# Disicositetrintercepted prismatoicositetrachoron

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Disicositetrintercepted prismatoicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dinpi |

Elements | |

Cells | |

Faces | |

Edges | 288+288 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angle | Sirco–4–socco: 90° Socco–8–tic: 90° Sirco–3–trip: 90° Socco–3–tic: 90° Sirco–4–trip: |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Icositetriprismatointercepted disicositetrachoron |

Abstract & topological properties | |

Flag count | 16128 |

Euler characteristic | 360 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Flag orbits | 14 |

Convex | No |

Nature | Wild |

The **disicositetrintercepted prismatoicositetrachoron**, or **dinpi**, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 24 small cubicuboctahedra, 24 small rhombicuboctahedra, and 96 triangular prisms. Four truncated cubes, four small cubicuboctahedra, four small rhombicuboctahedra, and four triangular prisms join at each vertex.

## 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" (#529).