# Quasitruncated grand stellated hecatonicosachoron

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Quasitruncated grand stellated hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Quit gashi |

Coxeter diagram | x5/3x5o5/2o () |

Elements | |

Cells | 120 great dodecahedra, 120 quasitruncated small stellated dodecahedra |

Faces | 1440 pentagons, 720 decagrams |

Edges | 720+3600 |

Vertices | 1440 |

Vertex figure | Pentagrammic pyramid, edge lengths (1+√5)/2 (base) and √(5–√5)/2 (side) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Quit sissid–5–gad: 72° |

Quit sissid–10/3–quit sissid: 72° | |

Central density | —14 |

Number of external pieces | 51840 |

Level of complexity | 148 |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Quit gishi |

Conjugate | Truncated great hecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –960 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **quasitruncated grand stelltaed hecatonicosachoron**, or **quit gashi**, is a nonconvex uniform polychoron that consists of 120 great dodecahedra and 120 quasitruncated small stellated dodecahedra. One great dodecahedron and five quasitruncated small stellated dodecahedra join at each vertex. As the name suggests, it can be obtained by quasitruncating the grand stellated hecatonicosachoron.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 2: Truncates" (#37).

- Klitzing, Richard. "quit gashi".