Vladimir Bulatov makes art, including metal sculptures and jewellery, based on tilings of non-Euclidean spaces.

He has posted online some slides he made to go with a talk he gave at the JMM in 2010, about the many ways conformal mappings of the hyperbolic plane can produce interesting images. Quite a few of the diagrams are animated if you click on them, which I missed first time round.

There are a few other slideshows on similar topics on his site.

In addition to all that, Vladimir shares some very cool things on Google+.