Complex rhombidodecadodecahedron

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Complex rhombidodecadodecahedron
Rank3
TypeUniform
Notation
Bowers style acronymCadditradid
Coxeter diagramx5/3o5x ()
Elements
Faces12 pentagons, 30 squares, 12 pentagrams
Edges60+60
Vertices20
Edge figureTetrad
Measures (edge length 1)
Circumradius
Central density9
Related polytopes
ArmyDoe
RegimentSidtid
Convex hullDodecahedron
Properties
SymmetryH3, order 120
ConvexNo

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