Spacefiller

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Spacefiller showing the moving leading edges and the stationary still life it leaves.
The cell count per generation of the above spacefiller pattern clearly showing the quadratic growth.

A spacefiller is a pattern in the cellular automaton John Conway's Game of Life that grows quadratically by filling space with patterns of cells that remain the same through the cycles (generations,) also called "still life." It can be thought of as a fifth class of breeder in which the primary and secondary patterns move and tertiary patterns are stationary (MMS).[1]

References

  1. "Spacefiller - from Eric Weisstein's Treasure Trove of Life C.A.". 


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