Auxiliary Materials for Cyclic Cellular Automata in 3D
Cyclic cellular automata are known to self-organize into periodic structures. We illustrate this in three dimensions
using four types of "neighborhood". Von Neuman (face neighbors), Mixed (Moore in two dimensions, Von Neuman in other),
Edge (neighbors have at least an edge in common), Moore (at least a vertex in common). Movies and selected
frames may be found below. Images show four states in a 3D view and all states of the top plane.
A preprint is available [Preprint]
See also:
Medley of spirals from cyclic cellular automata.
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Von Neuman, N=38 states |
Mixed, N=56 states |
Edge, N=86 states |
Moore, N=128 states |
172MB Movie |
111MB Movie |
97MB Movie |
119MB Movie |
t=0 |
t=0 |
t=0 |
t=0 |
t=100 |
t=100 |
t=100 |
t=100 |
t=200 |
t=200 |
t=200 |
t=200 |
t=300 |
t=300 |
t=300 |
t=300 |
Von Neuman, N=38 states |
Mixed, N=56 states |
Edge, N=86 states |
Moore, N=128 states |
t=400 |
t=400 |
t=400 |
t=400 |
t=500 |
t=500 |
t=500 |
t=500 |
t=600 |
t=600 |
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t=600 |
t=700 |
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t=800 |
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Von Neuman, N=38 states |
Mixed, N=56 states |
Edge, N=86 states |
Moore, N=128 states |