Repeating Rule 30 patterns

The table below gives all repeating Rule 30 patterns that have been found by various methods by increasing width. Till width 30 this has been done by an algorithm that simply tried every possible pattern, seeing if it will repeat. Most solutions above this size have been found by an algorithm which tries to find a pattern that fits in a given box. I discovered this algorithm on January 9, 2005 and later perfected it a little more. Below there is also a table that gives the patterns by increasing area.

Repeating sequencewidthheightareashift

Increasing area

Repeating sequencewidthheightareashift