Difference between revisions of "OCA:Snowflakes"
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{{Rule | {{Rule | ||
|name = Snowflakes | |name = Snowflakes | ||
|imgname = | |imgname = Snowflakes | ||
|char = Chaotic | |char = Chaotic | ||
|b = 2ci3ai4c8 | |b = 2ci3ai4c8 | ||
|s = 02ae3eijkq4iz5ar6i7e | |s = 02ae3eijkq4iz5ar6i7e | ||
}} | }} | ||
'''Snowflakes''' is | '''Snowflakes''' is an [[isotropic non-totalistic cellular automaton]] first discovered by users BlinkerSpawn and dani. It is named in reference to a very common 21 cell [[still life]] (the snowflake) that has a 2 cell seed: | ||
It is named in reference to a very common 21 cell [[still life]] (the snowflake) that has a 2 cell seed: | |||
{{EmbedViewer | {{EmbedViewer | ||
Line 16: | Line 15: | ||
==Patterns== | ==Patterns== | ||
===Oscillators=== | |||
The rule is notably [[omniperiodic]] due to a number of 180-degree spaceship reflectors. Here is a collection of [[oscillator]]s with periods under 50: | |||
{{EmbedViewer | |||
|rle = x = 179, y = 222, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e | |||
2$100bo$102bo3bo$66bo8bo25b2o26bo19bo19bo$64b3o6bo25bo13bo17bo35bo$64b | |||
o8b2o33bo21b2o35b2o$39bo27bo37bob2o19bo20bo20bo$33b2o3b3o3b2o62bo28b2o | |||
6bo7bo6b2o$10bo23bo4bo4bo22bo31bo13bo23bo23bo$32bo13bo17bo8b2o26b2o34b | |||
2o6bo7bo6b2o$64b3o6bo28bo3bo21bo20bo20bo$66bo8bo24bo29b2o35b2o$131bo | |||
35bo$129bo19bo19bo10$68b2o29bo11bo$68bo2bo29bo7bo26bo26bo$67b2ob2o28b | |||
2o7b2o27bo22bo$11bo23bo7bo28bo25bo13bo24b2o22b2o$9b3o27bo67b2o26bo28bo | |||
$9bo26bo2bo23bo3bo4bo2bo32bo39bo2bo$11bo27bo67b2o$10b2o23bo7bo28bo25bo | |||
13bo35bo2bo$67b2ob2o28b2o7b2o24bo28bo$68bo2bo29bo7bo27b2o22b2o$68b2o | |||
29bo11bo26bo22bo$136bo26bo10$37bo3bo59bo7bo52bo$34bo4bo4bo58bo3bo52bo$ | |||
36bo5bo31bo25bo9bo49b2o$35b2o2bo2b2o30b3o28bo57bo$5bo4b2o52bo11bo18bo | |||
19bo41b2o$7bo2bo22bo5bo5bo27bo31bo31bo7bo11bo$6b2o4bo22bo7bo22bo37b3o | |||
32bo17b2o$10b3o21b2o7b2o28bo31bo32b2o5bo17bo$10bo28bo24bo11bo18bo19bo | |||
44b2o$37bo3bo32b3o28bo54bo$74bo25bo9bo51bo$103bo3bo$101bo7bo13$37bo29b | |||
o3bo75bo3bo$13bo25bo99bo19bo$11bo26b2o97bo23bo$9bob2o21bo8bo16bo8bo8bo | |||
53bo33bo$40bo58b2o4bo5b2o36bo$35bo30bobobobo27bo10bo23bobo23bobo$7b2ob | |||
o29bo57bo6bo7bo35bo$8bo25bo8bo16bo8bo8bo53bo33bo$6bo31b2o97bo23bo$39bo | |||
99bo19bo$37bo29bo3bo75bo3bo11$30b2o12bo$30bo13b3o$29b2o15bo56bo3bo$33b | |||
o116bo$7bo3bo27bobobo56bo9bo41bo$9bo23bo40bo76b2o$4bo9bo49bo34bo2bo5bo | |||
2bo33bo$6bo5bo20bo37bobo76bo$5b2o2bo2b2o51bo30bo5bo5bo5bo$74bo75bo$9bo | |||
32bo23b2o31bo2bo5bo2bo33bo10bo$67bo83b2o$42bo22bo34bo9bo41bo$9bo22bobo | |||
bo113bo$7bo3bo30bo60bo3bo$29bo15b2o$29b3o13bo$31bo12b2o10$101bo12bo36b | |||
o3bo$35bo31b2o34bo8bo34bo11bo$37bo29bo2bo31b2o8b2o35bo7bo$11bo24b2o31b | |||
2o29bo14bo32b2o7b2o$6bo56bo46b2o41bo$12bo23bo74bo$7bobo22bo3b2o3bo22bo | |||
bo7bo35b2o36b2o3bo3b2o$36bo63bo14bo33bo7bo$6bo56bo38b2o8b2o33bo5bo5bo$ | |||
36b2o31b2o32bo8bo38bo3bo$37bo29bo2bo30bo12bo$35bo31b2o9$71bo$69bo$64bo | |||
4b2o16bo18bo18bo41bo$66bo22bo33bo41bo$36bo28b2o6bo14b2o33b2o40b2o$38bo | |||
47bo19bo19bo41bo$37b2o28bobobo22b2o6bo7bo6b2o44bo2bo$33bo60bo23bo22bo | |||
7bo17bo$5bo5bo53b2o6bo20b2o6bo7bo6b2o24bo19bo2bo$36bobo2bo24bo19bo19bo | |||
19bo15b2o5bo18bo$3bo8bo51bo4b2o17b2o33b2o40b2o$6bobobo22bo35bo19bo33bo | |||
41bo$37b2o32bo15bo18bo18bo41bo$38bo$36bo9$107bo$63bo10bo34bo$65bo6bo | |||
38b2o33bo15bo$64b2o6b2o38bo35bo11bo$8bo53bo12bo36b3o32b2o11b2o$6bo26bo | |||
6bo29b2o31bo10bo30bo17bo$6b2o3bo59bo86b2o$34bobobo31b2o32bo5bobo46bo$ | |||
9bo2bo49bo12bo82b2o$33bo6bo23b2o6b2o29bo10bo30bo17bo$9bo55bo6bo39b3o | |||
32b2o11b2o$63bo10bo37bo35bo11bo$111b2o33bo15bo$109bo$107bo6$68bo3bo$ | |||
70bo2$68bo3bo2$7bo3b2o47bo19bo37bo11bo21bo21bo$9bo2bo19bo29bo15bo37bo | |||
15bo39bo$8b3ob2o20bo6bo19b2o15b2o36b2o13b2o39b2o$33b2o6bo2bo74bo9bo22b | |||
o22bo$12bo28bo23bobobobobobo36b2o26b2o6bo7bo6b2o$45bo48bo7bo9bo27bo23b | |||
o$61b2o15b2o16bo15b2o26b2o6bo7bo6b2o$62bo15bo16b2o5bo16bo9bo22bo22bo$ | |||
60bo19bo35b2o13b2o39b2o$116bo15bo39bo$68bo3bo45bo11bo21bo21bo2$70bo$ | |||
68bo3bo7$136bo30bo$105bo3bo28bo26bo$66bo31bo17bo20b2o26b2o$10bo57bo27b | |||
o21bo16bo32bo$8b3o25bo30b2o22bo15bo15bo26bo2bo$8bo54bo12bo30bo$42bo51b | |||
obo21bobo29bo2bo$31bo32bo3bo4bobo31bo27bo32bo$9bo2bo20bobobobo51bo15bo | |||
15bo13b2o26b2o$8b3o21b2o29bo12bo19bo21bo19bo26bo$67b2o29bo17bo19bo30bo | |||
$68bo36bo3bo$7bo3bo54bo! | |||
|position = center}} | |||
===Spaceships=== | ===Spaceships=== | ||
There are two very important small orthogonal | There are two very important small orthogonal [[spaceship]]s: | ||
{{EmbedViewer | {{EmbedViewer | ||
|rle = x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e | |rle = x = 10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e | ||
Line 38: | Line 88: | ||
==External links== | ==External links== | ||
{{LinkForumThread|f=11|t=3202|title=Snowflakes}} | * {{LinkForumThread|f=11|t=3202|title=Snowflakes}} | ||
{{LinkCatagolueRule|b2ci3ai4c8s02ae3eijkq4iz5ar6i7e}} | * {{LinkCatagolueRule|b2ci3ai4c8s02ae3eijkq4iz5ar6i7e}} | ||
[[Category:Isotropic non-totalistic rules]] |
Latest revision as of 17:14, 10 August 2022
Snowflakes | |
View static image | |
Rulestring | 02ae3eijkq4iz5ar6i7e/2ci3ai4c8 B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e |
---|---|
Character | Chaotic |
Snowflakes is an isotropic non-totalistic cellular automaton first discovered by users BlinkerSpawn and dani. It is named in reference to a very common 21 cell still life (the snowflake) that has a 2 cell seed:
(click above to open LifeViewer) |
Patterns
Oscillators
The rule is notably omniperiodic due to a number of 180-degree spaceship reflectors. Here is a collection of oscillators with periods under 50:
(click above to open LifeViewer) |
Spaceships
There are two very important small orthogonal spaceships:
(click above to open LifeViewer) |
The c/2 is generally labeled as G, and the 2c/4 as R. There exist G guns for all possible periods greater than 11. R guns can exist for periods 9 and above, but no guns have ever been found of periods 9 and 10.
Besides c/2 orthogonal, the only known spaceship speeds are 2c/6 orthogonal, 2c/19 orthogonal and 2c/12 diagonal, with the smallest examples being:
(click above to open LifeViewer) |
The latter two spaceships have since appeared naturally in C1 soups, and have a synthesis from G's. For all known speeds there are puffers, but only the orthogonal speeds have rakes.
A universal constructor is in the works by Goldtiger997 and several other users, which may lead to a very high-period spaceship, much like Life's universal constructor-based spaceships.
External links
- Snowflakes (discussion thread) at the ConwayLife.com forums
- Snowflakes at Adam P. Goucher's Catagolue