# Icositetricositetrachoron

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Icositetricositetrachoron | |
---|---|

Rank | 4 |

Type | Semi-uniform |

Space | Spherical |

Notation | |

Coxeter diagram | o3x4y3o |

Elements | |

Cells | 24+24 truncated cubes |

Faces | 96+96 triangles, 144 ditetragons |

Edges | 288+288 |

Vertices | 288 |

Vertex figure | Digonal disphenoid |

Measures (edge lengths a, b) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Tic–8–tic: 135° |

Tic–3–tic: 120° | |

Central density | 1 |

Related polytopes | |

Dual | Disphenoidal diacosioctacontoctachoron |

Conjugate | Great icositetricositetrachoron |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | F4, order 1152 |

Convex | Yes |

Nature | Tame |

The **icositetricositetrachoron** is a convex semi-uniform polychoron that is a variant of the tetracontoctachoron with only regular icositetrachoric and not doubled icositetrachoric symmetry. As such it can be represented by o3x4y3o and has 48 truncated cubes of two types (forms x4y3o and y4x3o), with two edge lengths.