# Omnifacetoprismatotetracontoctachoron

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Omnifacetoprismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ofpic |

Elements | |

Cells | 48 gocco, 192 trip |

Faces | 384 triangles, 432 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Vertex figure | Irregular omnifaceted square antiprism |

Edge figure | trip 4 trip 4 trip 3 gocco 8/3 gocco 4 gocco 8/3 gocco 3 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 14016 |

Level of complexity | 200 |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Lifpic |

Abstract & topological properties | |

Euler characteristic | 288 |

Orientable | No |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Wild |

The **omnifacetoprismatotetracontoctachoron**, or **ofpic**, is a nonconvex uniform polychoron that consists of 48 great cubicuboctahedra and 192 triangular prisms. Eight great cubicuboctahedra and eight triangular prisms join at each vertex.

It also has quasitruncated hexahedra and octahedra plus their central squares as pseudofacets.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#536).

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