# Small retroditetrahedronary dishecatonicosachoron

(Redirected from Sirdatady)

Small retroditetrahedronary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sirdatady |

Elements | |

Cells | 120 great ditrigonary icosidodecahedra, 120 icosidodecahedra |

Faces | 2400 triangles, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Vertex figure | Great rhombitetrahedron, edge lengths 1 and (√5–1)/2 |

Edge figure | (gidtid 3 id 5 gidtid 3 id 5) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gidtid–5–id: 144° |

Gidtid–3–id: 120° | |

Related polytopes | |

Army | Hi, edge length |

Regiment | Sidtaxhi |

Conjugate | Grand retroditetrahedronary dishecatonicosachoron |

Abstract & topological properties | |

Flag count | 57600 |

Euler characteristic | 600 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small retroditetrahedronary dishecatonicosachoron**, or **sirdatady**, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 icosidodecahedra. Four great ditrigonary icosidodecahedra and six icosidodecahedra join at each vertex.

## 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" (#781).

- Klitzing, Richard. "sirdatady".

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