# Ditetrahedrofissary dishecatonicosachoron

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Ditetrahedrofissary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dittafady |

Coxeter diagram | (x5o5/3x5o5/3*a3*c)/2 |

Elements | |

Cells | 120 dodecadodecahedra, 120 icosidodecadodecahedra |

Faces | 1440 pentagons, 1440 pentagrams, 1200 hexagons |

Edges | 3600 |

Vertices | 600 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | 125 |

Dichoral angles | Did–5–ided: 144º |

Ided–6–ided: 120º | |

Did–5/2–ided: 72º | |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Ditetrahedrofissary dishecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **ditetrahedrofissary dishecatonicosachoron**, or **dittafady**, is a nonconvex fissary uniform polychoron that consists of 120 dodecadodecahedra and 120 icosidodecadodecahedra. 6 dodecadodecahedra and 12 icosidodecadodecahedra 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 ditetrahedronary dishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F18).

- Klitzing, Richard. "dittafady".