Great complex icosidodecahedron
Introduction 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.
As a compound The great complex icosidodecahedron can be considered a compound of the small stellated dodecahedron, {5/2,5}, and great icosahedron, {3,5/2}, sharing the same vertices and edges, while the second is hidden, being completely contained inside the first.+ '''Compound polyhedron'''100px100px100pxSmall stellated dodecahedronGreat icosahedronCompound
See also *Small complex icosidodecahedron*Small complex rhombicosidodecahedron*Complex rhombidodecadodecahedron*Great complex rhombicosidodecahedron
References * (Table 6, degenerate cases)* *