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Seeds is a life-like cellular automaton in which only dead cells with exactly two live neighbors will turn into live cells on the next generation. Even though all the living cells die in every generation (turning every pattern into a phoenix), most patterns are still exploding quadratically.
It is obvious that no still lifes can exist in this rule. Known oscillator periods include 2, 3, 4, and 6. The five smallest ones are duoplet (2 cells, p2), shiplet (3 cells, p2), radar (4 cells, p4), lever (4 cells, p4) and anchor (4 cells, p4).
With B2, the Seeds rule allows spaceships to travel at the speed of light. The three smallest ones, known as photons, have a period of 1 and consist of only 4 cells each. Larger lightspeed spaceships with higher periods are also known.
There also exist c/2 and c/5 orthogonal spaceships and c/3 and c/4 diagonal spaceships.
Puffers, Rakes and Breeders
- A collection of patterns for the Seeds rule; collected by Jason Summers, includes patterns found by Stephen Wright, Mirek Wójtowicz, Noam Elkies, Mark Niemiec, Peter Naszvadi, and David Eppstein.