Great complex rhombicosidodecahedron

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Great complex rhombicosidodecahedron
Rank3
TypeUniform
Notation
Bowers style acronymGicdatrid
Coxeter diagramx3/2o5x ()
Elements
Faces20 triangles, 30 squares, 12 pentagons
Edges60+60
Vertices20
Edge figureTetrad
Measures (edge length 1)
Circumradius
Central density11
Related polytopes
ArmyDoe, edge length
RegimentSidtid
ConjugateSmall complex rhombicosidodecahedron
Convex hullDodecahedron
Abstract & topological properties
Euler characteristic-38
Properties
SymmetryH3, order 120
ConvexNo

The great complex rhombicosidodecahedron is a degenerate uniform exotic polyhedroid. It can be seen as a compound of a great ditrigonary icosidodecahedron and a rhombihedron, the compound of 5 cubes, with their edges merging into tetradic edges.

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