Small complex icosidodecahedron

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Small complex icosidodecahedron
Small complex icosidodecahedron.png
Rank3
TypeUniform
SpaceSpherical
Notation
Bowers style acronymCid
Coxeter diagramo5/3o3x5*a (CDel label5-3.pngCDel branch.pngCDel split2-53.pngCDel node 1.png)
Elements
Faces12 pentagons, 20 triangles
Edges30
Vertices12
Vertex figureComplex dipentagon
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
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 ike and gad, with their edges coinciding and merging into tetradic edges.

External links[edit | edit source]

  • Klitzing, Richard. "cid".