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The 3D X neighbourhood, which is a simple three-dimensional extension of the
X neighbourhood.
It's relationship to the X neighbourhood
is much like the relationship between the Necker neighbourhood and the Margolus neighbourhood.
Domain
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Range
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->
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Domain
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Range
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->
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Cells empty
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Cells active
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This automata divides a volume of cells into four causally independant
sub-latices. Two of these share the same set of cells; so if a non-uniform
automata is used, esstentially the same function is being computed twice.
This is a problem for hardware implementations
Some more diagrams of this neighbourhood are available here.
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