Compound of five tetrahemihexahedra

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Compound of five tetrahemihexahedra
Rank3
TypeUniform
Notation
Bowers style acronymHirki
Elements
Components5 tetrahemihexahedra
Faces20 triangles, 15 squares
Edges60
Vertices30
Vertex figureBowtie, edge lengths 1 and 2
Measures (edge length 1)
Circumradius
Dihedral angle
Related polytopes
ArmyId, edge length
RegimentSe
DualCompound of five tetrahemihexacrons
ConjugateCompound of five tetrahemihexahedra
Abstract & topological properties
OrientableNo
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

The hemirhombichiricosahedron, hirki, or compound of five tetrahemihexahedra is a uniform polyhedron compound. It consists of 20 triangles and 15 central squares, with two of each joining at a vertex.

It is in the same regiment of the small icosicosahedron, and can be formed by replacing each octahedron in that compound with a tetrahemihexahedron.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]