OCA:B026/S1: Difference between revisions
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| Line 5: | Line 5: | ||
|b = 026 | |b = 026 | ||
|s = 1 | |s = 1 | ||
|ruleinteger = | |ruleinteger = 1093 | ||
|reversal = B0234568/S013457 | |reversal = B0234568/S013457 | ||
}} | }} | ||
'''B026/S1''' is a [[Life-like cellular automaton]], which explode and make many spaceships and puffers. | '''B026/S1''' is a [[Life-like cellular automaton]], which explode and make many spaceships and puffers. | ||
== | December 19th, [[2020]], [[FWKnightship]] constructed a [[Rule 110]] [[unit cell]] in B026/S1, proving the rule [[Turing-complete]].<ref name="post116378"/> | ||
==Patterns== | |||
===Oscillator=== | ===Oscillator=== | ||
B026/S1 simulates range-2 wolfram | B026/S1 simulates range-2 wolfram [https://www.wolframalpha.com/input?i=wolfram+rule+2166637080 rule 2166637080]<ref name="post145916" />, so it has lots of large period 1D [[oscillator]] and 1D [[#Spaceships and puffers | spaceships]]. | ||
{{ | {{EmbedViewer | ||
|rle=x = 57, y = 98, rule = B026/S1 | |rle=x = 57, y = 98, rule = B026/S1 | ||
9bobobo2$13bo2$9bobobo2$9bo$22bo6bo5bo5b3o$9bobobo13bo6b3o4b3o$35bo5b | 9bobobo2$13bo2$9bobobo2$9bo$22bo6bo5bo5b3o$9bobobo13bo6b3o4b3o$35bo5b | ||
| Line 25: | Line 27: | ||
o! | o! | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]] | |viewerconfig = #C [[ GPS 4 THUMBSIZE 2 THUMBZOOM 4 HEIGHT 500 ]] | ||
|caption = Some low period [[oscillator]]s. | |caption = Some low period [[oscillator]]s. | ||
}} | }} | ||
==Spaceships and puffers== | |||
Known [[spaceship]] [[speed]]s are [[c/3o]], [[c/4o]], [[c/5o]], [[c/6o]], [[c/7o]], [[c/8o]], [[c/12o]], [[c/2d]]<ref group="note">c/2d is possible for B2 and [[strobing rule]]s</ref>, [[c/4d]], [[c/6d]]. | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle=x = 98, y = 37, rule = B026/S1 | |||
52bo$53bo2$55bo$56bo12$15bo42bo$16bo42bo2$18bo40bo$19bo36bo$56bo3bobo | |||
$52bo10bo6$90bo$91bo2$91bo$68bobo10bo$71bo6bo3bo11bobo$97bo$obo18bobo | |||
25bobo26bo12bo$3bo20bo27bo! | |||
|position = center | |||
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 ]] | |||
|caption = Some c/2d [[spaceship]]s. | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle=x = 49, y = 52, rule = B026/S1 | |||
42bobo$40bo6bo$39bob6o$38bob3o2b2o$39b6obobo$39b2o3bobo$37b2obobob3ob | |||
o$44b3o$36bo5b4obo$36bo6b2obo$35b2o5bo2bo$36bo5bo$34b2ob4o$34b3obo$34b | |||
3o13$20bo$21bo$18bo$19bo$16bo$17bo19$o! | |||
|position = center | |||
|viewerconfig = #C [[ HEIGHT 600 WIDTH 800 ]] | |||
|caption = A replicator-based c/4d [[puffer]]. | |||
}}}} | |||
{{gallery bottom}} | |||
{{EmbedViewer | |||
|rle=x = 652, y = 218, rule = B026/S1 | |||
56bob2o2$51bo3b3o96bo$55bob2o90b3o$50b2ob2ob2obo$52b3o3b2o97bo$49bob2o | |||
bo$51b2obo88bo4bo$51b2obobo89b3o7bo$45b2o4b3o3bo87b5o6bo$51bo2b4o82b2o | |||
6bobo5bo$45b2obo3bo87bo6bob4o$45bob3o98bob2o$2bo45b2obo40bo46bo10b2o$ | |||
o42bo4b2o40bo48bo2bo7bo$40bobo101bo$bobo38b2o6bo40bobo47b3o8bo$8bo33b | |||
o3bo51bo42b3obo$7bo89bo40bo3b2o5bo$6bo33bo2b2o51bo39bo11b2o$5bo14bo74b | |||
o15bo33b2o$4bo5bo2bo6bo73bo5b2obo7bo24bo4bo$10bo42bobo73bo$13bo3b2obo | |||
30bo6bo41bo7b2obo20bo2bo2bobo$10b2obo6bo29bob6o42bob2o7bo22b3o$17bo31b | |||
ob3o2b2o50bo23bo2bo$13bo3bob2o29b6obobo40bo2bo4bob2o$13bo36b2o3bobo42b | |||
2obo23bobo2bobobo$48b2obobob3obo64bo$55b3o64bo2bo$47bo5b4obo68bo4bo4b | |||
o$47bo6b2obo69b2o$46b2o5bo2bo71b2o2bo$47bo5bo70bobo$45b2ob4o78bo$45b3o | |||
bo74bobo4bo$45b3o$130bo12$12bo$10bo2$10bobo5bo$17bo20b7o2bobo2b3o2bo2b | |||
o3b3o2bo2bo$16bo$15bo$14bo7bo2b2obo$22bo5bo2$22bo2b2obo2$22bo2bo$22bo | |||
2bob2o6$15bo$13bo2$14bobo$21bo$20bo$19bo$18bo19b2o3b3o2bobobobo2bo2bo | |||
2bo3b7o3b7o2bo2b7o3bo3bo2bo$17bo5b2obo$26bo$23bo$23bob2o2$23bo2bo$23b | |||
2obo4$15bo$13bo2$14bobo$21bo$20bo$19bo18bo3b3o3bo2bo2bo3b7o3b5o2bobo2b | |||
o3bo2bo2bo3b2o2bobobo2b3o2bo2b3o3bo2bo2bo2bo3bo2bobo2bo3b3o3b2o3bo3b7o | |||
3b3o2bo2b9o2bobo2bo3bo3b5o3bo2bobobo2bo2bobo2bo2bo2b3o3b3o3b3o2bobo2b | |||
11o2bo2bo2bo2b3o2bo2b3o2bo2bo3b3o2bobo2b3o3b5o2bobobobobobobobo2b5o3b | |||
5o2bo2bo2bo2b3o2bobo2bo3b3o3b3o3b5o3b5o2bo2b7o3bo2bo2bo2bo2b3o3b5o2bo | |||
2b11o3b3o2bo2b5o3bo$18bo$17bo5b2obo2$26bo$26bo2$26bo$26bo5$15bo$13bo2$ | |||
14bobo$21bo$20bo$19bo$18bo19bo3b3o3bo2bo2bo2bo2b3o3b7o2bobo2b3o2bo2bo | |||
2bo2bo4b7o3bo3bo3b5o2bobo2bo3b5o2bobobobo2b5o3b6o3b5o3bo2bobobobo2bo3b | |||
6o2bobo2bo4bo2bobobo2bo2bobobobo2bo3bo2bobobo2b3o2bobobo2b3o3b3o3b3o2b | |||
o2bo3bo3b3o3bo3bo3b3o2bobobo2bo2bobobo2bo3bo3b3o3b3o3bo2bo2bo3bo2bo2b | |||
o2bo2bo2b10o3b3o2bobo2b2o2bobobo2b3o2bo2bo3b3o3bo3bo2bobo2b11o3b5o2bo | |||
2b15o2bo2b7o3b5o2bobobobobobobo2bo2bo3b3o3b5o2bobo2bo2bobobo2b5o3b3o2b | |||
obo2bo2bo2b6o2bo2bo2bo2bo3b3o2bobobo2b6o3b7o3b7o2bobobobo2b3o3bo2bobo | |||
bo2b2o$17bo5b2obo2$23bo$23bob2o$46bobo2b3o3bobo2b4o2bob3o2bo2b4o3bo3b | |||
o3bob2obo5b2o6bo2b2o2bo2b2obo3b4o2bo4b2o2b2o2bob3obob2o2bo2b3ob3obo10b | |||
o2bob2o4bo4bobobo56bo$23bo2bo18bob125obo2b2obob3ob17obo6b2o2b2ob4obo2b | |||
2ob5ob2o4bo2bo5bob2obo2bo$23b2obo11bo2bob2ob213o2bo$45bob125obo2b2obo | |||
b3ob17obo6b2o2b2ob4obo2b2ob5ob2o4bo2bo5bob2obo2bo$46bobo2b3o3bobo2b4o | |||
2bob3o2bo2b4o3bo3bo3bob2obo5b2o6bo2b2o2bo2b2obo3b4o2bo4b2o2b2o2bob3ob | |||
ob2o2bo2b3ob3obo10bo2bob2o4bo4bobobo56bo7$15bo$13bo24bobo2b5o3b7o2$14b | |||
obo$21bo$20bo$19bo18b3o2bo2bo3bo2bo2bo$18bo$17bo5bob2o2$23bo$23bob2o11b | |||
o2$26bo15b3o2bo2bo3bo2bo2bo$23b2obo$38bo5$38b3o2bo2bo3bo2bo2bo3bo3bo3b | |||
3o3bo2bo2b5o2bobo2b5o3b7o5$38bo3b3o3bo2bo2b5o2bobo2b5o3b7o5$38bo3bo3b | |||
3o2bo2b5o2bobo2b5o3bo2bo2bo5$38bo2bobobo2b5o3bo3bobo2b5o3b7o5$38bo3bo | |||
2bobo2b3o2bo3bobo2b5o3b7o$15bo$13bo2$14bobo$21bo$20bo16bo3b3o3bo2bobo | |||
2bo3bo2b11o2bo2b3o4b2o$19bo$18bo$17bo5bo2bo$23bo$26bo$23b2obo2$26bo$26b | |||
o$38b2obo2b2ob7ob3o2b4obo5bobob4o2bo2bo3bo4bo2b3o$37b62o3b5o$39b71o$40b | |||
obo2b6o2b2obob3o3b4o5b3obo2bo2b2o2b3o2bob2o2bo7bo5$43bo2$40bo2$38bo2$ | |||
41bo2$14bo$12bo2$13bobo$20bo$19bo19bob2o$18bo32b2o4b2o2b4o4b10o6b4o2b | |||
6o2b2o3bobo$17bo21bo3b58obo$16bo5b2obo18b52ob3o2bobo$25bo15b24ob2ob18o | |||
2bobo2b3o3bob2obo$37bo10bobo3bobobo3bo5b2obo5bobobobobo15bobo2bo$22b2o | |||
bo22bobo3bobobo3bo6bobo5bobobobobo17bo$25bo11bo10bobo3bobobo3bo5b2obo | |||
5bobobobobo15bobo2bo$41b24ob2ob18o2bobo2b3o3bob2obo$22b2obo18b52ob3o2b | |||
obo$39bo3b58obo$51b2o4b2o2b4o4b10o6b4o2b6o2b2o3bobo$39bob2o! | |||
|position = center | |||
|viewerconfig = #C [[ THUMBSIZE 2 THUMBZOOM 4.5 HEIGHT 1000 WIDTH 2200 X -100 ]] | |||
|caption = Other [[spaceship]]s. | |||
}} | |||
==Guns== | |||
{{EmbedViewer | |||
|rle=x = 270, y = 217, rule = B026/S1 | |||
119bo7$106bo3$103bo$44bo2$110bo$41bo67bo3$48bo$47bo5$96bo$obobo2bobob | |||
o2$o3bo2bo$34bo$obobo2bobobo2$4bo2bo3bo2$obobo2bobobo9$140bo3$137bo3$ | |||
80bo3$77bo$124bo38$53bo89bo29bo50bo$26bo67bo$93b3o$94bo51bo80bo28bo$249b | |||
o2$81bo5bo$116bo69bo59bo$218bo$90bo128bo$189bo$12bo71bo$85bo75bo$203b | |||
o$63bo2$129bo$130bo$261bo$260bo$25bo46bo50bo80bo$obobo2bobobo14bo25bo | |||
121bo$51bo123bo$4bo6bo114bo80bo$76bo192bo$obobo2bobobo156bo2$4bo2bo258b | |||
o$171bo$obobo2bobobo$25bo$24bo25bo$51bo3$184bo3$13bo13$50bo$23bo24$53b | |||
o$72bo3$75bo16$obobo2bo3bo2$o6bo3bo2$obobo2bobobo2$o3bo6bo2$obobo6bo13b | |||
o9$38bo$39bo3$32bo3$35bo7$48bo! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 THUMBZOOM 4 HEIGHT 800 WIDTH 1400 ]] | |||
|caption = Some [[gun]]s. | |||
}} | |||
==See also== | |||
*{{rl|B017/S01}}, another notable life-like strobing rule. | |||
==Note== | ==Note== | ||
| Line 37: | Line 137: | ||
<references> | <references> | ||
<ref name="post145916">{{LinkForumThread|format = ref|p = 145916 |title = Re: Thread for basic non-CGOL questions|author = Hdjensofjfnen |date = May 24th, 2022 }}</ref> | <ref name="post145916">{{LinkForumThread|format = ref|p = 145916 |title = Re: Thread for basic non-CGOL questions|author = Hdjensofjfnen |date = May 24th, 2022 }}</ref> | ||
<ref name="post116378">{{LinkForumThread|format = ref|p = 116378|title = Re: List of the Turing-complete totalistic life-like CA|author = FWKnightship |date =December 19th, 2020 }}</ref> | |||
</references> | </references> | ||
| Line 43: | Line 144: | ||
* {{LinkForumThread|f=11|t=3053|title=B026/S1}} | * {{LinkForumThread|f=11|t=3053|title=B026/S1}} | ||
* {{LinkCatagolueRule|b026s01}} | * {{LinkCatagolueRule|b026s01}} | ||
* [[List of strobing rules]] | |||
[[Category:Rules without still lives]] | |||
[[Category:Life-like cellular automata]] | |||
[[Category:Strobing rules]] | |||
Latest revision as of 14:29, 25 July 2026
| This article is a stub. You can help LifeWiki by expanding it. |
| B026/S1 | |
| Rulestring | 1/026 B026/S1 |
|---|---|
| Rule integer | 1093 |
| Character | Explosive |
| Black/white reversal | B0234568/S013457 |
B026/S1 is a Life-like cellular automaton, which explode and make many spaceships and puffers.
December 19th, 2020, FWKnightship constructed a Rule 110 unit cell in B026/S1, proving the rule Turing-complete.[1]
Patterns
Oscillator
B026/S1 simulates range-2 wolfram rule 2166637080[2], so it has lots of large period 1D oscillator and 1D spaceships.
| Some low period oscillators. (click above to open LifeViewer) |
Spaceships and puffers
Known spaceship speeds are c/3o, c/4o, c/5o, c/6o, c/7o, c/8o, c/12o, c/2d[note 1], c/4d, c/6d.
| Some c/2d spaceships. (click above to open LifeViewer) |
| A replicator-based c/4d puffer. (click above to open LifeViewer) |
| Other spaceships. (click above to open LifeViewer) |
Guns
| Some guns. (click above to open LifeViewer) |
See also
- B017/S01, another notable life-like strobing rule.
Note
- ↑ c/2d is possible for B2 and strobing rules
References
- ↑ FWKnightship (December 19th, 2020). Re: List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
- ↑ Hdjensofjfnen (May 24th, 2022). Re: Thread for basic non-CGOL questions (discussion thread) at the ConwayLife.com forums
External links
- B026/S1 (discussion thread) at the ConwayLife.com forums
- B026/S1 at Adam P. Goucher's Catagolue
- List of strobing rules