In cellular automata, the Moore neighborhood comprises the eight cells surrounding a central cell on a two-dimensional square lattice. The neighborhood is named after Edward F. Moore, a pioneer of cellular automata theory. It is one of the two most commonly used neighborhood types, the other one being the 4-cell von Neumann neighborhood. The well known Conway's Game of Life, for example, uses the Moore neighborhood. It is similar to the notion of 8-connected pixels in computer graphics.
The concept can be extended to higher dimensions, for example forming a 26-cell cubic neighborhood for a cellular automaton in three dimensions.
The Moore neighbourhood of a point is the points at a Chebyshev distance of 1.
The number of cells in a Moore neighbourhood, given its range r, is the odd squares: (2r + 1)2.
Read more about Moore Neighborhood: Algorithm, Termination Condition, Applications
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