# Small prismated hexadecachoric tetracomb

Jump to navigation
Jump to search

Small prismated hexadecachoric tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Spaht |

Coxeter diagram | o3x4o3o3x () |

Elements | |

Tera | 32N triangular duoprisms, 12N cuboctahedral prisms, 3N small disprismatotesseractihexadecachora, N rectified icositetrachora |

Cells | 24N tetrahedra, 96N+96N triangular prisms, 24N+72N cubes, 24N cuboctahedra |

Faces | 96N+96N triangles, 144N+288N squares |

Edges | 144N+288N |

Vertices | 96N |

Vertex figure | Triangular antifastegium, edge lengths 1 (lateral edges of base triangular prism and top triangle) and √2 (remaining edges) |

Related polytopes | |

Army | Spaht |

Regiment | Spaht |

Conjugate | Quasiprismated hexadecachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{5} |

Convex | Yes |

The **small prismated hexadecachoric tetracomb** or **spaht**, also called the **runcinated hexadecachoric tetracomb** is a convex uniform tetracomb. 2 small disprismatotesseractihexadecachora, 1 rectified icositetrachoron, 3 cuboctahedral prisms, and 3 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcination of the hexadecachoric tetracomb.

## Related polytopes[edit | edit source]

## External links[edit | edit source]

- Klitzing, Richard. "spaht".

- Wikipedia Contributors. "Runcinated 16-cell honeycomb".