# Small tripesic dodecahedronary dishecatonicosachoron

The **small tripesic dodecahedronary dishecatonicosachoron**, or **sitpodady**, is a nonconvex fissary uniform polychoron that consists of 120 regular great icosahedra and 120 small ditrigonary icosidodecahedra. 12 great icosahedra and 20 small ditrigonary icosidodecahedra join at each vertex.

Small tripesic dodecahedronary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sitpodady |

Coxeter diagram | o5/2o3o5/2x3*b () |

Elements | |

Cells | 120 great icosahedra, 120 small ditrigonary icosidodecahedra |

Faces | 2400 triangles, 720 pentagrams |

Edges | 1200 |

Vertices | 120 |

Vertex figure | Fissary truncated great icosahedron, edge lengths (√5–1)/2 (edges of pentagrams) and 1 (remaining edges) |

Measures (edge length 1) | |

Circumradius | 1 |

Hypervolume | |

Dichoral angles | Sidtid–3–gike: 120º |

Sidtid–5/2–sidtid: 72º | |

Central density | 40 |

Number of external pieces | 30240 |

Level of complexity | 55 |

Related polytopes | |

Army | Ex, edge lenght |

Regiment | Sishi |

Conjugate | Great tripesic dodecahedronary dishecatonicosachoron |

Abstract & topological properties | |

Flag count | 43200 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

It is fissary due to the fact the edges coincide by 3, with a compound edge figure.

It can be formed as a holosnub grand hecatonicosachoron.

## Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

## External links edit

- Bowers, Jonathan. "Category 17: Sishi Regiment" (#F9).

- Klitzing, Richard. "sitpodady".