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Andreas Rejbrands webbplats

The B268/S04567 cellular automaton

Yesterday, I investigated the life-like cellular automaton B268/S04567. This is an automaton in which most patterns explode, although a few still-lifes and oscillators exist. A random soup will, after a large number of generations, produce a black (stationary) pattern of small, irregular cells with common boundaries that fill the entire space. Some of these cells oscillate. This rule also supports a simple four-cell period-1 orthogonal spaceship travelling at the speed of light. Below two such ships collide, creating an explosion:

A collision between two spaceships in B268/S04567.

Somewhere at generation 2500, a periodic state, as described above, is reached. This state has period 1260, and looks roughly like this:

A steady state in B268/S04567.

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