# Compound of five small rhombihexahedra

Jump to navigation
Jump to search

Compound of five small rhombihexahedra | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Rasher |

Elements | |

Components | 5 small rhombihexahedra |

Faces | 60 squares, 30 octagons |

Edges | 120+120 |

Vertices | 120 |

Vertex figure | Butterfly, edge lengths √2 and √2+√2 |

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 8–4 #1: 90° |

8–4 #2: 45° | |

Central density | odd |

Related polytopes | |

Army | Semi-uniform Grid, edge lengths (dipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle) |

Regiment | Rasseri |

Dual | Compound of five small rhombihexacrons |

Conjugate | Compound of five great rhombihexahedra |

Convex core | Rhombic triacontahedron |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **rhombisnub hyperhombihedron**, **rasher**, or **compound of five small rhombihexahedra ** is a uniform polyhedron compound. It consists of 60 squares and 30 octagons, with two of each joining at a vertex.

It can be formed by replacing each small rhombicuboctahedron in the rhombisnub rhombicosicosahedron with the small rhombihexahedron with which it shares its edge skeleton.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#17).

- Klitzing, Richard. "rasher".
- Wikipedia contributors. "Compound of five small rhombihexahedra".