rhombidodecadodecahedron
thumb|3D model of a rhombidodecadodecahedron In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38. It has 54 faces (30 squares, 12 pentagons and 12 pentagrams), 120 edges and 60 vertices. It is given a Schläfli symbol t0,2, and by the Wythoff construction this polyhedron can also be named a cantellated great dodecahedron.
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- Cartesian coordinates
- Related polyhedra
- Medial deltoidal hexecontahedron
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thumb|3D model of a rhombidodecadodecahedron In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38. It has 54 faces (30 squares, 12 pentagons and 12 pentagrams), 120 edges and 60 vertices. It is given a Schläfli symbol t0,2, and by the Wythoff construction this polyhedron can also be named a cantellated great dodecahedron.
== Cartesian coordinates == Cartesian coordinates for the vertices of a uniform great rhombicosidodecahedron are all the even permutations of (±1/φ2, 0, ±φ2) (±1, ±1, ±) (±2, ±1/φ, ±φ)