Great complex icosidodecahedron


In geometry, the great complex icosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 edges, and 32 faces, 12 pentagrams and 20 triangles. All edges are doubled, 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,, and great icosahedron,, sharing the same vertices and edges, while the second is hidden, being completely contained inside the first.
Its two-dimensional analogue would be the compound of a regular pentagon,, and regular pentagram,. These shapes would share vertices, similarly to how its 3D equivalent shares edges.

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