# Ditetrahedronary prismatodishecatonicosachoron

The **ditetrahedronary prismatodishecatonicosachoron**, or **datappady**, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 rhombicosahedra. Four small ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve rhombicosahedra join at each vertex.

Ditetrahedronary prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Datappady |

Elements | |

Cells | 120 sidtid, 720 stip, 120 ri |

Faces | 1200 triangles, 3600 squares, 1440 pentagrams, 1200 hexagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Great ditetrahedronary prismatodishecatonicosachoron |

Abstract & topological properties | |

Flag count | 129600 |

Euler characteristic | 3480 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinatesEdit

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

## External linksEdit

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#844).

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