Platonic portrays a rotating, translucent Platonic solid (tetrahedron, cube, octahedron, dodecahedron or icosahedron), with the faces rendered opaque where they lie inside a second, independently rotating Platonic solid (not shown). The second solid is always either the same as, or dual to, the first.

One polyhedron is dual to another if there is a face in place of every vertex, and a vertex in place of every face; the cube and the octahedron are duals, as are the dodecahedron and icosahedron, while the tetrahedron is its own dual.

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Applets Gallery / Platonic / created Monday, 15 January 2001
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Copyright © Greg Egan, 2001. All rights reserved.