# Rhombiprismic dispentachoron

Rhombiprismic dispentachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ripdip |

Elements | |

Cells | 10 hexagonal prisms, 5 cubohemioctahedra, 5 truncated octahedra |

Faces | 30+30 squares, 20+20 hexagons |

Edges | 30+60+60 |

Vertices | 60 |

Vertex figure | Skewed bowtie pyramid, base edge lengths √2, √3, √2, √3; lateral edge lengths √2, √2, √3, √3 |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cho–4–hip: |

Cho–6–toe: | |

Toe–4–hip: | |

Toe-6-hip: | |

Related polytopes | |

Army | Prip |

Regiment | Prip |

Conjugate | None |

Abstract & topological properties | |

Flag count | 1920 |

Euler characteristic | –10 |

Orientable | No |

Properties | |

Symmetry | A_{4}, order 120 |

Convex | No |

Nature | Tame |

The **rhombiprismic dispentachoron**, or **ripdip**, is a nonconvex uniform polychoron that consists of 5 cubohemioctahedra, 5 truncated octahedra, and 10 hexagonal prisms. One cubohemioctahedron, two truncated octahedra, and two hexagonal prisms join at each vertex.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the prismatorhombated pentachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 10: Prismatorhombates" (#354).

- Klitzing, Richard. "ripdip".