# Great retroinverted prismatotetracontoctachoron

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Great retroinverted prismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gripic |

Elements | |

Cells | 48 quith, 192 trip |

Faces | 384 triangles, 288 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Vertex figure | Inverted square antiprism, edge lengths 1 (base) and √2–√2 (sides) |

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

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 1584 |

Level of complexity | 35 |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Sripic |

Abstract & topological properties | |

Euler characteristic | 144 |

Orientable | No |

Properties | |

Symmetry | F_{4}×2, order 2304 |

Convex | No |

Nature | Feral |

The **great retroinverted prismatotetracontoctachoron**, or **gripic**, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra and 192 triangular prisms. Eight quasitruncated hexahedra and eight triangular prisms join at each vertex.

It also has octahedra 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" (#534).

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