more precise definition of "field"
Posted: December 29th, 2014, 3:02 am
I originally defined a "field" as any non-infinite lattice. However, as that is pretty vague, I've defined a more precise mathematical definition.
The set of fields for a cellular automata F = {N^n x S |0 < N < ∞}, where N is a non-infinite positive integer, n is the dimensionality of the cellular automata, and S is the state for the whole lattice (usually "dead" in life-like cellular automata).
The set of fields for a cellular automata F = {N^n x S |0 < N < ∞}, where N is a non-infinite positive integer, n is the dimensionality of the cellular automata, and S is the state for the whole lattice (usually "dead" in life-like cellular automata).