# Compound of ten hexagonal prisms

The **rhombisnub icosahedron**, **rosi**, or **compound of ten hexagonal prisms** is a uniform polyhedron compound. It consists of 60 squares and 20 hexagons, with one hexagon and two squares joining at a vertex.

Compound of ten hexagonal prisms | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Rosi |

Elements | |

Components | 10 hexagonal prisms |

Faces | 60 squares, 20 hexagons |

Edges | 60+60+60 |

Vertices | 120 |

Vertex figure | Isosceles triangle, edge length √3, √2, √2 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 4–4: 120° |

4–6: 90° | |

Central density | 10 |

Number of external pieces | 1260 |

Level of complexity | 87 |

Related polytopes | |

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

Regiment | Rosi |

Dual | Compound of ten hexagonal tegums |

Conjugate | Compound of ten hexagonal prisms |

Convex core | Icosahedron |

Abstract & topological properties | |

Flag count | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

Its quotient prismatic equivalent is the ditrigonal trapezoprismatic decayottoorthowedge, which is twelve-dimensional.

## Gallery edit

## Vertex coordinates edit

The vertices of a rhombisnub icosahedron of edge length 1 are given by all even permutations of:

- ,
- ,
- ,
- ,
- .

## External links edit

- Bowers, Jonathan. "Polyhedron Category C6: Prismatics" (#35).

- Klitzing, Richard. "rosi".
- Wikipedia contributors. "Compound of ten hexagonal prisms".