The Stellated Icosahedra
نویسنده
چکیده
Stellation means the extension the faces of a polyhedron until they intersect with the extensions of other faces, such that the symmetry of the original polyhedron is preserved. The set of all possible edges of the stellated forms can be obtained by finding all intersections of the plane of one face with the planes of all other faces. No stellations are possible for the tetrahedron and the cube. The only stellation of the octahedron is the stella octangula, a compound of two dual tetrahedra. The two tetrahedra are related to each other by inversion and can easily be drawn.
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