# Small ditetrahedrofissary dishecatonicosachoron

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Small ditetrahedrofissary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sadtifady |

Coxeter diagram | (x3/2o5x3/2o5*a5*c)/2 |

Elements | |

Cells | 120 icosidodecahedra, 120 small dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagons, 720 decagons |

Edges | 3600 |

Vertices | 600 |

Vertex figure | Compound of 3 crossed rectangular trapezoprisms, edge lengths 1 and (1+√5)/2 (base) and √(5+√5)/2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Saddid–10–saddid: 144º |

Id–3–saddid: 60º | |

Id–5–saddid: 36º | |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Great ditetrahedrofissary dishecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small ditetrahedrofissary dishecatonicosachoron**, or **sadtifady**, is a nonconvex fissary uniform polychoron that consists of 120 icosidodecahedra and 120 small dodecicosidodecahedra. 6 icosidodecahedra and 12 small dodecicosidodecahedra join at each vertex.

It is fissary with vertices coinciding by 3, and edges coinciding by two.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F14).

- Klitzing, Richard. "sadtifady".