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The “life without death” cellular automaton

Since Conway’s original Game of Life is the rule B3/S23, it is only appropriate that B3/S012345678 is named “Life without Death”. The following is a simulation of this cellular automaton on a 400×400 square grid with the topology of the plane (not torus) and an initial, small, random mass of pixels as the centre.

A simulation of the “Life without Death” cellular automaton.

Besides the main, irregular, growth, a number of thin, regular, purely horizontal or vertical growth patterns are seen; these are known as “ladders”.

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