# Retroinverted prismatoicositetrachoron

Jump to navigation
Jump to search

Retroinverted prismatoicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ripi |

Elements | |

Cells | 24 querco, 96 trip |

Faces | 192 triangles, 360 squares |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Ipi |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Tame |

The **retroinverted prismatoicositetrachoron**, or **ripi**, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra and 96 triangular prisms. Four quasirhombicuboctahedra and four triangular prisms join at each vertex.

It can be constructed as the blend of 3 qrit, with the oct cells blending out.

## 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" (#543).

This article is a stub. You can help Polytope Wiki by expanding it. |