Small complex icosidodecahedron

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Small complex icosidodecahedron
Rank3
TypeUniform
Notation
Bowers style acronymCid
Coxeter diagramo5/3o3x5*a ()
Elements
Faces20 triangles, 12 pentagons,
Edges30
Vertices12
Vertex figureComplex dipentagon
Edge figureTetrad
Measures (edge length 1)
Circumradius
Edge radius
Central density4
Related polytopes
ArmyIke
RegimentIke
ConjugateGreat complex icosidodecahedron
Convex coreDodecahedron
Abstract & topological properties
Flag count240
Properties
SymmetryH3, order 120
Flag orbits2
ConvexNo

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

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

Vertex coordinates[edit | edit source]

The vertex coordinates of the small complex icosidodecahedron are the same as those of the icosahedron.

External links[edit | edit source]