Polyhedral Maps is a website that explores unconventional methods of mapping the surface of the earth. The most famous of these unusual maps was Buckminster Fuller’s Dymaxion map, which used the net of an icosahedron. Da Vinci had experimented with this technique in his “Octant” map of 1514, which used Reuleaux triangles as map elements. This process is now being used by photographers and artists in manipulating panoramic images. A good example is Tom Lechner’s The Wild Highways of the Elongated Pentagonal Orthobicupola.
posted on Jun 1, 2008 - View this thread

Vladimir Bulatov enjoys making polyhedra and abstract geometric sculptures.
posted on Feb 9, 2008 - View this thread

Here are some beautifully rendered views of polytopes, and a few more. The rendering program, Jenn 3D, is free and downloadable, (OS X, Linux, Win) and includes some really dazzling fly-about and camera effects as well as tons of high-dimensional models to explore. There's also a mind-boggling possibility of playing Go on boards in projective space. Via the Math Paint blog, which leads to other interesting places...
posted on Jun 2, 2007 - View this thread

The Spidron is an interesting geometric construction that seems to lend itself to folding, dissection, and space-filling in two and three dimensions.
posted on Jul 17, 2005 - View this thread