OCA:Star Wars: Difference between revisions

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{{Rule
{{Rule
|name            = Star Wars
|name            = Star Wars
|imgname        = star_wars
|char            = Explosive
|char            = Explosive
|b              = 2
|b              = 2
|s              = 345
|s              = 345
|g              = 4
|g              = 4
}}
}}{{about|the [[Generations]] rule|the outer-totalistic rule|OCA:Star Trek}}{{stub}}
'''Star Wars''', also known as '''MirekGro''', is a [[Generations]] rule devised by [[Mirek Wójtowicz]] in March 1999. Named after its behaviour that resembles deep space battle scenes, the rule can be described as follows:
'''Star Wars''', also known as '''MirekGro''', is a [[Generations]] rule devised by [[Mirek Wójtowicz]] in March 1999. In this rule, a state-0 cell will become state 1 {{iff}} it has two state-1 neighbours. A state-1 cell does not change if it has 3, 4 or 5 state-1 neighbours, otherwise it will enter state 2 next tick and then state 3 before dying.
 
Named after its behaviour that resembles deep space battle scenes, the rule can be described as follows:


{{Cquote|author=[[John Elliott]]|text=StarWars is also an interesting rule from the low-investment standpoint. In particular, it is notable for the abundance, intricacy, and variety of its naturally-occurring glider guns. In general when running "[[soup|au naturel]]" StarWars is active to a degree almost reminiscent of [[OCA:Brian's Brain|Brain]], with the distinction that it likes to build fixed lego-like skeletal structures. In some orbits this latter penchant reaches its zenith, and we get large universe-spanning "shells" possessing an intricate radiate geometry.}}
{{Cquote|author=[[John Elliott]]|text=StarWars is also an interesting rule from the low-investment standpoint. In particular, it is notable for the abundance, intricacy, and variety of its naturally-occurring glider guns. In general when running "[[soup|au naturel]]" StarWars is active to a degree almost reminiscent of [[OCA:Brian's Brain|Brain]], with the distinction that it likes to build fixed lego-like skeletal structures. In some orbits this latter penchant reaches its zenith, and we get large universe-spanning "shells" possessing an intricate radiate geometry.}}


A collection of patterns in Star Wars rule is in [[Mirek's Cellebration]]. The rule can also run in modern simulators (e.g. [[golly]] and [[LifeViewer]]) that support Generations rules.
A collection of [[pattern]]s in Star Wars rule is in [[Mirek's Cellebration]]. The rule can also run in modern simulators (e.g. [[Golly]] and [[LifeViewer]]) that support Generations rules.
 
==Patterns==
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57.BA.A2CA.B.3AC3A$54.3C.A3.B2.3A.AC3A$54.BAB9.AC.AB.A$55.A7$24.CBA$
25.CBA$6.CBA12.C.AB2.CBA15.CBA$3.BC.A.CBA11.B2.CBA.CBA14.CBA14.CBA$2.
C2.BC.A.CBA10.CBA4.CBA9.C.AB2.CBA11.B2.CBA$3.B.A.CBA.CBA17.CBA9.B2.CB
A.CBA8.C.AB2.CBA$CB2.CBA.CBA.CBA17.CBA9.CBA4.CBA11.CBA.CBA$2.CBA.CBA.
CBA.CBA16.CBA16.CBA9.CBA3.CBA$15.CBA16.CBA16.CBA16.CBA$15.CBA16.CBA
16.CBA16.CBA$2.CBA.CBA.CBA.CBA16.CBA16.CBA9.CBA3.CBA$CB2.CBA.CBA.CBA
17.CBA9.CBA4.CBA11.CBA.CBA$3.B.A.CBA.CBA17.CBA9.B2.CBA.CBA8.C.AB2.CBA
$2.C2.BC.A.CBA10.CBA4.CBA9.C.AB2.CBA11.B2.CBA$3.BC.A.CBA11.B2.CBA.CBA
14.CBA14.CBA$6.CBA12.C.AB2.CBA15.CBA$25.CBA$24.CBA!
|viewerconfig = #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 4 ]]
|position    = center
|caption      = Example spaceships in Star Wars (Mirek Wójtowicz, May 1999)
|style        = width:300px;
}}}}
{{gallery bottom}}
 
===Still lifes===
 
[[Still life|Still lifes]] of population 5, 8, 10, 12 and above exists. The only 5-cell still life is the X-[[pentomino]], or '''cross''', which is a common extendable segment in larger still lifes.
 
A group of still lifes in the shape of rectangular boxes are invincible from inside, limiting the evolution similar to a [[finite plane]]; for a {{times|''m''|''n''}} plane the exterior has a [[bounding box]] of {{times|(''m'' + 4)|(''n'' + 4)}}. An example with {{eq|''m''|''n''|16}} is shown above at lower-right corner.
 
===Oscillators===
 
Due to the two dying states, [[oscillator]]s of period 2 and 3 are impossible.
 
Many oscillators consist of one or more lightspeed [[signal]]s, with a leading state-1 cell each, that are running on the surface of the stator. These oscillators are referred to as '''railroads''' because they look like trains running on railways. The mechanism provides at least one specimen for every period {{nowrap|''p'' ≥ 4}}. Specifically, jointing ''q'' copies of the X-pentomino orthogonally will give a still life with circumference {{nowrap|6''q'' + 6}} cells (which has exactly one state-1 cell each in their [[Moore neighbourhood]]s). If {{nowrap|6''q'' + 6 {{=}} ''kp''}} for some integer ''k'', then ''k'' copies of the signal can be put in the circumference evenly to yield a period-''p'' oscillator. The period-7 example is constructed accordingly.
 
Due to the abundance of chaotic puffers, [[billiard table]] oscillators are relatively common in this rule.
 
===Spaceships===


==[[Pattern]]s==
Most of the [[spaceship]]s in Star Wars are at [[c orthogonal]], thus are also referred to as photons.  
===[[Still life]]s===
The structure is extensible to various degrees. On March 21, 2021, [[Rocknlol]] discovered a [[c/6 diagonal]] elementary spaceship<ref name="post126427" /> which [[Dets65]] found to be extensible.<ref name="post126726" />
Still lives of population 5, 8, 10, 12 and above exists. The only 5-cell still life is the X-[[pentomino]], or '''cross''', which is a common extendable segment in larger still lives. Some octagonal (or rectangular/diamond-shaped in degenerate cases) still-life boxes are invincible from inside; they can limit the evolution similar to a [[bounded grid]].
{{gallery top}}
<example patterns>
{{gallery item|{{EmbedViewer
===[[Oscillator]]s===
|rle          = x = 43, y = 48, rule = 345/2/4
Due to the two dying states, oscillators of period 2 and 3 are impossible. All periods above 4 can be achieved. Many oscillators consists of one or more lightspeed signals running on the surface of the stator.<incomplete>
2.ABC$2.A2.A$.6A.A$2.A3.2A.B$A.A4.2A.C$B2A5.2A$C.A5.A$2.A5.A4.CBA$.
===[[Spaceship]]s===
10A3.A25.CB$2.A2.A2.A.B2.3A23.2A.A$.ABC3.ABC4.A25.3A$13.ABC23.BA.B$
The spaceships in Star Wars are all at [[c orthogonal]], and thus are also referred to as photons. <incomplete>
39.A.C$6.A4.A6.A$5.15A$6.A2.A2.A2.A2.A9$15.C$14.A.B$13.4A$12.A.A$12.B
===[[Linear growth]] patterns===
.A$12.C3A$14.A$14.A.C$4.ABC6.3AB$2.A2.A8.A.A$.6A5.A.A$2.A3.2A4.B3A$2.
[[Laser]]s firing the smallest photon exist at all periods above 4. <incomplete>
A4.2A3.C.A24.CBA$.2A5.3A3.A25.A$A.A5.A.B2.3AC22.3A$B.A5.A.C3.A.B21.B
===[[Signal]] [[circuit]]s===
2A.A$C9A4.A.A23.CB$2.A2.A2.A3.4A$4.ABC5.B.A$11.2AC$11.AB$6.A4.A6.A$5.
15A$6.A2.A2.A2.A2.A!
|viewerconfig = #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 6 ]]
|position    = center
|caption      = Guns of period 4, 5 (right), 6 and 7 (left) in Star Wars ([[Stephen Silver]], May 1999)
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 107, y = 47, rule = 345/2/4
CBA4.A18.2C27.A21.A19.A$CBA3.3A45.3A19.3A17.3A4.A$7.A12.CBA4.A25.2A.
2A12.CBA4.A2.C9.CBA4.A4.3A.C$20.CBA3.3A25.3A13.CBA4.A2.C9.CBA10.A2.C$
27.A28.A19.3A$55.3A19.A$31.A21.C2.A$30.3A20.C$31.A18.CBA$50.CBA21$CBA
3.2C30.2C17.A$CBA53.3A$7.A22.CBA6.A17.2A.A$6.3A21.CBA5.3A16.A.3A$7.A
31.A17.2A.A$50.CBA3.3A$11.A38.CBA4.A6.A$10.3A50.3A.C$11.A26.2A24.A2.C
$16.ABC19.2B$11.2C3.ABC19.2C4$55.2A$55.2B$55.2C!
|viewerconfig = #C [[ THEME Generations ZOOM 6 WIDTH 720 HEIGHT 560 ]]
|position    = center
|caption      = Simple photon conduits in Star Wars, with state-3 cells marking output location. Top, left to right: [[eater]], 90-degree [[reflector]], 180-degree reflector, 3-tick delay, 2-tick delay. Bottom: XOR gate with two outputs, AND gate, OR gate
|style        = width:300px;
}}}}
{{gallery bottom}}
 
===Linear growth patterns===
 
[[Gun]]s (or rather, [[laser]]s) firing the smallest photon exist at all periods above 4, which can be constructed by connecting two still lifes to the aforementioned adjustable oscillator.
 
Usually, abundant [[linear growth]] patterns including guns, [[puffer]]s, [[rake]]s, [[wickstretcher]]s and [[wavestretcher]]s emerge from sufficiently large soups.
 
===Signal circuits===
 
Technologies based on the smallest photon have been extensively developed. For instance, shooting the photon at the edge of a still life can split it into two lightspeed signals, which travel on the edge and merge into a photon elsewhere, or are turned into other [[signal]]s. A small portion of photon conduits is shown above.
 
Further constructions are possible, for instance an adder<ref name="post18189" /> and a {{rl|Rule 110}} emulator.<ref name="post111232" />


===Miscellaneous===
===Miscellaneous===
The [[domino]] in this rule expands in a diamond shape, while the [[block]] grows quadratically generating wickstretchers. Diagonal lines of at least 6 cells in length evolve into a family of p5 oscillators.
==References==
<references>
<ref name="post18189">{{LinkForumThread
|format    = ref
|p          = 18189
|title      = An Amsterdam Adder
|author    = Jeremy Tan
|date      = March 22, 2015
}}</ref>
<ref name="post111232">{{LinkForumThread
|format    = ref
|p          = 111232
|title      = Re: Star Wars Rule
|author    = FWKnightship
|date      = November 18, 2020
}}</ref>
<ref name="post126427">{{LinkForumThread
|format    = ref
|p          = 126427
|title      = Re: Star Wars Rule
|author    = Rocknlol
|date      = March 21, 2021
}}</ref>
<ref name="post126726">{{LinkForumThread
|format    = ref
|p          = 126726
|title      = Re: Star Wars Rule
|author    = Dets65
|date      = March 24, 2021
}}</ref>
</references>


==External links==
==External links==
{{LinkForumThread|f=11|t=507|title=Star Wars Rule}}
* {{LinkForumThread|f=11|t=507|title=Star Wars Rule}}
{{LinkCatagolueRule|g4b2s345|rulename=Star Wars}}
* {{LinkCatagolueRule|g4b2s345|rulename=Star Wars}}
* {{LinkMirek|rullex_gene.html#Star%20Wars|title=MCell built-in Generations rules: Star Wars}}
* {{cite web|url=https://cp4space.wordpress.com/2014/03/07/emergence/|title=Emergence|date=March 7, 2014|work=Complex Projective 4-Space|author=Adam P. Goucher}} An article describing the emergence of structures from random soups in Star Wars.

Latest revision as of 07:14, 26 September 2025

Star Wars
x=64, y = 64, rule =345/2/4 ! #C [[ THEME Generations ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
View static image
Rulestring 345/2/4
B2/S345/C4
B2/S345/G4
Character Explosive
This article is about the Generations rule. For the outer-totalistic rule, see OCA:Star Trek.
This article is a stub. You can help LifeWiki by expanding it.

Star Wars, also known as MirekGro, is a Generations rule devised by Mirek Wójtowicz in March 1999. In this rule, a state-0 cell will become state 1 iff it has two state-1 neighbours. A state-1 cell does not change if it has 3, 4 or 5 state-1 neighbours, otherwise it will enter state 2 next tick and then state 3 before dying.

Named after its behaviour that resembles deep space battle scenes, the rule can be described as follows:

A collection of patterns in Star Wars rule is in Mirek's Cellebration. The rule can also run in modern simulators (e.g. Golly and LifeViewer) that support Generations rules.

Patterns

x = 100, y = 79, rule = 345/2/4 98.A$97.3A$98.A$98.A$98.2A$98.A$2.A5.A5.A5.A10.A5.A5.A11.A2.A2.A6.A2. A2.A6.A10.A5.A$.3A3.3A3.3A3.3A8.3A3.3A3.3A9.9A4.9A4.3A8.3A4.2A$2.A5.A 5.A5.A10.A5.A5.A11.A5.A6.A5.A6.A10.A5.A$8.A5.A5.A10.A5.A5.A11.A5.A6.A 5.A6.A10.A5.A$7.3A3.3A3.3A9.2A4.2A4.2A9.2A5.2A4.2A5.2A4.2A9.2A5.2A$8. A5.A5.A10.A5.A5.A11.A5.A6.2A4.A6.2A9.2A4.A$14.A5.A10.A5.A5.A11.A5.A7. 2A3.A7.2A3.A5.2A3.A$13.3A3.3A8.3A4.2A4.2A9.9A7.6A7.6A5.6A$14.A5.A10.A 5.A5.A11.A2.A2.A9.A2.A9.A2.A7.A2.A$20.A16.A5.A$19.3A14.3A4.2A$20.A16. A5.A$43.A$42.3A$43.A4$61.A2.A2.A$60.9A$59.2A3.A3.2A$2.A2.A6.A2.A6.A2. A6.A2.A2.A6.A2.A2.A6.2A9.2A$.6A4.6A4.6A4.9A4.9A4.2A11.2A$2.A2.A6.A2.A 6.A2.A6.A2.A2.A6.2A3.2A6.A11.A$2.A2.A6.A2.A6.A2.A6.A2.A2.A6.A5.A6.A 11.A$.6A5.4A5.6A4.9A4.2A5.2A4.3A9.3A$2.A2.A6.A2.A6.A2.A6.A2.A2.A6.A5. A6.A11.A$12.A2.A6.A2.A6.A2.A2.A6.2A3.2A6.A11.A$11.6A4.6A4.9A4.9A4.2A 11.2A$12.A2.A6.A2.A6.A2.A2.A6.A2.A2.A6.2A9.2A$59.2A3.A3.2A$60.9A$61.A 2.A2.A5$2.A4.A7.A11.A$.3A2.3A5.3A9.3A$2.A.2A.A7.A11.A3.A$2.A.2A.A7.3A 9.6A39.A20.A$.3A2.3A5.2A.2A6.A.A.A.A39.24A$2.A4.A7.3A6.6A42.A.18A.A$ 16.A8.A3.A42.2A18.2A$28.3A41.2A18.2A$29.A42.2A18.2A$72.2A18.2A$72.2A 18.2A$72.2A18.2A$72.2A18.2A$54.A2.A14.2A18.2A$31.A10.A10.6A13.2A18.2A $11.A9.A8.3A8.3A8.2A3.A14.2A18.2A$3.A6.3A7.3A6.2A.2A6.2A.2A6.2A4.A14. 2A18.2A$2.3A4.2A.2A5.2A.2A4.2A.A.2A4.2A.A.2A4.2A5.2A13.2A18.2A$.3A6. 3A5.2A.2A6.2A.2A4.2A.A.2A6.A4.2A14.2A18.2A$2.A8.A7.3A8.3A6.2A.2A7.A3. 2A15.2A18.2A$20.A10.A8.3A7.6A16.2A18.2A$41.A9.A2.A17.2A18.2A$72.2A18. 2A$72.2A18.2A$72.A.18A.A$71.24A$72.A20.A2$2.A11.A9.A11.A10.A11.A$.15A 7.15A8.15A$2A.A.A.A.A.A.A.2A5.2A.A.A.A.A.A.A.2A6.2A.A.A.A.A.A.A.2A$. 2A.A.A.A.A.A.2A5.2A.A.A.A.A.A.A.A.2A4.2A2.A.A.A.A.A.A2.2A$2.13A7.2A.A .A.A.A.A.A.2A6.3A.A.A.A.A.A.3A$3.A9.A9.2A.A.A.A.A.A.2A8.2A.A.A.A.A.A. 2A$24.13A10.13A$25.A9.A12.A9.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 6 ]]
Example still lifes in Star Wars
(click above to open LifeViewer)
x = 181, y = 195, rule = 345/2/4 .A9.A29.A4.A2.A10.ABC7.CBA8.A4.A2.A12.BC$3A7.3A27.3A2.6A10.A9.A8.3A2. 6A10.C.A$.A9.A29.A4.A2.A10.3A7.3A8.A4.A2.A10.B.A.A$.A39.A4.A2.A11.A9. A9.A7.A10.4AB$.2A38.2A2.2A2.2A10.3A7.3A7.2A6.2A11.A2.C$.A39.A4.A2.A 10.2A.2A5.2A.2A6.A7.A12.3A$.A39.A4.A2.A11.3A7.3A7.A7.A12.A.2A.A4.C$. 2A38.2A2.2A2.2A11.A9.A8.2A6.2A10.2A2.2A.A2.A.B$.A39.A4.A2.A11.CBA7.AB C7.A7.A12.A3.8A$.A39.A4.A2.A31.A7.A12.A4.A3.A$.2A38.2A2.2A2.2A30.2A6. 2A10.3A6.C$.A39.A4.A2.A31.A7.A12.A$.A39.A4.A2.A16.ABC2.A9.A7.A$3A37. 3A2.6A11.A3.ABC.3A7.3A5.3A$.A39.A4.A2.A11.3A7.A9.A7.A$60.C.A7.CBA$61. BA14$.A10.B6.A3.A5.A2.A2.A5.A4.A34.A4.A2.A14.ABC$3A7.ACAC4.7A3.9A3.3A 2.3A14.A2.A.C12.3A2.6A11.A2.A$.A8.2B2.B4.A.A.A3.2A2.A2.A.2A3.A4.A14. 6AB13.A4.A2.A11.6A$.A8.ACAC5.A3.A4.A.A.CBA.A4.A4.A13.A.2A.A.A13.A4.A 2.A12.A2.A$2A10.B6.2A.2A4.2A.CBA2.A4.2A3.2A12.B.A18.2A2.2A2.2A$.A17.A 3.A3.2A.CBA.C.2A3.A4.A13.C3A17.A4.A2.A$.A2.A14.A.A.A4.A.BA.CB.A4.A4.A 15.A18.A4.A2.A$6A5.CB5.7A3.3A.CBA.A4.2A3.2A33.2A2.6A$.A2.A5.2A.A5.A3. A3.2A7.2A3.A4.A34.A4.A2.A$4.A6.2A15.9A4.A4.A34.A4.A2.A$4.2A4.BA.C15.A 2.A2.A5.2A3.2A33.2A2.2A2.2A$4.A5.A.CB6.A4.A15.A4.A34.A4.A2.A$4.A14.8A 14.A4.A34.A4.A2.A$3.3A14.A2.A.A14.3A2.3A32.3A2.6A$4.A15.3A2.A15.A4.A 34.A4.A2.A$19.2A2.C.2A$20.A.2B.A$20.A2.A.A$19.8A$20.A4.A11$.A2.A7.CB 27.A4.A2.A12.AB17.A2.A4.A2.A10.AB.A16.C12.C$6A4.B2A.A25.3A2.6A11.A.C 15.6A2.6A7.C2.3A.C$.A2.A6.3A15.C11.A4.A2.A11.3A17.A2.A4.A2.A10.2A.3A$ .A10.A16.B11.A7.A12.A21.A4.A2.A7.A.2A.2A.B15.ABA6.ABA$2A9.CAC15.A11. 2A6.2A33.2A2.2A2.2A6.B2A3.3A14.BCACBA2.ABCACB$.A10.B14.5A9.A7.A34.A4. A2.A8.A.A.2A14.A.A.A.A4.A.A.A.A$.A2.A22.CA.AC9.A4.A2.A31.A2.A4.A2.A7. 6A15.B16AB$6A21.B3.B9.2A2.6A29.6A2.2A2.2A8.A.A2.C14.A.A.A.A2.A.A.A.A$ .A2.A23.BCB10.A4.A2.A31.A2.A4.A2.A8.CABA17.A2.A2.A2.A2.A2.A$4.A23.BCB 10.A4.A34.A7.A2.A28.18A$4.2A12.A8.B3.B9.2A2.2A33.2A6.2A2.2A28.A2.A2.A 2.A2.A2.A$4.A11.ABCBA6.CA.AC9.A4.A34.A7.A2.A$.A2.A6.A5.A.A3.A3.5A9.A 4.A2.A31.A2.A4.A2.A$6A4.15A4.A10.3A2.6A29.6A2.6A$.A2.A6.A2.A2.A2.A2.A 5.B11.A4.A2.A31.A2.A4.A2.A$29.C15$.A2.A7.AB27.A4.A2.A13.A17.A2.A4.A 12.A2.C7.C2.A14.A14.A$6A6.A.C25.3A2.6A11.3A2.A12.6A2.3A10.4A.B5.B.4A 12.3A12.3A$.A2.A6.3A27.A4.A2.A10.3A.5AC11.A2.A4.A10.2A2.A.CA3.AC.A2. 2A12.A14.A$.A8.C.A28.A7.A10.B.3A2.A.B14.A4.A11.A.3A.B3.B.3A.A13.A14.A $2A9.BA28.2A6.2A9.C.A5.A15.2A2.2A11.3A.3A3.3A.3A12.2A14.2A$.A39.A7.A 11.3A20.A4.A10.C2.3A7.3A2.C12.A2.ABC.A2.CBA2.A$.A2.A36.A4.A2.A12.A18. A2.A4.A2.A8.BC.A9.A.CB13.A.ABC.AB2A.CBA.A$6A35.2A2.6A29.6A2.6A8.ABA4. A4.ABA13.2A.ABC.AB2A.CBA.2A$.A2.A36.A4.A2.A31.A2.A4.A2.A15.3A20.A2.AB C.A2.CBA2.A$.A2.A36.A7.A31.A10.A14.2A.2A19.A14.A$2A2.2A35.2A6.2A29.2A 10.2A14.3A19.2A14.2A$.A2.A36.A7.A31.A10.A9.ABA4.A4.ABA14.A14.A$.A2.A 36.A4.A2.A31.A2.A7.A8.BC.A9.A.CB13.A14.A$6A34.3A2.6A29.6A5.3A6.C2.3A 7.3A2.C11.3A12.3A$.A2.A36.A4.A2.A11.B7.B11.A2.A7.A8.3A.3A3.3A.3A13.A 14.A$60.C.A5.A.C30.A.3A.B3.B.3A.A$61.3A3.3A30.2A2.A.CA3.AC.A2.2A$62.A 2.A2.A32.4A.B5.B.4A$61.ABCBCBCBA32.A2.C7.C2.A$64.B.B$65.A10$.A2.A5.C. A28.A4.A26.A7.A2.A4.A2.A38.A2.A18.A2.A$6A4.B4A25.3A2.3A24.A.B5.6A2.6A 36.6A7.C8.6A$.A2.A5.A.A.B26.A4.A16.ABC5.3ACA5.A2.A4.A2.A38.A2.A7.B10. A2.A$4.A7.A.C26.A4.A16.ABC6.A2.B8.A4.A2.A12.BC9.CB14.2A9.C10.2A$4.2A 5.3A27.2A2.2A14.A.A10.C9.2A2.2A2.2A12.A.A5.A.A15.2A14.C5.2A$4.A7.A28. A4.A13.3A21.A4.A2.A10.B.3A.B3.B.3A.B12.2A12.A7.2A$4.A7.A28.A4.A2.A11. 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A.3A.A.B$.A2.A36.A4.A2.A10.4A.A.4A$62.A.B.B.A$63.A.A.A14$.A2.A5.A.A2. A.C23.A4.A2.A31.A2.A4.A2.A8.A2.A71.A2.A$6A4.B6AB22.3A2.6A29.6A2.6A6. 6A33.ABA33.6A$.A2.A5.C.A2.A.A23.A4.A2.A12.AB17.A2.A4.A2.A8.A2.A32.ABC .CBA32.A2.A$.A2.A36.A4.A15.A.C16.A7.A12.2A31.ABC.A.A.CBA31.2A$2A2.2A 35.2A2.2A14.3A16.2A6.2A12.2A29.ABC.A.CBC.A.CBA29.2A$.A2.A36.A4.A13.2A .2A16.A7.A12.2A27.ABC.ABC.ABA.CBA.CBA27.2A$.A2.A36.A4.A2.A11.3A17.A2. A4.A2.A9.2A25.ABC17.CBA25.2A$6A35.2A2.6A11.A17.6A2.6A8.2A25.ABC17.CBA 25.2A$.A2.A36.A4.A2.A31.A2.A4.A2.A9.2A27.ABC.ABC.ABA.CBA.CBA27.2A$4.A 36.A4.A2.A31.A2.A4.A2.A9.2A29.ABC.A.CBC.A.CBA29.2A$4.2A35.2A2.2A2.2A 29.2A2.2A2.2A2.2A8.2A31.ABC.A.A.CBA31.2A$4.A36.A4.A2.A31.A2.A4.A2.A8. A2.A32.ABC.CBA32.A2.A$.A2.A36.A4.A2.A31.A2.A4.A2.A7.6A33.ABA33.6A$6A 34.3A2.6A29.6A2.6A7.A2.A71.A2.A$.A2.A36.A4.A2.A31.A2.A4.A2.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 2 ]]
Example oscillators in Star Wars
(click above to open LifeViewer)
x = 75, y = 108, rule = 345/2/4 35.CBA16.CBA$36.CBA6.CBA7.CBA5.CBA$38.CBA6.CBA6.CBA5.CBA4.CBA$38.CBA 6.CBA6.CBA5.CBA4.CBA$36.CBA6.CBA7.CBA5.CBA$35.CBA16.CBA7$49.CBA17.CBA $47.C.A.CBA8.CBA2.CBA.CBA$49.CBA.CBA6.C.A6.CBA$54.CBA5.C.AB5A$54.CBA 5.C.AB5A$49.CBA.CBA6.C.A6.CBA$47.C.A.CBA8.CBA2.CBA.CBA$49.CBA17.CBA7$ 46.CBA$44.BC.A.A$45.C.AB2A7.CBA$45.C.AB2A5.BC.A.A$45.C.A.A7.C.AB2A6.C BA$45.C.A.A7.C.AB2A3.C.AB.A$45.C.AB2A6.C.A.A7.BC3A$45.C.AB2A6.C.A.A7. BC3A$45.C.A.A7.C.AB2A3.C.AB.A$45.C.A.A7.C.AB2A6.CBA$45.C.AB2A5.BC.A.A $45.C.AB2A7.CBA$44.BC.A.A$46.CBA6$68.CBA$66.BC.A.A$65.C2.BC3A$67.ABC 3A$67.C.A.A$68.CBA9$20.BA25.C.ABC.AB.A$18.BCBC11.A14.ABC.ABC3A6.BC.AB C.A$17.C.A.A3.B2.ACA.B.B11.2C.BC.ABC3A7.C2.A.AB2A$17.BC.C.3A.3A.3AC3A 12.BA.C.A.A10.2B.4A$20.C2A.3A.3A.5A9.ACBC2.B.A.A10.AC.C.A$17.C2.B.B.B .C.C2.A2.A11.2B3.C.AC3A11.B$21.A.A3.B3.C14.AC2.C.ABC3A$19.C30.BC.AB.A $17.CB6$55.A$54.BAB9.AC.AB.A$54.3C.A3.B2.3A.AC3A$57.BA.A2CA.B.3AC3A$ 54.CA.AC2A2.B2.A2.A2.A$54.2B2.A.2A.2A.2A.2A$54.CA.AC2A2.B2.A2.A2.A$ 57.BA.A2CA.B.3AC3A$54.3C.A3.B2.3A.AC3A$54.BAB9.AC.AB.A$55.A7$24.CBA$ 25.CBA$6.CBA12.C.AB2.CBA15.CBA$3.BC.A.CBA11.B2.CBA.CBA14.CBA14.CBA$2. C2.BC.A.CBA10.CBA4.CBA9.C.AB2.CBA11.B2.CBA$3.B.A.CBA.CBA17.CBA9.B2.CB A.CBA8.C.AB2.CBA$CB2.CBA.CBA.CBA17.CBA9.CBA4.CBA11.CBA.CBA$2.CBA.CBA. CBA.CBA16.CBA16.CBA9.CBA3.CBA$15.CBA16.CBA16.CBA16.CBA$15.CBA16.CBA 16.CBA16.CBA$2.CBA.CBA.CBA.CBA16.CBA16.CBA9.CBA3.CBA$CB2.CBA.CBA.CBA 17.CBA9.CBA4.CBA11.CBA.CBA$3.B.A.CBA.CBA17.CBA9.B2.CBA.CBA8.C.AB2.CBA $2.C2.BC.A.CBA10.CBA4.CBA9.C.AB2.CBA11.B2.CBA$3.BC.A.CBA11.B2.CBA.CBA 14.CBA14.CBA$6.CBA12.C.AB2.CBA15.CBA$25.CBA$24.CBA! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 4 ]]
Example spaceships in Star Wars (Mirek Wójtowicz, May 1999)
(click above to open LifeViewer)


Still lifes

Still lifes of population 5, 8, 10, 12 and above exists. The only 5-cell still life is the X-pentomino, or cross, which is a common extendable segment in larger still lifes.

A group of still lifes in the shape of rectangular boxes are invincible from inside, limiting the evolution similar to a finite plane; for a m × n plane the exterior has a bounding box of (m + 4) × (n + 4). An example with m = n = 16 is shown above at lower-right corner.

Oscillators

Due to the two dying states, oscillators of period 2 and 3 are impossible.

Many oscillators consist of one or more lightspeed signals, with a leading state-1 cell each, that are running on the surface of the stator. These oscillators are referred to as railroads because they look like trains running on railways. The mechanism provides at least one specimen for every period p ≥ 4. Specifically, jointing q copies of the X-pentomino orthogonally will give a still life with circumference 6q + 6 cells (which has exactly one state-1 cell each in their Moore neighbourhoods). If 6q + 6 = kp for some integer k, then k copies of the signal can be put in the circumference evenly to yield a period-p oscillator. The period-7 example is constructed accordingly.

Due to the abundance of chaotic puffers, billiard table oscillators are relatively common in this rule.

Spaceships

Most of the spaceships in Star Wars are at c orthogonal, thus are also referred to as photons. The structure is extensible to various degrees. On March 21, 2021, Rocknlol discovered a c/6 diagonal elementary spaceship[1] which Dets65 found to be extensible.[2]

x = 43, y = 48, rule = 345/2/4 2.ABC$2.A2.A$.6A.A$2.A3.2A.B$A.A4.2A.C$B2A5.2A$C.A5.A$2.A5.A4.CBA$. 10A3.A25.CB$2.A2.A2.A.B2.3A23.2A.A$.ABC3.ABC4.A25.3A$13.ABC23.BA.B$ 39.A.C$6.A4.A6.A$5.15A$6.A2.A2.A2.A2.A9$15.C$14.A.B$13.4A$12.A.A$12.B .A$12.C3A$14.A$14.A.C$4.ABC6.3AB$2.A2.A8.A.A$.6A5.A.A$2.A3.2A4.B3A$2. A4.2A3.C.A24.CBA$.2A5.3A3.A25.A$A.A5.A.B2.3AC22.3A$B.A5.A.C3.A.B21.B 2A.A$C9A4.A.A23.CB$2.A2.A2.A3.4A$4.ABC5.B.A$11.2AC$11.AB$6.A4.A6.A$5. 15A$6.A2.A2.A2.A2.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 560 THEME Generations ZOOM 6 ]]
Guns of period 4, 5 (right), 6 and 7 (left) in Star Wars (Stephen Silver, May 1999)
(click above to open LifeViewer)
x = 107, y = 47, rule = 345/2/4 CBA4.A18.2C27.A21.A19.A$CBA3.3A45.3A19.3A17.3A4.A$7.A12.CBA4.A25.2A. 2A12.CBA4.A2.C9.CBA4.A4.3A.C$20.CBA3.3A25.3A13.CBA4.A2.C9.CBA10.A2.C$ 27.A28.A19.3A$55.3A19.A$31.A21.C2.A$30.3A20.C$31.A18.CBA$50.CBA21$CBA 3.2C30.2C17.A$CBA53.3A$7.A22.CBA6.A17.2A.A$6.3A21.CBA5.3A16.A.3A$7.A 31.A17.2A.A$50.CBA3.3A$11.A38.CBA4.A6.A$10.3A50.3A.C$11.A26.2A24.A2.C $16.ABC19.2B$11.2C3.ABC19.2C4$55.2A$55.2B$55.2C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Generations ZOOM 6 WIDTH 720 HEIGHT 560 ]]
Simple photon conduits in Star Wars, with state-3 cells marking output location. Top, left to right: eater, 90-degree reflector, 180-degree reflector, 3-tick delay, 2-tick delay. Bottom: XOR gate with two outputs, AND gate, OR gate
(click above to open LifeViewer)


Linear growth patterns

Guns (or rather, lasers) firing the smallest photon exist at all periods above 4, which can be constructed by connecting two still lifes to the aforementioned adjustable oscillator.

Usually, abundant linear growth patterns including guns, puffers, rakes, wickstretchers and wavestretchers emerge from sufficiently large soups.

Signal circuits

Technologies based on the smallest photon have been extensively developed. For instance, shooting the photon at the edge of a still life can split it into two lightspeed signals, which travel on the edge and merge into a photon elsewhere, or are turned into other signals. A small portion of photon conduits is shown above.

Further constructions are possible, for instance an adder[3] and a Rule 110 emulator.[4]

Miscellaneous

The domino in this rule expands in a diamond shape, while the block grows quadratically generating wickstretchers. Diagonal lines of at least 6 cells in length evolve into a family of p5 oscillators.

References

  1. ↑ Rocknlol (March 21, 2021). Re: Star Wars Rule (discussion thread) at the ConwayLife.com forums
  2. ↑ Dets65 (March 24, 2021). Re: Star Wars Rule (discussion thread) at the ConwayLife.com forums
  3. ↑ Jeremy Tan (March 22, 2015). An Amsterdam Adder (discussion thread) at the ConwayLife.com forums
  4. ↑ FWKnightship (November 18, 2020). Re: Star Wars Rule (discussion thread) at the ConwayLife.com forums
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