Breeder (cellular automaton)

In cellular automata such as Conway's Game of Life, a breeder is a pattern that exhibits quadratic growth, by generating multiple copies of a secondary pattern, each of which then generates multiple copies of a tertiary pattern.[1]


Breeders can be classed by the relative motion of the patterns. The classes are denoted by three-letter codes, which denote whether the primary, secondary and tertiary elements respectively are moving (M) or stationary (S). The four basic types are:[1]

  • SMM – A gun that fires out rakes.
  • MSM – A puffer that leaves guns in its wake.
  • MMS – A rake that fires out puffers.
  • MMM – A rake that fires out more rakes, such that there are no stationary elements.

A spacefiller (which also undergoes quadratic growth) may be thought of as a fifth class of breeder. However it differs from a true breeder in that it expands a single island of cells, rather than creating independent objects.


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