An artist-mathematician illuminates a world of infinite beauty

An easily understood proof of Cantor’s Theorem: <a href="http://www.mathacademy.com/pr/prime/articles/cantor_theorem/index.asp" rel="nofollow">http://www.mathacademy.com/pr/prime/articles/cantor_theorem/...</a><p>"Take a minute to ponder what this means. Cantor’s Theorem shows that given any set, there is another set which is 'larger' in the special sense of being a bigger kind of infinity. Hence, there can be no 'largest infinity' either! The kinds of infinity are therefore 'infinite!"

I really like the first paragraph of this article, but at this point:<p>"Art starts to happen when we project these personal maps back out on the world. Each of us has an impulse to express his or her experience of reality."<p>He lost me. This is the kind of formulaic definition of art you hear all too often. The reason art isn't math is that there is no such formula. Art is contradicts itself. It's messy and evades attempts to pin it down.

This is kinda cool but the pictures are the standard interpretations of what mathematicians imagine. I would have liked to see some non-standard approach with a bit more abstraction.