# Hexadecaocta-hemihexadecintercepted hemioctachoron: Difference between revisions

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|symmetry = [[Demitesseractic symmetry|D<sub>4</sub>]], order 192 |
|symmetry = [[Demitesseractic symmetry|D<sub>4</sub>]], order 192 |
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|circum = <math>1</math> |
|circum = <math>1</math> |
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|dich = |
|dich = Thah–3–thah: 120° |
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|dich2 = Cho–6–cho: 120° |
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|dich3 = Thah–4–co: 90° |
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|dich4 = Thah–4–cho: 90° |
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|dich5 = Thah–3–co: 60° |
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|euler = 44 |
|euler = 44 |
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|pieces = 416 |
|pieces = 416 |
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[[File:Hoh Honho-cells.png|300px]] |
[[File:Hoh Honho-cells.png|300px]] |
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[[File:Schlegel_wireframe_24-cell.png|300px]] |
[[File:Schlegel_wireframe_24-cell.png|300px]] |
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==Vertex coordinates== |
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Its vertices are the same as those of its regiment colonel, the [[icositetrachoron]]. |
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==External links== |
==External links== |

## Revision as of 15:43, 11 February 2024

Hexadecaocta-hemihexadecintercepted hemioctachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Hoh honho |

Elements | |

Cells | 8+8+8 tetrahemihexahedra, 4 cuboctahedra, 4+4 cubohemioctahedra |

Faces | 32+32 triangles, 24+24+24 squares, 16 hexagons |

Edges | 96 |

Vertices | 24 |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Thah–3–thah: 120° |

Cho–6–cho: 120° | |

Thah–4–co: 90° | |

Thah–4–cho: 90° | |

Thah–3–co: 60° | |

Number of external pieces | 416 |

Level of complexity | 52 |

Related polytopes | |

Army | Ico |

Regiment | Ico |

Conjugate | None |

Abstract & topological properties | |

Flag count | 2304 |

Euler characteristic | 44 |

Orientable | No |

Properties | |

Symmetry | D_{4}, order 192 |

Convex | No |

Nature | Wild |

The **hexadecaocta-hemihexadecintercepted hemioctachoron**, or **hoh honho**, is a uniform polychoron. It has 24 tetrahemihexahedra of three types, 8 central cuboctahedra of two types, and 4 central cubohemioctahedra, with 2 of each type at each vertex.

As well as being isogonal, it is also isotoxal.

## Gallery

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the icositetrachoron.

## External links

- Bowers, Jonathan. "Category 4: Ico Regiment" (#70).

- Klitzing, Richard. "hoh honho".