# Small disprismatoicositetricositetrachoron

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Small disprismatoicositetricositetrachoron | |
---|---|

Rank | 4 |

Type | Semi-uniform |

Notation | |

Coxeter diagram | x3o4o3y |

Elements | |

Cells | 24+24 octahedra, 96+96 triangular prisms |

Faces | 192+192 triangles, 288 rectangles |

Edges | 288+288 |

Vertices | 144 |

Vertex figure | Square antipodium |

Measures (edge lengths a, b) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Trip–4–trip: |

Oct–3–trip: 150° | |

Central density | 1 |

Related polytopes | |

Dual | Tetragonal-trapezohedral hecatontetracontatetrachoron |

Conjugate | Quasidisprismatoicositetricositetrachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | F4, order 1152 |

Convex | Yes |

Nature | Tame |

The **small disprismatoicositetricositetrachoron** is a convex semi-uniform polychoron that is a variant of the small prismatotetracontoctachoron with only regular icositetrachoric and not doubled icositetrachoric symmetry. As such it can be represented by x3o4o3y, and has 48 octahedra (of two types, sizes x and y) and 192 triangular prisms (two types, forms x y3o and y x3o) as cells, with two edge lengths.