How many distinct cellular automata rules are there that use the Moore neighborhood on a two-dimensional Cartesian lattice if we allow three bits (eight states) per site?
2026-02-23 10:16:47.1771841807
Moore neighborhood on a two-dimensional Cartesian lattice
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A rule is a function from the input space (here of size $8^8$) to the output space (which is of size $8$). There's $(8^8)^8 = 2^{24 \cdot 8} = 2^{192}$ such functions.