I'm fascinated by what I think is called Universality in mathematics. What I mean by this is systems with simple rules displaying very complex behaviours in aggregate. Conway's game of life, Wolfram's A New Kind of Science (http://www.wolframscience.com/nksonline/toc.html) and this excellent article http://www.empiricalzeal.com/2013/03/01/the-universal-laws-behind-growth-patterns-or-what-tetris-can-teach-us-about-coffee-stains/#more-2837 are what I mean.
I am struggling to find resource to explore this topic further. Could anyone give me some pointers for where to learn more about this?
Searching on Google or for books on Universality doesn't seem to give me much.
- Is this universality or something else? Are there terms I can search around?
- Are there other related areas of mathematics I should look in to?
- Can you suggest books, articles, videos, interest groups, etc?