# Disicositetrintercepted icositetritetracontoctachoron

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Disicositetrintercepted icositetritetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dinic |

Elements | |

Cells | 48 oct, 24 tic, 24 sirco, 24 sroh |

Faces | 384 triangles, 360 squares, 144 octagons |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Number of pieces | 1008 |

Level of complexity | 28 |

Related polytopes | |

Army | Spic |

Regiment | Spic |

Conjugate | Incdi |

Abstract properties | |

Euler characteristic | 336 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **disicositetrintercepted icositetritetracontoctachoron**, or **dinic**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombicuboctahedra, and 24 small rhombihexahedra. Two octahedra, four truncated cubes, four small rhombicuboctahedra, and four small rhombihexahedra 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" (#530).

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