via BoingBoing

Bathsheba Grossman is a sculptor who uses cutting-edge technology to render math- and science-inspired shapes in three dimensions. You can buy 3D-printed laser-cut metal ones, or order them in plastic at lower costs from ShapeWays. That sound you hear is my jaw scraping my keyboard.

Borromean Rings

120 Cell

Along these same lines – check out the renderings on the Minimal Surface Archive, and for some background on what it means to project a 4-d dodecahedron into 3 dimensions, this video explains how to think in 10 dimensions.  If you really want to blow your mind, try parsing this article on the Lie Group E8, which has been proposed as a fundamental model of physical existence.