OCA:Snowflakes

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Snowflakes
Snowflakes rule
Rulestring 02ae3eijkq4iz5ar6i7e/2ci3ai4c8
B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
Character Chaotic

Snowflakes is a non-totalistic Life-like cellular automaton that is omniperiodic. It is named by a very common 21 cell still life that has a 2 cell seed:

x=21, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e $4bo$2b5o$2bo3bo$b2obob2o6bobo$2bo3bo$2b5o$4bo!

Patterns

Spaceships

There are two very important small orthogonal spaceships:

x=10, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 6bo2bo$obo3b3o$3o4bo!

The G is c/2, the R is 2c/4. There exist G guns for all possible periods p>9. Also for the R there exist guns for all periods p>9. It is unknown if R guns with a period of 9 and 10 exist.

Next to c/2 orthogonal, known spaceship speeds are 2c/6 orthogonal, 2c/19 orthogonal and 2c/12 diagonal, with smallest examples:

x=41, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e 9b6o10b3o10bo$5bo2b5obo10bobo9b3o$3o6bobobobo9b3o12bo$8bob3obo9bo3bo$ 4b3o2bo2b3o22bo2bo$bo6bobo10bo9bo$8b3o10bo4bo4bo$5bo15bo9bo$23bo5bo$ 26bo!

The latter two ones appeared naturally in C1 soups and have a synthesis from G's. For all spaceship speed there exist puffers and for all known orthogonal speed also rakes.

External links

  • Snowflakes (discussion thread) at the ConwayLife.com forums