# Dodecahedronary dishecatonicosachoron

The **dodecahedronary dishecatonicosachoron**, or **didhi**, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 great icosahedra. Twenty great ditrigonary icosidodecahedra and twelve great icosahedra join at each vertex.

Dodecahedronary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Didhi |

Elements | |

Cells | 120 gidtid, 120 gike |

Faces | 2400 triangles, 720 pentagons |

Edges | 1200 |

Vertices | 120 |

Edge figure | (gike 3 gidtid 5 gidtid 3)×3 |

Measures (edge length 1) | |

Circumradius | 1 |

Central density | 50 |

Number of external pieces | 19440 |

Level of complexity | 61 |

Related polytopes | |

Army | Ex |

Regiment | Sishi |

Conjugate | Ofiddady |

Abstract & topological properties | |

Euler characteristic | 1800 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

It also has tetrahedra as pseudofacets.

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 17: Sishi Regiment" (#772).

- Klitzing, Richard. "didhi".

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