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small complex rhombicosidodecahedron : ウィキペディア英語版
small complex rhombicosidodecahedron

In geometry, the small complex rhombicosidodecahedron (also known as the small complex ditrigonal rhombicosidodecahedron) is a degenerate uniform star polyhedron. It has 62 faces (20 triangles, 12 pentagrams and 30 squares), 120 (doubled) edges and 20 vertices. All edges are doubled (making it degenerate), sharing 4 faces, but are considered as two overlapping edges as a topological polyhedron.
It can be constructed from the vertex figure 3(5/2.4.3.4), thus making it also a cantellated great icosahedron. The "3" in front of this vertex figure indicates that each vertex in this degenerate polyhedron is in fact three coincident vertices. It may also be given the Schläfli symbol rr or t0,2.
==As a compound==
It can be seen as a compound of the small ditrigonal icosidodecahedron, U30, and the compound of five cubes. It is also a facetting of the dodecahedron.

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