Lesson 2: Some patterns found on internet

Some existing results:

Patterns can be made by hand, but you could also program:
Google Image Search for "cellular automata knitting":

The teapot cover in the middle has a signature pattern for cellular automata (which are in fact related to fractals).

A lot of the patterns are based on triangles, some of these are very symmetrical, some are extremely asymmetrical.

http://boingboing.net/2009/05/27/celluar-automata-at.html

http://complementinversion.blogspot.com/2008/03/beautiful-science.html

 http://www.complexification.net/gallery/machines/invaderfractal/