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January 08, 2004

Solid Geometry

Raak: [Blob, rab] The tetrahedron generalises to all dimensions, and is generally known as the n-dimensional simplex. It has n vertexes and n faces, each of which is an n-1-dimensional simplex. The cube and the octahedron also generalise to all dimensions, being known as the hypercube (in 4 dimensions, tesseract), and the cross-polytope. The icosahedron and dodecahedron don't generalise. In four dimensions you get a few other regular polyhedra, such as the one made of 600 tetrahedra.

Posted by matt at January 8, 2004 12:22 AM


How is it you always know just what to say to get a guy all hot and bothered?

Posted by: Faustus, M.D. at January 8, 2004 05:25 PM

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