# Inverted disicositetrachoron

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Inverted disicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Idi |

Elements | |

Cells | 24 quith, 24 gocco |

Faces | 192 triangles, 72 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Vertex figure | Blend of two wedges, edge lengths 1 (blended base), √2–√2 (sides), and √2 (top edges) |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Ridi |

Abstract & topological properties | |

Euler characteristic | –72 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Tame |

The **inverted disicositetrachoron**, or **idi**, is a nonconvex uniform polychoron that consists of 24 quasitruncated hexahedra and 24 great cubicuboctahedra. Four quasitruncated hexahedra and four great cubicuboctahedra join at each vertex.

It can be constructed as the blend of 3 wavitoth, 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" (#540).

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