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Algorithmic Terrain with Cellular Automata

display

Contour Plot

3D Plot

Raw Data

smoothness

Rough

Smoothed

Smoothest

rule

initial conditions

steps

3-color 2D totalistic CAs generate changes in height from a baseline value, totaling over a number of steps of evolution of the rule. Essentially the value of the CA at a given location is totaled through the time dimension, like a local random walk. Different rules, initials, and steps then generate a variety of types of terrain. There are over 1 billion 3-color totalistic rules of this type.

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