# Small prismated icositetrachoric tetracomb

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Small prismated icositetrachoric tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Spict |

Coxeter diagram | x3o4o3x3o () |

Elements | |

Tera | 32N triangular duoprisms, 24N octahedral prisms, 3N icositetrachora, N small prismatotetracontoctachora |

Cells | 96N+96N+96N triangular prisms, 12N+24N+48N octahedra |

Faces | 96N+96N+192N triangles, 288N squares |

Edges | 144N+288N |

Vertices | 72N |

Vertex figure | Square antifastegium, edge lengths 1 (base cube and top square) and √2 (sides) |

Related polytopes | |

Army | Spict |

Regiment | Spict |

Conjugate | Quasiprismated icositetrachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{5} |

Convex | Yes |

Nature | Tame |

The **small prismated icositetrachoric tetracomb** or **spict**, also called the **runcinated icositetrachoric tetracomb** is a convex uniform tetracomb. 2 small prismatotetracontoctachora, 1 icositetrachoron, 4 octahedral prisms, and 4 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcination of the icositetrachoric tetracomb.

## External links[edit | edit source]

- Klitzing, Richard. "spict".
- Wikipedia contributors. "Runcinated 24-cell honeycomb".