
}}</ref>
<ref name="post37438">{{LinkForumThread
|format = ref
|title = Re: 15 in 15: Efficient 15-bit Synthesis Project (2 SLs remain)
|p = 37438
|author = Martin Grant
|date = November 19, 2016
}}</ref>
<ref name="post43734">{{LinkForumThread
|format = ref
|title = Re: 15 in 15: Efficient 15-bit Synthesis Project (2 SLs remain)
|p = 43734
|author = Goldtiger997
|date = May 24, 2017
}}</ref>
<ref name="post124810">{{LinkForumThread
|format = ref
|title = Re: Small Spaceship Syntheses
|p = 124810
|author = Goldtiger997
|date = March 8, 2021
}}</ref>
<ref name="post128012">{{LinkForumThread
|format = ref
|title = Re: Small Spaceship Syntheses
|p = 128012
|author = Goldtiger997
|date = April 10, 2021
}}</ref>
<ref name="post140292">{{LinkForumThread
|format = ref
|title = Re: Small Spaceship Syntheses
|p = 140292
|author = Mark Niemiec
|date = January 14, 2022
}}</ref>
<ref name="post143450">{{LinkForumThread
|format = ref
|title = Re: Small Quadratic Growth Patterns
|p = 143450
|author = dani
|date = March 27, 2022
}}</ref>
<ref name="post143132">{{LinkForumThread
|format = ref
|title = Re: Small Quadratic Growth Patterns
|p = 143132
|author = dani
|date = March 20, 2022
}}</ref>
</references>

==External links==
* [https://catagolue.hatsya.com/syntheses Catagolue synthesis database]
* {{LinkNiemiec|lifepage.htm|title=Mark Niemiec's glider synthesis database}}
* [https://conwaylife.com/ref/DRH/life.html Dean Hickerson's Life page] with four pages of glider syntheses
* [https://conwaylife.com/forums/viewtopic.php?p=46552#p46552 Martin Grant's synthesis component database], version 3
* [https://web.archive.org/web/20210716021110/http://pentadecathlon.com/constructions/components/components.php Heinrich Koenig's component catalog] on [[Game of Life News|pentadecathlon.com]]
* {{LinkLexicon|lex_g.htm#glidersynthesis}}
===Forum threads===
* {{LinkForumThread|f=2|t=3267|title=Still Life Synthesis Thread}}
* {{LinkForumThread|f=2|t=1155|title=Synthesising Oscillators}}
* {{LinkForumThread|f=2|t=1557|title=Small Spaceship Syntheses}}
* {{LinkForumThread|f=2|t=3960|title=Soup-based syntheses}}
* {{LinkForumThread|f=2|t=4257|title=Randomly enumerating glider syntheses}}
* {{LinkForumThread|f=2|t=1394|title=4 glider syntheses}}
* {{LinkForumThread|f=2|t=4063|title=Synthesis components}}

Reflector

2022-07-06T14:45:32Z

Calcyman: Define terms dependent and independent

{{Glossary}}
A '''reflector''' is a [[still life|stable]] or [[oscillator|oscillating]] pattern that can reflect some specific type of [[spaceship]] (usually a [[glider]]) without suffering permanent damage. The first known reflector was the [[pentadecathlon]], which can function as a 180-degree glider reflector as in [[relay]]. Other examples include the [[buckaroo]], the [[twin bees shuttle]] and some oscillators based on the [[traffic jam]] reaction. Glider [[gun]]s can also be made into reflectors, although these are mostly rather large.

A periodic reflector is described as '''dependent''' if it requires that the incoming stream repeat with the same period as the reflector, or '''independent''' otherwise.

==Bouncers and bumpers==
{{alsosee|Bumper and bouncer gallery}}
In September {{year|1998}} [[Noam Elkies]] found some fast small-period glider reflectors based on an arrangement of a [[block]], [[boat]] and [[eater 1]] that can be used in conjunction with a suitable [[sparker]] to create a 90-degree glider reflector. [[Pipsquirter 1]], [[pipsquirter 2]], and [[figure eight]] work for periods 6, 7, and 8, respectively. A more complicated construction is required for a [[p5 reflector]] (which, as had been anticipated, soon led to a [[true period]] 55 gun - see [[Quetzal]]). A variant of the [[pentadecathlon]] can also be used to construct a period 15 reflector in this way. These [[colour-changing]] reflectors were later labeled "[[bouncer]]s", to distinguish them from the [[colour-preserving]] [[bumper]]s discovered by Tanner Jacobi in April {{year|2016}}.

==Stable reflectors==
{{main|Stable reflector}}
Stable reflectors are special in that, if they satisfy certain conditions, they can be used to construct oscillators of all sufficiently large periods. It was known for some time that stable reflectors were possible (see [[universal constructor]]), but no one was able to construct an explicit example until [[Paul Callahan]] did so in October {{year|1996}}. Stable reflectors were progressively reduced in size. The record holder for many years was [[Silver's reflector]], but that has been replaced for many purposes by Mike Playle's successful hunt for the [[Snark]].

==Glider timing adjustment==

When using 2 90-degree reflectors to make a flexible 180-degree reflector, moving the reflector pair one cell outwards or inwards changes the glider's timing by 8 ticks. This is because gliders travel at [[c/4]], and when the path length is increased, the glider has to travel one [[full diagonal]] cell farther on both the outward trip and the return trip. If one of the 90-degree reflectors is [[colour-changing]] and one is [[colour-preserving]], it is possible to achieve a 4-tick change in timing by swapping the two reflectors: the total distance that the glider travels is then changed by just one [[half diagonal]].

A complete [[toolkit]] for adjusting glider timings therefore requires eight different combinations of reflectors for each color of output. Timing changes that are multiples of 8 (often called "mod 8" adjustments) can be made just by moving reflectors. But adjusting a glider's timing by 1, 2, 3, 4, 5, 6, or 7 ticks requires replacing one or more reflectors with new mechanisms that have the appropriate timing. The [[period-doubler toolkit]]<ref name="post55071" /> is a recent example of this kind of [[universal]] substitution mechanism.

When using reflectors in period x:
<table border=2 cellspacing=0>

<tr><th>Period</th><th>CP1</th><th>CP2</th><th>CC</th></tr>

<tr>
<td colspan=4></td>
</tr><tr>
<td >3</td>
<td >[[Snark]]</td>
<td >[[p3 bumper]]</td>
<td >Unknown</td>
</tr><tr>
<td >4</td>
<td >[[Snark]]</td>
<td >[[p4 bumper]]</td>
<td >[[p4 CC cenark]]
[[p4 bouncer]]</td>
</tr><tr>
<td >5</td>
<td >[[Snark]]</td>
<td >[[p5 bumper]]</td>
<td >[[p5 bouncer]]</td>
</tr><tr>
<td >6</td>
<td >[[Snark]]</td>
<td >[[p6 bumper]]</td>
<td >[[p6 bouncer]]</td>
</tr><tr>
<td >7</td>
<td >[[Snark]]</td>
<td >[[p7 bumper]]</td>
<td >[[p7 bouncer]]</td>
</tr><tr>
<td >8</td>
<td >[[Snark]]</td>
<td >[[p8 bumper]]</td>
<td >[[p8 bouncer]]</td>
</tr><tr>
<td >9</td>
<td >[[Snark]]</td>
<td >[[p9 bumper]]</td>
<td >[[p9 bouncer]]</td>
</tr><tr>
<td >10</td>
<td >[[Snark]]</td>
<td >[[p5 bumper]]</td>
<td >[[p5 bouncer]]</td>
</tr><tr>
<td >11</td>
<td >[[Snark]]</td>
<td >[[p11 bumper]]</td>
<td >Unknown</td>
</tr><tr>
<td >12</td>
<td >[[Snark]]</td>
<td >[[p6 bumper]]</td>
<td >[[p6 bouncer]]</td>
</tr><tr>
<td >13</td>
<td >[[Snark]]</td>
<td >Unknown</td>
<td >Unknown</td>
</tr><tr>
<td >14</td>
<td >[[Snark]]</td>
<td >[[p7 bumper]]</td>
<td >[[34P14 shuttle]]
as reflector</td>
</tr><tr>
<td >15</td>
<td >[[Snark]]</td>
<td >[[p15 bumper]]</td>
<td >[[p15 bouncer]]</td>
</tr><tr>
<td colspan=4>CP1 is the Snark.
CP2 is a CP reflector that is not the Snark (e.g. Bumper).
CC is a CC reflector (e.g. Bouncer).</td>
</tr>
</table>
By using 3 reflectors, it can basically lead a glider from one place and time to any other place and time. The Snark is used as the CP reflector, and the bouncer is used as a CC reflector. By putting one more reflector that is CP but a different timing compared to the Snark, the glider stream will be easy to rephase in steps of 1-7.

==References==
<references>
<ref name="post55071">{{LinkForumThread
|f = 2
|t = 2316
|p = 55071
|title = Re: Construction practice
|format = ref
|author = Chris Cain
|date = January 13, 2018
}}</ref>
</references>

==External links==
{{LinkWikipedia|Reflector_(cellular_automaton)}}
{{LinkLexicon|lex_r.htm#reflector}}
* {{LinkGoLNews|2007/12/new_180degree_glider_reflector.html|title=New 180-degree glider reflector, period 4 and up|date=December 17, 2007|author=Dave Greene}}

Independent reflector

2022-07-06T14:41:08Z

Calcyman: Redirected page to Reflector

#REDIRECT [[reflector]]

74P34

2022-07-06T14:38:58Z

Calcyman: p34 bumper

{{Oscillator
|name = 74P34
|pname = 74p34
|c = 74
|bx = 27
|by = 31
|p = 34
|m = 34
|h = 37.9
|v = 0.85
|sv = 0.85
|discoverer = Mitchell Riley
|discoveryear = 2022
|rulemin = B3/S23
|rulemax = B3/S2378
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B3/S234z5n6in78
|synthesis = 34
|plaintext = true
|rle = true
|viewerconfig = #C [[ LOOP 34 GPS 17 THUMBSIZE 2 HEIGHT 600 WIDTH 600 ]]
|apgcode = xp34_x4s0gy1ca23z4s0g011zw11y0ca2acy6oge2zgs26y6ckgkczyj31e8zy7ggkcy131e8zy71
}}
'''74P34''' (or '''p34 pi-heptomino hassler''') is a {{period|34}} [[oscillator]] discovered by [[Mitchell Riley]] on July 6, [[2022]] using [[CatForce]], and is the first [[non-trivial]] example of its period. A 34-glider synthesis was found on the day of the oscillator's discovery.<ref name="post147876" />

It can be made into a sparker by adding a [[block]] and [[beehive]], which enables the construction of a period-34 [[bumper]].<ref name="post147953" /> This is the first [[independent reflector]] compatible with period-34 glider streams, as well as the lowest possible repeat time of any bumper.

{{EmbedViewer
|pname = p34loop
|position = center
|caption = p34 bumper by iNoMed and MAPbot 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 640 HEIGHT 640 ZOOM 6 GPS 34 LOOP 204 ]]
}}

==References==
<references>
<ref name="post147876">
{{LinkForumThread
|format = ref
|title = Re: Synthesising Oscillators
|author = Carson Cheng
|p = 147876
|date = July 4, 2022
}}
</ref>
<references>
<ref name="post147953">
{{LinkForumThread
|format = ref
|title = Re: Synthesising Oscillators
|author = iNoMed
|p = 147953
|date = July 4, 2022
}}
</ref>
</references>

RLE:P34loop

2022-07-06T14:32:31Z

Calcyman: Created page with "x = 73, y = 73, rule = B3/S23 14bo11bo$14b3o7b3o$17bo5bo$16b2o5b2o6bo$29b3o$28bo$28b2o$19b3o$18bo4bo b3o$17bo10bo32bo$12b2o4b2o8bo30b3o$3b2o6bo2bo5bo3bo3bo20b2o7bo$4bo6bo 3bo4bo2bob3o2b2o18bo7b2o$4bobo5b2ob2o3b2ob2o5bobo17bobo$5b2o2b3obo2bo 4bo3bo6bo18b2o$8bo3bo3bo5bo2bo6b2o21b3o$8bo8b2o4b2o15bo5b2o$8bo10bo7bo 10b3o6bo7bobo$9b3obo4bo7bobo8bo9bobo6bo3b3o$15b3o8bobo8b2o9b2o$7b2o18b o31bo11b2o$8bo24bo21b2o2bo11bo$5b3o24bobo16b2obobo2bo8b2obo$5bo6b2o5b 2o5b2o3bo2bo15bo3b2o4b..."

x = 73, y = 73, rule = B3/S23
14bo11bo$14b3o7b3o$17bo5bo$16b2o5b2o6bo$29b3o$28bo$28b2o$19b3o$18bo4bo
b3o$17bo10bo32bo$12b2o4b2o8bo30b3o$3b2o6bo2bo5bo3bo3bo20b2o7bo$4bo6bo
3bo4bo2bob3o2b2o18bo7b2o$4bobo5b2ob2o3b2ob2o5bobo17bobo$5b2o2b3obo2bo
4bo3bo6bo18b2o$8bo3bo3bo5bo2bo6b2o21b3o$8bo8b2o4b2o15bo5b2o$8bo10bo7bo
10b3o6bo7bobo$9b3obo4bo7bobo8bo9bobo6bo3b3o$15b3o8bobo8b2o9b2o$7b2o18b
o31bo11b2o$8bo24bo21b2o2bo11bo$5b3o24bobo16b2obobo2bo8b2obo$5bo6b2o5b
2o5b2o3bo2bo15bo3b2o4b2o4bo3bo$13bo5bo6b2o4b2o$10b3o7b3o25bo3bo4b2o4b
2o3bo$10bo5b2o4bo11b2o11bob2o8bo2bobob2o$17bo16bobo10bo11bo2b2o$17bob
2o2bo10bo11b2o11bo$18bo5bo44b2o$56b3o3bo6bobo$25bo35bobo7bo$20b2o26b2o
3b2o16b2o$15bo32b2o2bo2bo5b3o$13b3o6b3o28b2o11b2o$3b2o7bo16bo36bobo$4b
o7b2o16bo28b2o7bo$4bobo21b3o18bo10bo7b2o$5b2o11b2o28bobo6b3o$9b3o5bo2b
o2b2o23bo2bo5bo$2o16b2o3b2o24b2o$bo7bobo$bobo6bo3b3o$2b2o49b2o$13bo11b
2o11bo14bobo$9b2o2bo11bo10bobo16bo$5b2obobo2bo8b2obo11b2o11bo4b2o5bo$
4bo3b2o4b2o4bo3bo25b3o7b3o$39b2o4b2o6bo5bo$2bo3bo4b2o4b2o3bo15bo2bo3b
2o5b2o5b2o6bo$bob2o8bo2bobob2o16bobo24b3o$bo11bo2b2o21bo24bo$2o11bo31b
o18b2o$23b2o9b2o8bobo8b3o$10b3o3bo6bobo9bo8bobo7bo4bob3o$15bobo7bo6b3o
10bo7bo10bo$25b2o5bo15b2o4b2o8bo$15b3o21b2o6bo2bo5bo3bo3bo$20b2o18bo6b
o3bo4bo2bob3o2b2o$20bobo17bobo5b2ob2o3b2ob2o5bobo$13b2o7bo18b2o2b3obo
2bo4bo3bo6bo$14bo7b2o20bo3bo3bo5bo2bo6b2o$11b3o30bo8b2o4b2o$11bo32bo
10bo$45b3obo4bo$51b3o$43b2o$44bo$41b3o$41bo6b2o5b2o$49bo5bo$46b3o7b3o$
46bo11bo!

Mvr

2022-07-06T11:42:21Z

Calcyman: Rerouted redirect away from empty category page

#REDIRECT [[Mitchell Riley]]

P84 honey farm hassler

2022-07-06T11:41:20Z

Calcyman: mvr --> Mitchell Riley

{{Oscillator
|name = p84 honey farm hassler
|pname = p84honeyfarmhassler
|f1 = Pipsquirter
|c = 42
|bx = 35
|by = 22
|p = 84
|m = 84
|h = 41.9
|v = 0.94
|sv = 0.94
|discoverer = Mitchell Riley
|discoveryear = 2022
|rulemin = B3/S23
|rulemax = B38/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B38/S234c6i
|synthesis = 13
|rle = true
|plaintext = true
|viewerconfig = #C [[ TRACKLOOP 84 0 0 GPS 21 THUMBSIZE 2 ]]
|apgcode = xp84_8oymca23z0123ya4995zy9kii4yao8gzxo8a6ym32
}}
'''p84 [[honey farm hassler]]''' is a {{period|84}} [[oscillator]] found by [[Mitchell Riley]] on May 10, {{year|2022}} using a modified version of [[CatForce]] which supports [[static symmetry|static symmetries]].<ref name="post145411" /> With only 42 cells, it is the smallest known p84 oscillator by population, surpassing [[52P84]].

A {{gliders|16}} [[synthesis]] of this oscillator was found on the day of its discovery.<ref name="message973772049526951936" /> An unknown user improved this to {{gliders|13|brief}} gliders soon after: two gliders each for the honey farms and three of the fishhooks, and three gliders for the last fishhook.

On June 21, [[iNoMed]] found that this oscillator could be used to [[filter]] a [[p4-assisted period-28 glider gun|period-28 glider gun]], resulting in a p84 gun with a [[bounding box]] of only 35×47.<ref name="post147384" />

==Gallery==
{{EmbedViewer
|pname = p9thumbonp84honeyfarmhassler
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = p252 [[SKOP]]: [[p9 thumb]] on p84 honey farm hassler<ref name="post145436" /> 
}}

==References==
<references>
<ref name="post145411">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 145411
|author = cvojan
|date = May 10, 2022
}}</ref>
<ref name="message973772049526951936">{{CiteDiscord
|author = Ian07
|date = May 10, 2022
|channel = cgol
|id = 973772049526951936
}}</ref>
<ref name="post147384">{{LinkForumThread
|format = ref
|title = Re: Execution of Old Guns by Variable-Speed Firing Squad
|p = 147384
|author = iNoMed
|date = June 21, 2022
}}</ref>
<ref name="post145436">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 145436
|author = David Raucci
|date = May 11, 2022
}}</ref>
</references>

==External links==
{{LinkCatagolue|xp84_8oymca23z0123ya4995zy9kii4yao8gzxo8a6ym32|patternname=p84 honey farm hassler}}

{{DISPLAYTITLE:p84 honey farm hassler}}
{{Sparker|p=84|type=domino|strength=moderate}}
{{Symmetry|180degree}}
[[Category:Patterns discovered by pseudonymous users]]

62P83

2022-07-06T11:40:36Z

Calcyman: mvr --> Mitchell Riley

{{Oscillator
|name = 62P83
|pname = 62p83
|c = 62
|bx = 35
|by = 27
|p = 83
|m = 83
|h = 32.1
|v = 0.88
|sv = 0.88
|discoverer = Mitchell Riley
|discoveryear = 2022
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B34e/S234c6e
|synthesis = 26
|plaintext = true
|rle = true
|viewerconfig = #C [[ LOOP 83 GPS 15 THUMBSIZE 2 HEIGHT 600 WIDTH 600 ]]
|apgcode = xp83_y22egoy3c871zyjc453z33y5442c4xgo0ggzy5ggoy51y733zy432y1g8oy3c4ozya23y711
}}
'''62P83''' (or '''p83 pi-heptomino hassler''') is a {{period|83}} [[oscillator]] discovered by [[Mitchell Riley]] on July 5, [[2022]] using the [[symmetric]] variant of the [[CatForce]] [[search program]].<ref name="post147909" /> It shares its place with [[74P127]] as the only [[prime-period oscillator|prime period-oscillators]] above period 47 that is not based on adjustable signal loops.

Upon its discovery, [[INoMed]] created a [[gun]] using two copies of the oscillator.<ref name="post147908" />

==Gallery==
{{EmbedViewer
|rle = x = 66, y = 30, rule = B3/S23
19b2o$6b2o11bo$7bo9bobo7b2o$7bobo7b2o7bobo21b2o$8b2o16bobobo6b2o11bo$
25b2o2b2o7bo9bobo$26bo11bobo7b2o$23b3o13b2o$23bo32b2o$57bo$2o52b3o$2o
11bo40bo$11b2ob2o$14bo5bo$19b2ob2o20bo$21bo20b2ob2o$45bo5bo$50b2ob2o$
11bo40bo11b2o$9b3o52b2o$8bo$8b2o32bo$25b2o13b3o$16b2o7bobo11bo$15bobo
9bo6bobo3b3o$15bo11b2o6b2o5bo13b2o$14b2o19bo11b2o7bobo$46bobo9bo$46bo
11b2o$45b2o!
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = Period-83 [[glider gun]] built by iNoMed 
}}

==References==
<references>
<ref name="post147909">
{{LinkForumThread
|format=ref
|title=Re: Oscillator Discussion Thread
|author=mvr
|p=147909
|date=July 5, 2022
}}
</ref>
<ref name="post147908">
{{LinkForumThread
|format=ref
|title=Re: Gun Discussion Thread
|author=iNoMed
|p=147908
|date=July 5, 2022
}}
</ref>
</references>

74P34

2022-07-06T11:39:39Z

Calcyman: mvr --> Mitchell Riley (don't worry; I checked with mvr before doing this so it's not doxxing)

P34 pi hassler

2022-07-06T10:33:42Z

Calcyman: Redirected page to 74P34

#REDIRECT [[74P34]]

Charity Engine

2022-07-04T15:13:55Z

Calcyman: 6T objects is approximately 300G soups, so 'several trillion' is an overestimate

{{Software
|name = Charity Engine
|image =
|url = https://www.charityengine.com/
|purpose = Distributed computing
|createdby = The Worldwide Computer Company Limited
|platform = Windows, Mac, Linux, Android
}}
'''Charity Engine''' is a volunteer distributed computing project founded in 2008. It is based on Berkeley University's BOINC software, and has been noted for its contributions to protein folding, and for finding several solutions to the "sum of three cubes" problem.

In early 2022, [[apgsearch]] was added to the list of projects Charity Engine conducts. [[Haul]]s from the soup searching program are uploaded to [[Catagolue]] under the username '''TechnobladeNeverDies''', an account owned by Darren Li, who developed the specific patch to apgsearch that is used on Charity Engine.{{refn|group=note|The account username is a reference to the YouTuber [https://www.youtube.com/c/Technoblade Technoblade].}} The network is consistently searching hundreds of billions of [[soup]]s per day, and TechnobladeNeverDies is currently the most prolific contributor in the history of soup searching. The first hauls from Charity Engine were submitted to Catagolue on January 6, 2022.<ref name="message928819605491822623" />

Notable discoveries include:

* January–February 2022: record-breaking [[messless]] methuselahs in both C1<ref name="post140267" /> and C4_4<ref name="post141951" /> [[Static symmetry|symmetries]]
* February 2022: [[32P21]], then the smallest known {{period|21}} [[oscillator]]<ref name="post141492" />
* February 2022: a symmetric soup containing a [[bi-gun]], the second unique gun to have occurred [[semi-naturally]]<ref name="post141568" />
* February 2022: a new [[period-30 glider gun]],<ref name="post141655" /> which can be monomerized to only contain a single [[queen bee]]<ref name="post141656" />
* February 2022: [[58P8H4V0]], the first {{periodS|8}} [[spaceship]] to occur in a random [[soup]]<ref name="post142084" />
* March 2022: a symmetric soup containing a pair of [[dart]]s, making it the first {{periodS|3}} [[spaceship]] to occur [[semi-naturally]]<ref name="post142429" />
* April 2022: a symmetric soup containing two copies of [[44P5H2V0]], making it the first {{periodS|5}} [[spaceship]] to occur [[semi-naturally]]<ref name="post143703" />
* April 2022: a symmetric soup via [[apgsearch]] exhibiting [[infinite growth]] whose center takes 225,593,194 generations to stabilize, a new record<ref name="post144121" />
* May 2022: [[30P25]], then the smallest known {{period|25}} [[oscillator]]<ref name="post145728" />
* May 2022: [[meatball]], a {{period|7}} [[sparker]] with some similar functionality to the previously known [[38P7.2]]<ref name="post146196" />
* June 2022: [[Charity's p16]], a {{period|16}} [[sparker]]<ref name="post147745" />

{{PatternsFoundBy|Charity Engine}}

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

==References==
<references>
<ref name="message928819605491822623">{{CiteDiscord
|author = very (Darren Li)
|date = January 6, 2022
|channel = tools
|id = 928819605491822623
}}</ref>
<ref name="post140267">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 140267
|author = Ian07
|date = January 13, 2022
}}</ref>
<ref name="post141951">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 141951
|author = Ian07
|date = February 21, 2022
}}</ref>
<ref name="post141492">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 141492
|author = David Raucci
|date = February 11, 2022
}}</ref>
<ref name="post141568">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 141568
|author = dani
|date = February 12, 2022
}}</ref>
<ref name="post141655">{{LinkForumThread
|format = ref
|p = 141655
|title = Re: Soup search results
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post141656">{{LinkForumThread
|format = ref
|p = 141656
|title = Re: Gun Discussion Thread
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post142084">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 142084
|author = cvojan
|date = February 24, 2022
}}</ref>
<ref name="post142429">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 142429
|author = cvojan
|date = March 4, 2022
}}</ref>
<ref name="post143703">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 143703
|author = David Raucci
|date = April 2, 2022
}}</ref>
<ref name="post144121">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 144121
|author = dani
|date = April 11, 2022
}}</ref>
<ref name="post145728">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 145728
|author = cvojan
|date = May 18, 2022
}}</ref>
<ref name="post146196">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 146196
|author = Tanner Jacobi
|date = May 28, 2022
}}</ref>
<ref name="post147745">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 147745
|author = EvinZL
|date = June 30, 2022
}}</ref>
</references>

==External links==
*[https://www.charityengine.com/ Official website]
*[https://catagolue.hatsya.com/user/TechnobladeNeverDies TechnobladeNeverDies] on Catagolue
{{LinkWikipedia|Charity_Engine}}

{{CatagolueNavbox}}

Period-52 glider gun

2022-04-27T23:22:10Z

Calcyman: hotcrystal0 reaction

{{Gun
|name = Period-52 glider gun
|pname = period52gun
|c = 7161
|bx = 308
|by = 298
|p = 52
|b = 1
|discoverer = Dave Greene
|discoverer2 = Matthias Merzenich
|discoverer3 = Adam P. Goucher
|discoverer4 = Chris Cain
|discoveryear = 2018
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin = B3/S23
|isorulemax = B3/S23
|rle = true
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 2 WIDTH 680 HEIGHT 680 POPUPWIDTH 680 POPUPHEIGHT 680 GPS 40 ]]
}}{{About|the first true period-52 glider gun, constructed in September 2018|other uses|p52 gun (disambiguation)}}
'''Period-52 glider gun''' is the first [[Gun#True-period_guns|true period]] 52 [[gun]] to be discovered. The first construction was completed by [[Dave Greene]] in September {{year|2018}}.<ref name="post64083" /> The smaller [[p13-assisted period-52 glider gun]] was later discovered in the same year.

In April 2016, [[Matthias Merzenich]] first had the idea that a [[Herschel track]] composed of Fx77 conduits could be overclocked at period 52.<ref name="post30107" /> The difficulty arises in that the [[first natural glider]] emitted by one Herschel soon collides into the next Herschel. Merzenich suggested that the first natural glider could be eaten dependently by a [[glider]] [[shuttle]], and eventually found a suitable one using [[JavaLifeSearch]]. This led to the construction of a Herschel track, but with no means of inserting a Herschel:

{{EmbedViewer
|pname = sokweshuttle
|position = center
|caption = Glider shuttles delete first natural gliders to stabilize the track 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 960 HEIGHT 480 ZOOM 4 GPS 40 LOOP 52 ]]
}}

Two years later, [[Louis-François Handfield]] found a stable 2G-to-H which can operate at p52. With a third glider to suppress the first natural glider, this is compatible with Merzenich's track.<ref name="post58814" /> Unfortunately, this can radiate at most three gliders, because only 2 of the p52 glider shuttle can be welded to liberate an extra glider without colliding, and even so, two are on inextricably close lanes. [[Adam P. Goucher]] was able to assemble these into a p52 [[emu]]; this is less interesting than a gun as p52 oscillators are already known.<ref name="post58837" />
{|
|{{EmbedViewer
|pname = p52emu
|position = center
|caption = Period-52 emu 
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 720 HEIGHT 720 GPS 24 ZOOM 1 ]]
}}
|{{EmbedViewer
|pname = p52emu2
|position = center
|caption = Period-52 emu 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 720 HEIGHT 720 ZOOM 2 GPS 26 LOOP 53 ]]
}}
|}

For several months, there was no further progress, until Matthias Merzenich demonstrated that a period-4 [[bumper]] could almost be used to liberate an extra glider from the conduit.<ref name="post64015" /> After careful use of [[JavaLifeSearch]], he was able to find a suitably modified sparker and construct an over-unity component:<ref name="post64056" />

{{EmbedViewer
|pname = p52g3to4
|position = center
|caption = Three glider streams are converted to four, but two are too close 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 640 HEIGHT 640 ZOOM 4 GPS 40 LOOP 52 ]]
}}

By itself, this is not sufficient for a gun, as separating the two output streams is nontrivial. Even using the block [[rephaser]] it is not possible to separate the 2 gliders.
Adam P. Goucher commented that it could be composed with a quarter-emu to produce a Herschel instead, and that it might be possible to use that output Herschel to reflect one of the streams from another copy of the mechanism. [[Chris Cain]] succeeded in demonstrating the possibility of this:<ref name="post64077" />

{{EmbedViewer
|pname = p52overunity
|position = center
|caption = Six glider streams are converted to seven 
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1000 HEIGHT 800 ZOOM 2 GPS 24 ]]
}}

Due to [[colour]] constraints and the fact that every known reflector is colour-preserving (apart from the long-forgotten [[p4 CC cenark]]), [[Dave Greene]] used two copies of the over-unity component to yield a symmetric two-barreled gun. Further optimizations followed, including simplifying it to a one-barreled variant:

{{EmbedViewer
|pname = period52gun2
|position = center
|caption = One barrel 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 720 HEIGHT 640 ZOOM 2 GPS 40 LOOP 52 ]]
}}

Finally, Adam P. Goucher employed the use of cenarks to result in an even more compact construction, which Chris Cain further optimised using period-4 [[bouncer]]s. This was optimised by [[Dave Greene]] and others, resulting in a 308-by-298 form.<ref name="post64326" />

==Period-13 oscillators==
{{main|p13-assisted period-52 glider gun}}
[[Entity Valkyrie]] found that the [[87P26]] can eat the [[first natural glider]]s, which [[Matthias Merzenich]] noticed can liberate gliders from the middle of the Herschel track because it could be welded with a small p4 oscillator. [[Chris Cain]] assembled a much [[smaller period-52 glider gun]] using this idea. After further optimizations it evolved into the 126×97 pattern shown below:<ref name="post65762" />

{{EmbedViewer
|pname = p52gun3
|position = center
|caption = p13-assisted variant by Entity Valkyrie, [[Chris Cain]], [[Matthias Merzenich]], [[Adam P. Goucher]] and [[Dave Greene]] 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 800 HEIGHT 720 ZOOM 6 GPS 40 LOOP 52 ]]
}}

==Herschel-free mechanism==

[[iNoMed]] assembled a much smaller gun using the [[hotcrystal0 reaction]], reducing it to 76×73:

{{EmbedViewer
|pname = p52gun5
|position = center
|caption = iNoMed's Herschel-free gun using the hotcrystal0 reaction 
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 WIDTH 640 HEIGHT 640 ZOOM 8 GPS 40 LOOP 52 ]]
}}

==See also==
* [[Quetzal]]

==References==
<references>
<ref name="post64083">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 64083
|author = Dave Greene
|date = September 26, 2018
}}</ref>
<ref name="post30107">{{LinkForumThread
|format = ref
|title = Re: p61 gun
|p = 30107
|author = Matthias Merzenich
|date = April 16, 2016
}}</ref>
<ref name="post58814">{{LinkForumThread
|format = ref
|title = Re: Thread For Your Accidental Discoveries
|p = 58814
|author = Louis-François Handfield
|date = April 2, 2018
}}</ref>
<ref name="post58837">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 58837
|author = Adam P. Goucher
|date = April 3, 2018
}}</ref>
<ref name="post64015">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 64015
|author = Matthias Merzenich
|date = September 25, 2018
}}</ref>
<ref name="post64056">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 64056
|author = Matthias Merzenich
|date = September 26, 2018
}}</ref>
<ref name="post64077">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 64077
|author = Chris Cain
|date = September 26, 2018
}}</ref>
<ref name="post64326">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 64326
|author = Adam P. Goucher
|date = October 3, 2018
}}</ref>
<ref name="post65762">{{LinkForumThread
|format = ref
|title = Re: Gun Discussion Thread
|p = 65762
|author = Matthias Merzenich
|date = November 19, 2018
}}</ref>
</references>

RLE:P52gun5

2022-04-27T23:18:47Z

Calcyman: iNoMed's p52 gun

x = 73, y = 75, rule = B3/S23
13b3o9b3o$14b3o7b3o$18bo2b2o$19b4o$19bo4bo$16b4o4bo13bo$7bo8bo3bo3bo
14b2o$bob2obobo3b2o7bo16b2o$b2obobobo3bo2bo$5b2o2b2obob2o$b4o2bobo2bo
2bobo14b2o$o3b4o2bob2o2b2o6bo6bo2bo$bo6b3o11b2obo6b2o$bo2bo2bo4b2o8bo
2bo$2b2obo2bo4bo8b3o$2b3ob3o4bobo19b2o$14b2o19bo$bob2ob5o25b3o$b2ob2ob
o3bo26bo12bo$b3o6b2o40b2o$51b2o$3bo2bo2$5b2o17b2o8b2o$2o3bo6b3o9bobo6b
2o$o2b2o21bo8bo12bo$b3obo5bo2bo11b2o20b3o$4bo7b2o9bo27bo$b3o20bo25b2o$
bo20b3o37b3o$61bo2bo$53b2o6bob2o$52bo2bo6bo6b2o$11bo41b2o14bobo$10bobo
58bo$10bobo58b2o$11bo12b2o21b2o16bo$15b2o6b2o21b2o$15bobo7bo22bo12b2o
5b2o$5bo11bo41b2o4bo4b2o$6b2o9b2o17bo26b2ob2o$5b2o30bo21bobo7bobo$35b
3o21bo2bobobobo2bo$58b5obobob5o$58bo4bo3bo4bo$59b3obobobob3o$61bob2obo
2bo$66bobo$66b2o$37b2o$25b2o9b2o$26bo11bo$18bo7bobo$19b2o6b2o20bo$18b
2o12bo17bo$31bobo14b3o$31bobo$32bo3$44bo$39b2ob2obo$38bo3bo2bo$30b2o9b
obob2o$29bo2bo6bo2b2o3bo$38b2o4b2o2bo$29b3o6bo2bobo2b3o13bo$38bo4b3o
17bo$38bo2bobo2bo14b3o$38b2o4b3o$39bo2b2o$32b2o7bobob2o$32bo5bo3bo2bo$
33b3o3b2ob2obo$35bo8bo!

Reverse caber-tosser

2022-04-20T12:03:07Z

Calcyman: /* Applications */

A '''reverse caber-tosser''' (RCT) is a universal constructor with a small bounded population, where a recipe is encoded in the distance between an approaching [[c/12 diagonal]] object (such as a Cordership or puffer) and the origin. One or more [[glider]]s shuttle between the Cordership and the fixed circuitry, causing the times between collisions to repeatedly halve. The pattern is named by analogy with the [[caber tosser]] which behaves as a time-reversed version thereof. Each iteration, the least significant bit of the recipe is consumed by the circuitry and typically routed to a universal construction arm.

{{POTY|name=The reverse caber-tosser|year=2018|rank=3|behind=the [[0E0P metacell]] and [[Sir Robin]]}}

There have been three fundamentally different reverse caber tosser designs, which follow the same general principle but differ in the implementation details.

==Applications==

The binary output stream can be connected to a [[construction arm]] capable of [[universal construction]]. In doing so, a bounded-[[population]] initial setup can construct an arbitrary glider-constructible pattern. Since the reverse caber-tosser (together with the attached construction arm) is itself [[synthesis]]able, this implies the existence of some fixed integer N such that any glider-constructible pattern can be synthesised in at most N gliders. In combination with a [[universal computer]], this implies the existence of arbitrarily slow spaceships<ref>{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&t=3347&start=75#p60820|title=Re: Building a reverse caber-tosser|author=Dave Greene|date=June 8, 2018}}</ref> which, in one phase, consist only of N gliders.

Currently, the best upper bound on N is {{Reverse caber tosser/Lower bound}} gliders.

The application is mostly theoretical rather than practical: it takes a number of generations exponential in the recipe length to construct a given glider synthesis, thereby cancelling out any potential speedup from [[Hashlife]]. Even though it is straightforward to calculate the positions of the initial gliders needed to create a given recipe, it is impractical to run all but the simplest of constructions. On April 16, {{year|2022}}, Goucher published an example pattern with a 2-kilobit recipe, along with a Python script to assist with running it in [[Golly]], which produces a [[shillelagh]] (along with a massive amount of additional debris) after approximately 5.23×10615 generations.<ref name="post144315" /> As this takes two hours to run, and the total wall-clock runtime appears to be cubic in the recipe length, it is infeasible to directly run significantly more complicated constructions.

==History==

===Original 329-glider design===

The pattern<ref>{{cite web|url=
https://conwaylife.com/forums/viewtopic.php?f=2&t=3347&start=75#p60865|title=Re: Building a reverse caber-tosser|author=Adam P. Goucher|date=June 10, 2018}}</ref> was built in 2018 by [[Adam P. Goucher]] and [[Dave Greene]] using a glider-pair reflection reaction found by [[Martin Grant]]. The circuitry involves [[Herschel track]]s, period-8 [[reflector]]s and [[bumper]]s, and a receding [[block-laying switch engine]] to produce an inexhaustible source of [[block]]s to act as [[elbow]]s for the construction arm.

The assembly was later synthesised by [[Goldtiger997]], providing the explicit upper bound of N <= 329. This settled a 2015 conjecture by Gustavo Ramos Rehermann<ref>{{cite web|url=
https://conwaylife.com/forums/viewtopic.php?f=12&t=1596&hilit=caterpillar#p16509|title=
Re: Game-of-Life-related Secret project leaked - GOL-SSRP|author=Gustavo Ramos Rehermann|date=February 4, 2015}}</ref> that the [[Caterpillar]] can be built in fewer than 386 gliders, assuming that it can be constructed at all (which is strongly believed to be the case).

Three days later, Dave Greene wrote a blog post<ref>{{cite web|url=http://b3s23life.blogspot.com/2018/06/the-meaning-of-life-is-42-but-cost-of.html|title=The Meaning of Life is 42 -- But the Cost of Living is Capped at 329|author=Dave Greene|date=June 13, 2018}}</ref> announcing this discovery.

===Pure switch-engine designs===

[[Adam P. Goucher]] observed that the glider stream produced by a [[glider-producing switch engine]] is identical to that of a period-256 [[glider gun]], but much cheaper to synthesise. [[Chris Cain]] proceeded to redesign the reverse caber-tosser to replace all of the fixed circuitry with just 12 glider-producing switch engines, and exhibited a suitable 4-glider synthesis for a glider-producing switch engine. Moreover, he noticed that one of the emitted gliders could be used to stabilise the synthesis of the block-laying switch-engine, eliminating a further glider.

On the 28th June 2018, Chris Cain completed<ref>{{cite web|url=
https://conwaylife.com/forums/viewtopic.php?f=2&t=3347&start=125#p61433|title=Re: Building a reverse caber-tosser|author=Chris Cain|date=June 28, 2018}}</ref> a 59-glider synthesis of this reverse caber-tosser, demonstrating both the PULL and DFIRE operations and improving the upper bound on N from 329 to 59. The minimum population attained is 278, which implies the existence of an extremely high-period [[knightship]] with a smaller population than the 282-cell [[Sir Robin]] (which was discovered earlier in the same year).

Later that same day, Chris Cain replaced the [[2-engine Cordership]] with a slightly cheaper [[boat]] [[puffer]], reducing the total number of gliders from 59 to 58.<ref>{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&t=3347&start=125#p61439|title=Re: Building a reverse caber-tosser|author=Chris Cain|date=June 28, 2018}}</ref>

On 2nd July 2018, Chris Cain proceeded to optimise this to 44 gliders, and a suggestion of [[Dave Greene]] reduced this further to 43.

On 5th July 2018, Adam P. Goucher and Chris Cain reduced this further to just 35 gliders, by using a 2-lane [[shotgun]] instead of a 4-lane shotgun.<ref>{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=61666#p61666|title=Re: Building a reverse caber-tosser|author=Chris Cain|date=July 6, 2018}}</ref> Instead of PULL and DFIRE, one glider stream is used for [[crystal]]lisation and decay, and the other glider stream introduces perturbations capable of emitting sideways gliders.

On 13th April 2020, Chris Cain found a universal set of slow salvo operations. This removed the dependence on a [[block-laying switch engine]], allowing a further two gliders to be saved, reducing the total cost to 33 gliders while also greatly simplifying the cleanup process for the synthesis.<ref name="post94346" />

On 21st July 2020, Adam P. Goucher was able to remove a glider by modifying the Sakapuffer synthesis, reducing the total cost to 32 gliders.<ref>{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&t=4415&start=25#p100871|title=Binary slow salvos|author=Adam P. Goucher|date=July 21, 2020}}</ref>

===MathAndCode's 17-glider RCT===

During September 2020, [[MathAndCode]] proposed a major design change to the reverse caber tosser. Firstly, the Sakapuffer is replaced with a cheaper GPSE. Secondly, the circuitry that detects whether the approaching glider is at time 0 or 128 (modulo 256) is eliminated, relying on the fact that a GPSE can perform this task itself. In doing so, the author was able to use 4 GPSEs instead of 6 GPSEs, a Sakapuffer, and a block, saving a total of 15 gliders. The complete pattern was posted on 19th September in a series of forum post edits by MathAndCode, and the universality of the construction arm was demonstrated by [[Adam P. Goucher]] later that day. The result is that universal construction can be performed with 17 gliders: 4 for each of the 4 GPSEs, and a final glider to create the construction arm.<ref name="post104484" /> Because all [[still life]]s up to 17 bits have explicit constructions with no more than 16 gliders, this discovery had the side effect of proving that all constructible still lifes can be synthesized with no more than one glider per bit.

==External links==
*{{cite web|url=http://b3s23life.blogspot.com/2018/06/the-meaning-of-life-is-42-but-cost-of.html|title=The Answer to Life's Ultimate Question is 42 -- But the Cost of Living is Capped at 35|author=Dave Greene|date=June 13, 2018}}
*{{cite web|url=https://b3s23life.blogspot.com/2018/06/fixed-cost-glider-construction-part-ii.html|title=Fixed Cost Glider Construction, Part II|author=Dave Greene|date=June 16, 2018}}
{{LinkLexicon|lex_r.htm#reversecabertosser}}

==References==
<references>
<ref name="post144315">{{LinkForumThread
|format = ref
|title = Re: Binary slow salvos
|p = 144315
|author = Adam P. Goucher
|date = April 16, 2022
}}</ref>
<ref name="post94346">{{LinkForumThread
|format = ref
|title = Re: Binary slow salvos
|p = 94346
|author = Chris Cain
|date = April 13, 2020
}}</ref>
<ref name="post104484">{{LinkForumThread
|format = ref
|title = Re: Binary slow salvos
|p = 104484
|author = Adam P. Goucher
|date = September 19, 2020
}}</ref>
</references>

[[Category:Patterns]]
[[Category:Patterns found in 2018]]
[[Category:Patterns found by Adam P. Goucher]]
[[Category:Patterns found by Dave Greene]]

OTT

2022-04-18T16:24:33Z

Calcyman: Redirected page to Turner

#REDIRECT [[Turner]]

History of Catagolue

2022-04-12T21:28:54Z

Calcyman: /* 2022 */

The following is an overview of the '''history of Adam P. Goucher's [[Catagolue]]'''.

== 2015 ==
* February 20: Catagolue becomes operative.<ref name="post17038" />
* April 24: the B3/S23/C1 census reaches a total of one trillion objects.<ref name="post18988" />
* September 2: the B3/S23/C1 census reaches a total of ten trillion objects.
* September 16: the [[pony express]], the first natural [[infinite-growth pattern]] other than the [[block-laying switch engine]] and [[glider-producing switch engine]] is found in a soup.<ref name="ponyexpress1" /> After being initially rejected by Catagolue, the containing [[haul]] is recomputed and manually committed on September 28.<ref name="ponyexpress2" />
* September 24: Catagolue supports the generation of backups, including daily backups for the C1 symmetry of [[Conway's Game of Life]].<ref name="post22956" />
* October 5: the first instance of [[Phoenix 1]], the last remaining unseen 12-bit object, is found.<ref name="catagolue20151005" />
* October 21: the B3/S23/C1 census reaches a total of twenty trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2015-10-22|title=Census|accessdate=October 22, 2015}}</ref>
* October 27: the B3/S23/C1 census reaches a total of one trillion soups.<ref>{{CiteCatagolue|page=census/b3s23/C1-2015-10-27|title=Census|accessdate=October 27, 2015}}</ref>

== 2016 ==
* January 25: [[praosylen]] releases a hacked version of [[apgsearch]] v0.54 which can search [[isotropic non-totalistic Life-like cellular automata]] rules and upload the results to Catagolue.<ref name="post27013" />
* February 20: the B3/S23/C1 census reaches a total of 50 trillion objects exactly one year after Catagolue was launched.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-02-21|title=Census|accessdate=February 21, 2016}}</ref>
* June 20: the B3/S23/C1 census reaches a total of 100 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-06-21|title=Census|accessdate=June 21, 2016}}</ref>
* July 5: a new {{period|16}} [[oscillator]], [[Rich's p16]], is discovered in the ash of a [[symmetry|D2_+1]] soup.<ref name="post32766" />
* July 6: the B3/S23/C1 census reaches a total of 5 trillion soups.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-07-06|title=Census|accessdate=July 6, 2016}}</ref>
* August 12: a 56-bit [[still life]], the [[cloverleaf interchange]], is found in the B3/S23/C1 census, making it the largest still life to appear naturally.<ref name="post34242" />
* August 22: the B3/S23/C1 census reaches a total of 100,000 distinct objects.<ref name="post34623" />
* September 4: the B3/S23/C1 census reaches a total of 150 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2016-09-04|title=Census|accessdate=September 4, 2016}}</ref>
* September 20: [[Symmetry|D2_+2]] becomes the first [[Conway's Game of Life|B3/S23]] symmetry other than C1 to reach 1 trillion objects.

== 2017 ==
* January 13: Catagolue starts collecting [[slow salvo]] data using the SS pseudo-symmetry.
* March 15: B38/S23/C1 ([[Pedestrian Life]]) becomes the first rule/symmetry other than B3/S23/C1 to reach 10 trillion objects.
* May 16: the B3/S23/C1 census reaches a total of 200 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2017-05-16|title=Census|accessdate=May 16, 2017}}</ref>
* August 19: Catagolue gains the ability to census [[Generations]] and [[Birth on zero neighbours|B0]] rules, fed by [[apgsearch]] 4.0.<ref name="post49184" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/33b54efbf523006ab57c8afda2a1ab3a2c4aa7f0|title=B0 support|author=Adam P. Goucher|date=August 19, 2017|work=GitLab}}</ref>
* August 21: Catagolue gains the ability to census [[Larger than Life]] rules, fed by [[apgsearch]] 4.1.<ref name="post49541" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/4b1f33344697d56db32d4aa91b51f680f29f3aa5|title=Larger than Life|author=Adam P. Goucher|date=August 21, 2017|work=GitLab}}</ref>
* September 10: Catagolue gains official support for [[isotropic non-totalistic Life-like cellular automata|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.2.<ref name="post50771" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/c8399b80b1499eaf25a2813f5ffad447bf1edfaf|title=Supports non-totalistic rules|author=Adam P. Goucher|date=September 10, 2017|work=GitLab}}</ref> Previously, these rules required a hacked version of the original apgsearch [[Golly]] script.

== 2018 ==
* June 3: Catagolue gains the ability to census [[Generations]] variants of [[Larger than Life]] and [[isotropic non-totalistic Life-like cellular automata|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.3.<ref name="post60663" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/f493165b633b22f7f097dfaddd76fb0fc696ab3c|title=LtL Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}</ref><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/def0394386b9a5e6feb87bb76a6ffbb12ebff2a5|title=Isotropic Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}</ref>
* October 28: Catagolue starts collecting data on [[methuselah|long-lived patterns]], fed by [[apgsearch]] 4.54.<ref name="post65133" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/fcef6c005e54e379554b266730b222ffb8849c47|title=Preliminary support for methuselahs|author=Adam P. Goucher|date=October 28, 2018|work=GitLab}}</ref>
* October 29: Catagolue gains the ability to census [[BSFKL]] rules, fed by [[apgsearch]] 4.56.<ref name="post65313" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/d83ac8acd4712347e1a688b3399f880df1c84327|title=BSFKL rulespace|author=Adam P. Goucher|date=October 29, 2018|work=GitLab}}</ref>
* November 7: Catagolue gains the ability to census higher-range totalistic [[Life-like cellular automata]], fed by [[apgsearch]] 4.63.<ref name="post65439" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/662f9a33c9b85b363d84cdb0dfbb14af0914e61c|title=Higher-range outer-totalistic rules|author=Adam P. Goucher|date=November 7, 2018|work=GitLab}}</ref>
* November 29: the B3/S23/C1 census reaches a total of 250 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2018-11-29|title=Census|accessdate=November 29, 2018}}</ref>
* December 1: Catagolue gains the ability to census isotropic [[hexagonal neighborhood]] rules, fed by [[apgsearch]] 4.66; only C1, 1x256, 2x128, 4x64 and 8x32 were initially supported, not higher symmetries, as these were incompatible with the hexagonal neighbourhood.<ref name="post66090" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a3f3f7eb469f0c0d178e510b72cdc108b8ea8cee|title=Hexagonal rules|author=Adam P. Goucher|date=December 1, 2018|work=GitLab}}</ref> Later, support for all [[Symmetry#Hexagonal-grid_and_triangular-grid_symmetries|hexagonal symmetries]] except for C3_3 and D6_3 was added.<ref name="post66627" /><ref name="post66638" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/30a9439c2b0b43422d26229473af6d171e01dfec|title=Support two more hexagonal symmetries|author=Adam P. Goucher|date=December 19, 2018|work=GitLab}}</ref><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/9620c694f6a320553fb5c299abcac57557ca5341|title=More hexagonal symmetries|author=Adam P. Goucher|date=December 20, 2018|work=GitLab}}</ref>
* December 11: the first instance of the [[heptapole]], the last remaining unseen 13-bit object, is found.<ref name="post66400" />
* December 11: Catagolue starts collecting data on [[diehard]]s, fed by [[apgsearch]] 4.69.<ref name="post66402" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/15e3f0e6f4dc07a2c62559191b729bf94c2d75cb|title=Detect messless methuselahs|author=Adam P. Goucher|date=December 11, 2018|work=GitLab}}</ref>
* December 12: Catagolue supports [https://en.wikipedia.org/wiki/Gzip gzip] compression of certain tabulations.<ref name="post66417" />
* December 26: The source code for Catagolue is released under an MIT licence.<ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68c3581955aefc96763aa604ab05a7128ae8be37|title=MIT licence|author=Adam P. Goucher|date=December 26, 2018|work=GitLab}}</ref>

== 2019 ==
* January 3: the B3/S23/C1 census reaches a total of 300 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-01-03|title=Census|accessdate=January 3, 2019}}</ref>
* January 9: Catagolue gains the ability to census [[Golly]] rule tables and rule trees, fed by [[apgsearch]] 4.8.<ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/689faba78cda80a91617c615a4644790f5ee75dc|title=Support for custom rules and neighbourhoods|author=Adam P. Goucher|date=January 9, 2019|work=GitLab}}</ref>
* January 15: Catagolue gains native support for [[Deficient]] and [[Extended Generations]] rules, fed by [[apgsearch]] 4.83.<ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a5812bb36a3f2d40b7fbf630f90546bbf1bf1fe4|title=Native support for Extended Generations and Deficient rules courtesy of M. I. Wright|author=Adam P. Goucher|date=January 15, 2019|work=GitLab}}</ref>
* February 12: a [[Schick engine]] first appears naturally in an asymmetric soup.<ref name="post70479" />
* March 3: a [[figure eight on pentadecathlon]] first appears in an asymmetric [[soup]],<ref name="post72438" /> making it the highest period oscillator to have occurred [[natural]]ly.<ref>{{citeCatagolueStats|March 3, 2019}}</ref>
* March 24: Catagolue starts collecting data on soups with large final populations, fed by [[apgsearch]] 5.03.<ref name="post73826" /><ref>{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7|title=Log soups with final population exceeding 3000 -- thanks to 'testitemqlstudop' for the suggestion|author=Adam P. Goucher|date=March 24, 2019|work=GitLab}}</ref>
* March 27: the first instance of long4 [[melusine]], the last remaining unseen 14-bit [[still life]], is found.<ref name="post74007" />
* March 31: the B3/S23/C1 census reaches a total of one million submitted hauls.<ref name="message561987442719064076" /><ref>{{CiteCatagolue|page=census/b3s23/C1-2019-04-01|title=Census|accessdate=April 1, 2019}}</ref>
* April 12: Catagolue starts collecting data about glider syntheses from [[Shinjuku]].<ref name="message566317445766316042" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/f3b4ab346fc7e66f5626f754544ae31f72c83ee2|title=Potentially allow Catagolue to receive syntheses|author=Adam P. Goucher|date=April 12, 2019|work=GitLab}}</ref>
* April 14: the B3/S23/C1 census reaches a total of 400 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-04-14|title=Census|accessdate=April 14, 2019}}</ref><ref name="message566975532382552064" />
* May 1: the [[glider synthesis]] submission box is added, allowing users to submit syntheses which are automatically parsed during the Catagolue update process.<ref name="message573177771186978822" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/e7f249b12652f0f5796bc48c0ee0f0c49f5c0ee3|title=RLE post box|author=Adam P. Goucher|date=May 1, 2019|work=GitLab}}</ref>
* May 12: a GPU-powered apgsearch instance finds a natural [[sidecar]] in an asymmetric 16×16 soup.<ref name="post76084" />
* September 9: the 17-in-17 [[glider synthesis]] project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post82560" />
* October 9: the 18-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post83979" />
* December 18: the B3/S23/C1 census reaches a total of 500 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2019-12-18|title=Census|accessdate=December 18, 2019}}</ref>
* December 27: [https://catagolue.hatsya.com/census/b2c3aei4ajnr5acns2-ci3-ck4in5jkq6c7c/C1 X3VI] becomes the first [[isotropic non-totalistic]] rule to officially reach 1 trillion objects.<ref name="message660263777786265619" />

== 2020 ==
* February 8: the 19-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post89061" />
* February 9: [[Rob's p16]] appears in the B3/S23/G1 census, marking Catagolue's first discovery of a new oscillator [[rotor]] from asymmetric soup as well as the first period 16 oscillator arising from asymmetry.<ref>{{CiteCatagolue|page=haul/b3s23/G1/477c29ce65dab871f2889810e344bece|title=Haul|accessdate=February 10, 2020}}</ref><ref name="post89261" />
* February 11: the B3/S23/C1 census reaches a total of 600 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-02-11|title=Census|accessdate=February 11, 2020}}</ref>
* April 1: a natural [[loafer]] emerges from a soup in the B3/S23/C1 census submitted by John Goodman.<ref name="post93011" />
* April 2: the B3/S23/C1 census reaches a total of 700 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-04-02|title=Census|accessdate=April 2, 2020}}</ref><ref name="message695270579305054259" />
* April 8: the [https://catagolue.hatsya.com/census/b3s23/asymmetric-soups <tt>asymmetric-soups</tt>] census is created, combining the results from B3/S23/C1 and B3/S23/G1.<ref name="post93707" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/fcf65f9ed0b3703535c5c679c70f4456f3434c62|title=Combine C1 and G1 censuses each day|author=Adam P. Goucher|date=April 8, 2020|work=GitLab}}</ref>
* May 4: B3/S23/G1 overtakes B3/S23/C1 in terms of the number of soups investigated.<ref name="message706964359548764201" />
* June 16: the B3/S23/C1 census reaches a total of 800 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-06-16|title=Census|accessdate=June 16, 2020}}</ref>
* November 14: the B3/S23/C1 census reaches a total of 900 trillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2020-11-14|title=Census|accessdate=November 14, 2020}}</ref>
* December 20 or earlier: Catagolue becomes capable of censusing isotropic non-totalistic rules with B0, as well as isotropic non-totalistic rules run on the exploded Moore neighbourhoods FC2E1 and FC1E3 and the range-2 von Neumann neighbourhood.

== 2021 ==
* January 25: the B3/S23/C1 census reaches a total of one quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2021-01-25|title=Census|accessdate=January 25, 2021}}</ref><ref name="post120338" />
* March 12: the 20-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.<ref name="post125261" />
* June 17: Catagolue starts collecting data about the smallest known [[glider gun]]s (by bounding box) of a given period, in the [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/gun <tt>gun</tt>] tabulation of <tt>synthesis-costs</tt>.<ref name="message855191956900937748" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68648f65528707211b4611744f3d23efe6f04863|title=Initial attempt at support for glider guns|author=Adam P. Goucher|date=June 17, 2021|work=GitLab}}</ref> The next day, a second [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/guntrue <tt>guntrue</tt>] tabulation was added, listing only the smallest [[true period]] guns.<ref name="message855435983386312734" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/0f9a93b8406ff10da4d9bd67c0d1c0b1e5bcab8d|title=True-period gun collection|author=Adam P. Goucher|date=June 18, 2021|work=GitLab}}</ref>
* August 4: An [[RLE]]-to-[[apgcode]] box is added to the [https://catagolue.hatsya.com/object <tt>/object</tt>] page.<ref name="post134471" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/9429184f6a6aba9c0463cdf15c86ab9dadfbdf05|title=Identify pattern box|author=Adam P. Goucher|date=August 4, 2021|work=GitLab}}</ref>
* August 24: Catagolue's census tabulation system is upgraded, allowing for individual tabulations to reach an uncompressed size of 32 MB.<ref name="post135260" /><ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/02f616c8cfbd7141ac25349341b19d772d727bc1|title=Preliminary support for large tabulations|author=Adam P. Goucher|date=August 24, 2021|work=GitLab}}</ref>
* October 19: Catagolue begins recognizing patterns with <tt>xg</tt> prefixes as [[glider gun]]s,<ref>{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/2980dd550873aaa43015a7f95516aedca678e9f8|title=Glider guns should be identified as such on object pages|author=Adam P. Goucher|date=October 19, 2021|work=GitLab}}</ref> following the introduction of <tt>xg</tt> in [[lifelib]].<ref>{{cite web|url=https://gitlab.com/apgoucher/lifelib/-/commit/25dfa66d9bacde3c81daa6bd7e9da8c01ff24fc7|title=Introduce xg apgcodes for glider guns|author=Adam P. Goucher|date=October 12, 2021|work=GitLab}}</ref> Support for <tt>xg</tt> in the RLE-to-apgcode box has yet to be added.<ref name="message901879261642780695" />

== 2022 ==
* January 6: apgsearch is set up as a volunteer computing project on [[Charity Engine]], vastly increasing the search rate to several trillion soups per day.<ref name="message928819605491822623" />
* January 18: the B3/S23/C1 census reaches a total of 1.5 quadrillion objects.<ref>{{CiteCatagolue|page=census/b3s23/C1-2022-01-18|title=Census|accessdate=January 18, 2022}}</ref>
* February 11: Charity Engine discovers [[32P21]], then the smallest known {{period|21}} [[oscillator]].<ref name="post141492" />
* February 12: Charity Engine discovers a symmetric soup containing a [[bi-gun]], the second unique gun to have occurred [[semi-naturally]].<ref name="post141568" />
* February 15: Charity Engine discovers a new [[period-30 glider gun]],<ref name="post141655" /> which can be monomerized to only contain a single [[queen bee]].<ref name="post141656" />
* April 12: the B3/S23/C1 census reaches a total of 2 quadrillion objects.

==References==
<references>
<ref name="post17038">{{LinkForumThread
|format = ref
|title = apgsearch v1.0
|p = 17038
|author = Adam P. Goucher
|date = February 20, 2015
}}</ref>
<ref name="post18988">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 18988
|author = Billabob
|date = April 24, 2015
}}</ref>
<ref name="post22956">{{LinkForumThread
|format = ref
|title = Catagolue backups
|p = 22956
|author = Adam P. Goucher
|date = September 24, 2015
}}</ref>
<ref name="ponyexpress1">{{cite web
|url = https://conwaylife.com/forums/viewtopic.php?f=7&t=1784&p=23022#p23022
|title = Re: apgsearch v2.2
|date = 2015-09-27
|author = Apple Bottom
|work = ConwayLife.com forums
|accessdate = 2016-06-30
}}</ref>
<ref name="ponyexpress2">{{cite web
|url = https://conwaylife.com/forums/viewtopic.php?f=7&t=1784&p=23054#p23054
|title = Re: apgsearch v2.2
|date = 2015-09-28
|author = Adam P. Goucher
|work = ConwayLife.com forums
|accessdate = 2016-06-30
}}</ref>
<ref name="catagolue20151005">{{cite web
|url = https://catagolue.hatsya.com/census/b3s23/C1-2015-10-05/
|title = Census (2015-10-05 backup)
|date = 2015-10-05
|author = Adam P. Goucher
|work = Catagolue
|accessdate = 2016-06-29
}}</ref>
<ref name="post27013">{{LinkForumThread
|format = ref
|title = Re: Hacking apgsearch
|p = 27013
|author = praosylen
|date = January 25, 2016
}}</ref>
<ref name="post32766">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 32766
|author = Ivan Fomichev
|date = July 5, 2016
}}</ref>
<ref name="post34242">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 34242
|author = Apple Bottom
|date = August 12, 2016
}}</ref>
<ref name="post34623">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 34623
|author = Apple Bottom
|date = August 22, 2016
}}</ref>
<ref name="post49184">{{LinkForumThread
|format = ref
|title = 345/3/8
|p = 49184
|author = Adam P. Goucher
|date = August 18, 2017
}}</ref>
<ref name="post49541">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 49541
|author = Adam P. Goucher
|date = August 21, 2017
}}</ref>
<ref name="post50771">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.2
|p = 50771
|author = Adam P. Goucher
|date = September 10, 2017
}}</ref>
<ref name="post60663">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 60663
|author = Adam P. Goucher
|date = June 3, 2018
}}</ref>
<ref name="post65133">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65133
|author = Adam P. Goucher
|date = 2018-10-28
}}</ref>
<ref name="post65313">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65313
|author = Apple Bottom
|date = 2018-11-03
}}</ref>
<ref name="post65439">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 65439
|author = Adam P. Goucher
|date = 2018-11-07
}}</ref>
<ref name="post66090">{{LinkForumThread
|format = ref
|title = Re: Non-totalistic hex rules
|p = 66090
|author = Adam P. Goucher
|date = December 1, 2018
}}</ref>
<ref name="post66402">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66402
|author = Ian07
|date = December 11, 2018
}}</ref>
<ref name="post66627">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66627
|author = Adam P. Goucher
|date = December 19, 2018
}}</ref>
<ref name="post66638">{{LinkForumThread
|format = ref
|title = Re: apgsearch v4.0
|p = 66638
|author = Adam P. Goucher
|date = December 20, 2018
}}</ref>
<ref name="post66400">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 66400
|author = Billabob
|date = December 11, 2018
}}</ref>
<ref name="post66417">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 66417
|author = Adam P. Goucher
|date = December 12, 2018
}}</ref>
<ref name="post70479">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 70479
|author = Adam P. Goucher
|date = February 12, 2019
}}</ref>
<ref name="post72438">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 72438
|author = testitemqlstudop
|date = March 3, 2019
}}</ref>
<ref name="post73826">{{LinkForumThread
|format = ref
|title = Re: apgsearch v5.0
|p = 73826
|author = Adam P. Goucher
|date = March 24, 2019
}}</ref>
<ref name="post74007">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 74007
|author = alphazelf
|date = March 27, 2019
}}</ref>
<ref name="message561987442719064076">{{CiteDiscord
|author = Ian07
|date = March 31, 2019
|channel = general-discussion
|id = 561987442719064076
}}</ref>
<ref name="message566317445766316042">{{CiteDiscord
|author = Adam P. Goucher
|date = April 12, 2019
|channel = tools
|id = 566317445766316042
}}</ref>
<ref name="message566975532382552064">{{CiteDiscord
|author = alphazelf
|date = April 14, 2019
|channel = cgol
|id = 566975532382552064
}}</ref>
<ref name="message573177771186978822">{{CiteDiscord
|author = Adam P. Goucher
|date = May 1, 2019
|channel = cgol
|id = 573177771186978822
}}</ref>
<ref name="post76084">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 76084
|author = Ian07
|date = May 12, 2019
}}</ref>
<ref name="post82560">{{LinkForumThread
|format = ref
|title = Re: 17 in 17: Efficient 17-bit synthesis project
|p = 82560
|author = Tanner Jacobi
|date = September 9, 2019
}}</ref>
<ref name="post83979">{{LinkForumThread
|format = ref
|title = Re: 18-bit SL Syntheses (100% Complete!)
|p = 83979
|author = Ian07
|date = October 9, 2019
}}</ref>
<ref name="message660263777786265619">{{CiteDiscord
|author = 77topaz
|date = December 27, 2019
|channel = naturalistic
|id = 660263777786265619
}}</ref>
<ref name="post89061">{{LinkForumThread
|format = ref
|title = Re: 19-bit still life syntheses
|p = 89061
|author = Martin Grant
|date = February 8, 2020
}}</ref>
<ref name="post89261">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 89261
|author = Tanner Jacobi
|date = February 10, 2020
}}</ref>
<ref name="post93011">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 93011
|author = Billabob
|date = April 1, 2020
}}</ref>
<ref name="message695270579305054259">{{CiteDiscord
|author = testitemqlstudop
|date = April 2, 2020
|channel = general-discussion
|id = 695270579305054259
}}</ref>
<ref name="post93707">{{LinkForumThread
|format = ref
|title = Re: Catagolue Suggestions Thread
|p = 93707
|author = Adam P. Goucher
|date = April 8, 2020
}}</ref>
<ref name="message706964359548764201">{{CiteDiscord
|author = Adam P. Goucher
|date = May 4, 2020
|channel = general-discussion
|id = 706964359548764201
}}</ref>
<ref name="post120338">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 120338
|author = LaundryPizza03
|date = January 25, 2021
}}</ref>
<ref name="message855191956900937748">{{CiteDiscord
|author = Adam P. Goucher
|date = June 17, 2021
|channel = cgol
|id = 855191956900937748
}}</ref>
<ref name="message855435983386312734">{{CiteDiscord
|author = Adam P. Goucher
|date = June 18, 2021
|channel = cgol
|id = 855435983386312734
}}</ref>
<ref name="post134471">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 134471
|author = Adam P. Goucher
|date = August 4, 2021
}}</ref>
<ref name="post135260">{{LinkForumThread
|format = ref
|title = Re: Catagolue Discussion Thread
|p = 135260
|author = Adam P. Goucher
|date = August 24, 2021
}}</ref>
<ref name="post125261">{{LinkForumThread
|format = ref
|title = Re: 20-bit still life syntheses
|p = 125261
|author = Alex Greason
|date = March 12, 2021
}}</ref>
<ref name="message901879261642780695">{{CiteDiscord
|author = Adam P. Goucher
|date = October 24, 2021
|channel = cgol
|id = 901879261642780695
}}</ref>
<ref name="message928819605491822623">{{CiteDiscord
|author = testitemqlstudop
|date = January 6, 2022
|channel = tools
|id = 928819605491822623
}}</ref>
<ref name="post141492">{{LinkForumThread
|format = ref
|title = Re: Oscillator Discussion Thread
|p = 141492
|author = David Raucci
|date = February 11, 2022
}}</ref>
<ref name="post141568">{{LinkForumThread
|format = ref
|title = Re: Soup search results
|p = 141568
|author = dani
|date = February 12, 2022
}}</ref>
<ref name="post141655">{{LinkForumThread
|format = ref
|p = 141655
|title = Re: Soup search results
|author = dani
|date = February 15, 2022
}}</ref>
<ref name="post141656">{{LinkForumThread
|format = ref
|p = 141656
|title = Re: Gun Discussion Thread
|author = dani
|date = February 15, 2022
}}</ref>
</references>

{{CatagolueNavbox}}

[[Category:Censuses|Catagolue, History of]]

Rocknlol

2022-03-23T23:45:46Z

Calcyman: Include appropriate punctuation at the end of each \item

{{Person|name=Rocknlol}}
'''Rocknlol''' is a [[:Category:People|Life enthusiast]] who contributes on the forums as '''Rocknlol'''. Noteworthy discoveries include the following:

* September 2021: new patterns based on predecessors which separately broke the records for smallest population (209) and bounding box (33x27) of [[Space nonfiller]];
* October 2021: a one-generation predecessor to [[52513M]] which was the longest-lasting known non-infinitely-growing methuselah within a 16×16 square;
* November 2021: several new patterns which separately broke the records for smallest population (151) and bounding box (23×23) of known [[Max]] predecessors;
* March 2022: a 23×15 predecessor to [[22-cell quadratic growth]], which holds the record for the smallest known quadratic growth in terms of bounding box.