Wolfram rules

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About this page

This page takes a simple rule and uses it to generate a pattern. The colour of each cell depends on the colours of the cells above it in a way determined by the rule.

The rule takes the form of one dimensional array of size \(2^n\), where \(n\) is the number of neighbouring cells that are taken into account. Each value in the rule corresponds to a different value of the bitmap.

For example if a cell considers its two immediate neighbours and itself then it considers three cells in total, and there will be \(2^3=8\) possible outcomes. The eight values in the rule will correspond to these values.

For Sierpinski's triangle try the pattern 01011010. 10000101 is also quite pretty.

Wikipedia page

Current pattern

Sample pattern

Make a new pattern

Rule:
Number of columns:
Colour: