Compound of five octahemioctahedra

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Compound of five octahemioctahedra
Rank3
TypeUniform
Notation
Bowers style acronymIddei
Elements
Components5 octahemioctahedra
Faces40 triangles as 20 hexagrams, 20 hexagons as 10 stellated dodecagons
Edges120
Vertices60
Vertex figureBowtie, edge lengths 1 and 3
Measures (edge length 1)
Circumradius1
Volume0
Dihedral angle
Central density0
Number of external pieces320
Level of complexity18
Related polytopes
ArmySemi-uniform Srid, edge lengths (pentagons), (triangles)
RegimentArie
DualCompound of five octahemioctacrons
ConjugateCompound of five octahemioctahedra
Abstract & topological properties
Flag count480
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The icosicosicosahedron, icosidisicosahedron, iddei, or compound of five octahemioctahedra is a uniform polyhedron compound. It consists of 40 triangles (which form coplanar pairs combining into 20 hexagrams) and 20 hexagons (also pairing up into 10 stellated dodecagons), with two of each joining at a vertex.

It can be formed by replacing each cuboctahedron in the antirhombicosicosahedron with the octahemioctahedron with which it shares its edge skeleton.

Its quotient prismatic equivalent is the octahemioctahedral pentachoroorthowedge, which is seven-dimensional.

Gallery[edit | edit source]


Traditional filling

Binary filling

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antirhombicosicosahedron.

External links[edit | edit source]