Spacefiller

This article is about cellular automata. For tessellations of Euclidean space by polyhedra, see Honeycomb (geometry).

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 life pattern that grows quadratically by filling space with 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).