# Prismatorhombated icositetrachoric tetracomb

The **prismatorhombated icositetrachoric tetracomb** or **pricot**, also called the **runcicantellated icositetrachoric tetracomb** is a convex uniform tetracomb. 2 prismatorhombated icositetrachora, 1 tesseractihexadecachoron, 2 truncated tetrahedral prisms, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the icositetrachoric tetracomb.

Prismatorhombated icositetrachoric tetracomb | |
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Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Pricot |

Coxeter diagram | x3o4x3x3o () |

Elements | |

Tera | 24N truncated tetrahedral prisms, 32N triangular duoprisms, 3N tesseractihexadecachora, N prismatorhombated icositetrachora |

Cells | 96N+96N triangular prisms, 96N hexagonal prisms, 48N truncated tetrahedra, 24N truncated octahedra, 12N small rhombicuboctahedra |

Faces | 96N+96N triangles, 72N+144N+288N squares, 192N hexagons |

Edges | 288N+288N+288N |

Vertices | 288N |

Vertex figure | Isosceles trapezoidal scalene, base edge lengths 1, √2, √2, √2, opposite edge length 1, lacing lengths √2 and √3 |

Related polytopes | |

Army | Pricot |

Regiment | Pricot |

Conjugate | Quasiprismatorhombated icositetrachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{5} |

Convex | Yes |

Nature | Tame |

## External links edit

- Klitzing, Richard. "pricot".
- Wikipedia contributors. "Runcicantellated 24-cell honeycomb".