Great complex icosidodecahedron

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Great complex icosidodecahedron
Rank3
TypeUniform
Notation
Bowers style acronymGacid
Elements
Faces12 pentagrams, 20 triangles
Edges30
Vertices12
Vertex figureComplex dipentagon
Edge figureTetrad
Measures (edge length 1)
Circumradius
Edge radius
Central density10
Related polytopes
ArmyIke
RegimentSissid
ConjugateSmall complex icosidodecahedron
Convex coreIcosahedron
Abstract & topological properties
Flag count240
Properties
SymmetryH3, order 120
ConvexNo

The great complex icosidodecahedron, or gacid, is a uniform exotic polyhedroid. It has 12 pentagrams and 20 triangles as faces, with 5 of each at a vertex.

It can be seen as a compound of great icosahedron and small stellated dodecahedron, with their edges coinciding and merging into tetradic edges.

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