The icosidodecahedron can be built by truncating either a regular icosahedron or a regular dodecahedron. It has 30 vertices, one at the center of each edge of the icosahedron—or equivalently, one at the center of each edge of the dodecahedron. It is a beautiful, highly symmetrical shape. But the icosidodecahedron is just a shadow of an even more symmetrical shape with twice as many vertices in twice as many dimensions! Namely, it’s a projection down to 3d space of the D6 root polytope, a 6-dimensional convex polytope with 60 vertices. --John Baez You can see all 60 vertices in the gif by Greg Egan (follow the link to see!)More from John Baez in the full post: blogs.ams.org/visualinsight/2015/01/01/icosidodecahedron-from-projected-d6-root-polytope/
Posted on: Wed, 07 Jan 2015 17:01:00 +0000
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