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Home > Garden of Eden pattern

In the study of cellular automata, a Garden of Eden pattern is a configuration that is not reached from any other starting configuration. That is, there is no possible predecessor configuration that evolves into the Garden of Eden configuration.

These configurations were christened as such before Conway's Game of Life, by John Tukey.

1 General consequences

Let some configuration at timestep t be denoted by C_t, and the function (the automaton) f to map the configuration C_t to C_t+1.

A Garden of Eden pattern G_t means that there does not exist any configuration G_t-1 such that f(G_t-1)=G_t. This means that the automaton is not surjective.

Garden of Eden patterns are not unique.

2 External links

• Garden of Eden (Eric Wesstein's Treasure Trove of The Game of Life)

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