# Diretroprismatotetracontoctidisicositetrachoron

The **diretroprismatotetracontoctidisicositetrachoron**, or **dirpicdi**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 quasitruncated hexahedra, 24 great rhombihexahedra, and 96 triangular prisms. Two octahedra, four quasitruncated hexahedra, four great rhombihexahedra, and four triangular prisms join at each vertex.

Diretroprismatotetracontoctidisicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dirpicdi |

Elements | |

Cells | 48 oct, 24 quith, 24 groh, 96 trip |

Faces | 384 triangles, 288 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Pifficdi |

Abstract & topological properties | |

Euler characteristic | 192 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

It has the same cell counts as the icositetrifaceted prismatoicositetritetracontoctachoron, but the great rhombihexahedra and triangular prisms are in different positions.

## Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

## External links edit

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#547).

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