Replicators: B0136/S123

In B0136/S123, a 3x2 block forms a 9c/30 replicator:

B0136/S123 9c/30 replicator

Replicators can cancel each other around corners, forming large square replicator-based oscillators.

B0136/S123
replicator-based oscillator

With random initial conditions, this rule quickly settles down to large regions of live cells on even generations and dead cells on odd generations, or vice versa, with only a sparse scattering of oscillators and replicators within each region. With an initial density of approximately 45% live cells, the regions of both phases are equally balanced and have gradually annealing phase boundaries; for other densities one phase or the other eventually takes over the whole space. However, the chaotic phase boundaries occasionally create new replicators which grow and interact to eventually fill space with a dense chaotic pattern in place of its initial stability.


Replicators -- Cellular Automata -- D. Eppstein -- UCI Inf. & Comp. Sci.