
In
Conway's Game of Life and related
cellular automata, a spacefiller is a pattern that spreads out indefinitely, eventually filling the entire space with a
still life
A still life (plural: still lifes) is a work of art depicting mostly wikt:inanimate, inanimate subject matter, typically commonplace objects which are either natural (food, flowers, dead animals, plants, rocks, shells, etc.) or artificiality, m ...
pattern. It typically consists of three components: stretchers that resemble
spaceships at the four corners of the pattern, a growing boundary region along the edges of the pattern, and the still life in the interior pattern.
It resembles a
breeder
A breeder is a person who selectively breeds carefully selected mates, normally of the same breed to sexually reproduce offspring with specific, consistently replicable qualities and characteristics. This might be as a farmer, agriculturalist, or ...
in that both types of patterns have a
quadratic growth rate in their numbers of live cells, and in both having a three-component architecture. However, in a breeder the moving part of the breeder (corresponding to the stretcher) leaves behind a fixed sequence of
glider gun
In a cellular automaton, a gun is a pattern with a main part that repeats periodically, like an oscillator, and that also periodically emits spaceships. There are then two periods that may be considered: the period of the spaceship output, and ...
s which fill space with
gliders, moving objects (gliders or spaceships) rather than still life patterns. With a spacefiller, unlike a breeder, every point in the space eventually becomes part of the space-filling still life pattern.
References
Cellular automaton patterns
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