# Compound of five great rhombihexahedra

(Redirected from Rhombisnub quasihyperhombihedron)

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Compound of five great rhombihexahedra | |
---|---|

Rank | 3 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Rasquahr |

Elements | |

Components | 5 great rhombihexahedra |

Faces | 60 squares, 30 octagrams |

Edges | 120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 8/3–4 #1: 90° |

8/3–4 #2: 45° | |

Central density | odd |

Related polytopes | |

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

Regiment | Raquahri |

Dual | Compound of five great rhombihexacrons |

Conjugate | Compound of five small rhombihexahedra |

Convex core | Deltoidal hexecontahedron |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **rhombisnub quasihyperhombihedron**, **rasquahr**, or **compound of five great rhombihexahedra ** is a uniform polyhedron compound. It consists of 60 squares and 30 octagrams, with two of each joining at a vertex.

It can be formed by replacing each great cubicuboctahedron in the rhombiquasihyperhombicosicosahedron with the great 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 rhombiquasihyperhombmicosicosahedron.

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C3: Fivers" (#20).

- Klitzing, Richard. "rasquahr".

- Wikipedia Contributors. "Compound of five great rhombihexahedra".