Hemirhombichiricosahedron

Hemirhombichiricosahedron
(OFF file)
Rank	3
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Hirki
Elements
Components	5 tetrahemihexahedra
Faces	20 triangles, 15 squares
Edges	60
Vertices	30
Vertex figure	Bowtie, edge lengths 1 and √2
Measures (edge length 1)
Circumradius	$\frac{\sqrt2}{2} ≈ 0.70711$
Dihedral angle	$\arccos\left(\frac{\sqrt3}{3}\right) ≈ 54.73561°$
Related polytopes
Army	Id
Regiment	Se
Dual	Compound of five tetrahemihexacrons
Conjugate	Hemirhombichiricosahedron
Abstract & topological properties
Orientable	No
Properties
Symmetry	H3+, order 60
Convex	No
Nature	Tame

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

Vertex coordinates

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

External links

• Bowers, Jonathan. "Polyhedron Category C1: Compound Regulars" (#6).

• Klitzing, Richard. "hirki".

• Wikipedia Contributors. "Compound of five tetrahemihexahedra".