# Diretroprismatodisicositetritetracontoctachoron

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Diretroprismatodisicositetritetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dirpidic |

Elements | |

Cells | 96 triangular prisms, 24+24 octahedra, 24 truncated cubes, 24 small rhombihexahedra |

Faces | 192+192 triangles, 288 squares, 144 octagons |

Edges | 288+288 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Oct–3–trip: 150° |

Oct–3–tic: 60° | |

Sroh–8–tic: 45° | |

Sroh–4–trip: | |

Number of external pieces | 5328 |

Level of complexity | 184 |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Icositetrafaceted prismatoicositetritetracontoctachoron |

Abstract & topological properties | |

Flag count | 13824 |

Euler characteristic | 192 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **diretroprismatodisicositetritetracontoctachoron**, or **dirpidic**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombihexahedra, and 96 triangular prisms. Two octahedra, four truncated cubes, four small rhombihexahedra, and four triangular prisms join at each vertex.

It has the same cell counts as the prismatofaceted tetracontoctodisicositetrachoron, but the small rhombihexahedra and triangular prisms are in different positions.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#527).

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