ZigZag

Object: CA on a homogeneous digraph
Topology: Completely homogeneous
Dimension: 3D
Structure: Cube with "holes"
States: 2
Neighbors: 2
Rule: C[t+1] = C1[t] xor C2[t]
Initial Config.: Single non-blank cell, coord. (0,0,0)
In-degree: 2
Out-degree: 2
Global map: Reversible
Behaviour: Non-Replicative
Author: Joel Dobrzelewski (1997) {created with CABuilder}

500 Generations

500gen.xls Microsoft Excel worksheet containing all of the data and graphs for the 500 generation run.
500gen.csv Simple text file (comma separated values) containing the generation, population, combinations, volume, and density for these first 500 generations.
density.gif ZigZag density.
pop.gif ZigZag populations. Note: a good approximation of the population appears to be the generation number raised to the value of PI (to two decimal places) over seven ( g ^ 3.14 / 7 ). I can't explain this; it's probably just a peculiar coincidence. View a graph here: pop-pi.gif
config.gif Number of inaccesible configurations of a 24 cell region.

VRML Models

24.wrl
96.wrl
24 and 96 cells of the ZigZag lattice
VRML models by Joel Dobrzelewski (1998)

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