# Sesquitesseractihemioctachoron

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Sesquitesseractihemioctachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Setho |

Elements | |

Cells | 4+8 tetrahedra, 4 bowtie tegums |

Faces | 16+16 triangles, 4 squares |

Edges | 4+4+16 |

Vertices | 8 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hex |

Regiment | Hex |

Conjugate | None |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | K_{2}≀S_{2}, order 32 |

Convex | No |

Nature | Wild |

The **sesquitesseractihemioctachoron**, or **setho**, is a scaliform polychoron. It has 12 tetrahedra and 4 central bowtie tegums as cells, with 6 tetrahedra and 3 bowtie tegums at each vertex. It can be obtained by blending hex with hatho.

It is in the regiment of the hexadecachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S9).