In geometry, the great complex icosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 (doubled) edges, and 32 faces, 12 pentagrams and 20 triangles. All edges are doubled (making it degenerate), sharing 4 faces, but are considered as two overlapping edges as topological polyhedron.
It can be constructed from a number of different vertex figures.
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In geometry, the greatcomplexicosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 (doubled) edges, and 32 faces, 12...
In geometry, the small complexicosidodecahedron is a degenerate uniform star polyhedron. Its edges are doubled, making it degenerate. The star has 32...
non-convex GreatcomplexicosidodecahedronGreat deltoidal hexecontahedron Great deltoidal icositetrahedron Great dirhombicosidodecacron Great dirhombicosidodecahedron...
It also shares its edges with the great icosahedron; the compound with both is the greatcomplexicosidodecahedron. There are four related uniform polyhedra...
place are the small complexicosidodecahedron (compound of icosahedron and great dodecahedron) and the greatcomplexicosidodecahedron (compound of small...
convex regular icosahedron; the compound with both is the small complexicosidodecahedron. If only the visible surface is considered, it has the same topology...
its edge arrangement with the small ditrigonal icosidodecahedron, the great ditrigonal icosidodecahedron, and the ditrigonal dodecadodecahedron. With these...
A regular ten-pointed {10/3} decagram is the hemi-face of the greaticosidodecahedron, as well as the Petrie polygon of two regular Kepler–Poinsot polyhedra...
infinite family of cuploids. It can be obtained as a slice of the small complex rhombicosidodecahedron. As in all cupolae, the base polygon has twice as...
Kepler–Poinsot polyhedra. A rectified regular dodecahedron forms an icosidodecahedron. The regular dodecahedron has icosahedral symmetry Ih, Coxeter group...
the infinite family of cuploids. It can be obtained as a slice of the greatcomplex rhombicosidodecahedron. As in all cupolae, the base polygon has twice...
geometric polyhedra. But where a polyhedral name is given, such as icosidodecahedron, the most symmetrical geometry is often implied.[citation needed]...
tetrahedra, the compound of ten tetrahedra, rhombic triacontahedron, icosidodecahedron, truncated icosahedron, truncated dodecahedron, and rhombicosidodecahedron...
Wenninger's Polyhedron Models) An unknown number of stellations of the icosidodecahedron; there are 7071671 non-chiral stellations, but the number of chiral...
icosicosidodecahedron from (3 3 5/8) or (3 3/4 5/3), and the great retrosnub icosidodecahedron from (2/3 3 5/2), (2 3/4 5/3), or (2 3 5/7). (Coxeter, "Uniform...
photo on the back cover of him holding a sculpture of a stellated icosidodecahedron with bevelled edges. A decision theoretic approach to relationships...
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