Triangle (TCA)

Object: CA on a homogeneous digraph
Topology: Completely homogeneous
Dimension: 3D
Structure: Cube with "holes" (triangular structure)
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 (1996)

Movies

400gen.avi (1511k) TCA 400 generations
AVI movie by Joel Dobrzelewski (1997)
400gen.mpg (863k) TCA 400 generations
MPEG movie by Joel Dobrzelewski (1997)

Images

Lattice 1latt1.jpg (58k) TCA from a distance - 96 nodes total.
POV-Ray rendered image by Joel Dobrzelewski (1996)
Lattice 2latt2.jpg (116k) A closer shot from an unusual perspective.
POV-Ray rendered image by Joel Dobrzelewski (1996)
pop.gif (27k) A graph of the population values for the first 400 generations of TCA after the initial "big-bang" configuration of a single non-blank cell. The actual text values are available here in 400gen.txt (4k)
GIF image by Joel Dobrzelewski (1996)
density.gif (5k) A graph of the population density for the first 400 generations.
GIF image by Joel Dobrzelewski (1997)

VRML Models

tca24.wrl 24-nodes of the TCA lattice
tca768.wrl 768 cells - only the triangles formed by the links are shown

Programs

(91k) All 4096 states of a small (12-cell) region are reached in only 60 generations.
MS-DOS executable and Pascal source by Plamen Petrov (1996)
(92k) This version only displays text output (population numbers) but reaches generation 400.
MS-Windows executable and Delphi (Pascal) source by Joel Dobrzelewski (1996)
(77k) A much smaller (and faster) version with 3D display.
MS-DOS executable and C source by Lee Killough (1996)

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