# Great retrospinoprismatodisicositetrachoron

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Great retrospinoprismatodisicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Garnipadi |

Elements | |

Cells | 24 quith, 24 groh, 96 trip |

Faces | 192 triangles, 288 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Sarnipadi |

Abstract & topological properties | |

Euler characteristic | 48 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Feral |

The **great retrospinoprismatodisicositetrachoron**, or **garnipadi**, is a nonconvex uniform polychoron that consists of 24 quasitruncated hexahedra, 24 great rhombihexahedra, and 96 triangular prisms. Four quasitruncated hexahedra, four great rhombihexahedra, and four triangular prisms join at each vertex.

It can he constructed as a blend of three great pseudorhombic prismatotesseracts.

## 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" (#546).

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