The Idea Lab

W-Rule Demo

How To Use W-Rule-Demo

This small utility ("W-Rule-Demo.htm") assumes one-dimensional multi-state cellular automata with neighborhood size m=3 and N=16 initial configuration. The user enters the W-Rule maximum number of states and the 2^3=8 coefficients that define the W-Rule.

The user then presses EVOLVE and the program evolved values for 16 time steps.

HINT:
An easy way of generating periodic data (that is the initial input is recovered after a number of evolutions) try to select:

Number of States to be a integral power of 2 (eg 4, 8, 16, 32, ….)
Select all coefficients of the W-Rule to be all EVEN numbers except one of the first 3 that must have an ODD value.

For example, with
Number of States:16
W-Rule: 6  11  2  14  4  8  10  12 any initial configuration will be recovered by the 8-th evolution.

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