# Compound of five tetrahemihexahedra

(Redirected from Hemirhombichiricosahedron)

Compound of five tetrahemihexahedra | |
---|---|

Rank | 3 |

Type | Uniform |

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 | |

Dihedral angle | |

Related polytopes | |

Army | Id, edge length |

Regiment | Se |

Dual | Compound of five tetrahemihexacrons |

Conjugate | Compound of five tetrahemihexahedra |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}+, 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[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]

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

- Klitzing, Richard. "hirki".
- Wikipedia contributors. "Compound of five tetrahemihexahedra".