# Rhombicosahedral prism

Jump to navigation
Jump to search

Rhombicosahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ripe |

Elements | |

Cells | 30 cubes, 20 hexagonal prisms, 2 rhombicosahedra |

Faces | 60+60+60 squares, 40 hexagons |

Edges | 60+120+120 |

Vertices | 120 |

Vertex figure | Butterfly pyramid, edge lengths √2, √3, √2, √3 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cube–4–hip #1: |

Ri–4–cube: 90° | |

Ri–6–hip: 90° | |

Cube–4–hip #2: | |

Height | 1 |

Related polytopes | |

Army | Semi-uniform Tipe |

Regiment | Radiddip |

Dual | Rhombicosacronic tegum |

Conjugate | Rhombicosahedral pirsm |

Abstract & topological properties | |

Euler characteristic | –12 |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **rhombicosahedral prism** or **ripe** is a prismatic uniform polychoron that consists of 2 rhombicosahedra, 30 cubes, and 20 hexagonal prisms. Each vertex joins 1 rhombicosahedron, 2 cubes, and 2 hexagonal prisms. As the name suggests, it is a prism based on the rhombicosahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rhombidodecadodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#931).