# Retroinverted ditetrahedronary prismatotrishecatonicosachoron

The **retroinverted ditetrahedronary prismatotrishecatonicosachoron**, or **ridtapthi**, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecadodecahedra, 720 pentagonal prisms, and 120 rhombicosahedra. Four small ditrigonary icosidodecahedra, six dodecadodecahedra, twelve pentagonal prisms, and twelve rhombicosahedra join at each vertex.

Retroinverted ditetrahedronary prismatotrishecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ridtapthi |

Elements | |

Cells | 120 sidtid, 120 did, 720 pip, 120 ri |

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

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Great retroinverted ditetrahedronary prismatotrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 158400 |

Euler characteristic | 4800 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#846).

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