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.
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.