This class of cellular automata is named for the Game of Life (B3/S23), the most famous cellular automaton, which meets all of Life-like cellular automaton criteria. It is common to refer to it as the "Life family" or to simply use phrases like "similar to Life".
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Rule | Name | Description |
B3/S23 | Life | Highly complex behavior. |
B36/S23 | HighLife | Similar to Life but with a small self-replicating pattern. |
B34/S34 | 34 Life | Was thought to be a stable alternative to Life, until computer simulation found that larger patterns tend to explode. |
B1357/S1357 | Replicator | Edward Fredkin's replicating automaton: every pattern is eventually replaced by multiple copies of itself. |
B2/S | Seeds | Every live cell immediately dies, and many patterns lead to explosive chaotic growth. |
B25/S4 | This rule supports a small self-replicating pattern which, when combined with a small glider pattern, causes the glider to bounce back and forth in a pseudorandom walk. | |
B3/S012345678 | Life without Death | Also known as Inkspot or Flakes. Cells that become alive never die. Can be used to simulate arbitrary Boolean circuits. |
B35678/S5678 | Diamoeba | Forms large diamonds with chaotically fluctuating boundaries. |
B36/S125 | 2x2 | If a pattern is composed of 2x2 blocks, it will continue to evolve in the same form. |
B3678/S34678 | Day & Night | Symmetric under on-off reversal. Has engineered patterns with highly complex behavior. |
B368/S245 | Morley | Named after Stephen Morley; also called Move. Supports very high-period and slow spaceships. |
B4678/S35678 | Anneal | Also called the twisted majority rule. Approximates the curve-shortening flow on the boundaries between live and dead cells. |
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Gosper's Glider Gun | |||||
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