Great complex icosidodecahedron

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Great complex icosidodecahedron
Great complex icosidodecahedron.png
Rank3
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGacid
Elements
Faces12 pentagrams, 20 triangles
Edges30
Vertices12
Vertex figureComplex dipentagon
Measures (edge length 1)
Circumradius
Edge radius
Central densityeven
Related polytopes
ArmyIke
RegimentSissid
ConjugateSmall complex icosidodecahedron
Convex coreIcosahedron
Abstract 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 gike and sissid, with their edges coinciding and merging into tetradic edges.

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