# Quasitruncated great stellated dodecahedral prism

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Quasitruncated great stellated dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Quit gissiddip |

Coxeter diagram | x x5/3x3o () |

Elements | |

Cells | 20 triangular prisms, 12 decagrammic prisms, 2 quasitruncated great stellated dodecahedra |

Faces | 40 triangles, 30+60 squares, 24 decagrams |

Edges | 60+60+120 |

Vertices | 120 |

Vertex figure | Sphenoid, edge lengths 1, √10–2√5/2, √10–2√5/2 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Quit gissid–10/3–stiddip: 90° |

Quit gissid–3–trip: 90° | |

Trip–4–stiddip: | |

Stiddip–4–stiddip: | |

Height | 1 |

Central density | 13 |

Number of pieces | 122 |

Related polytopes | |

Army | Semi-uniform Sriddip |

Regiment | Quit gissiddip |

Dual | Great triakis icosahedral tegum |

Conjugate | Truncated dodecahedral prism |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

Discovered by | {{{discoverer}}} |

The **quasitruncated great stellated dodecahedral prism** or **quit gissiddip** is a prismatic uniform polychoron that consists of 2 quasitruncated great stellated dodecahedra, 12 decagrammic prisms, and 20 triangular prisms. Each vertex joins 1 quasitruncated great stellated dodecahedron, 1 triangular prism, and 2 decagrammic prisms. As the name suggests, it is a prism based on the quasitruncated great stellated dodecahedron.

## Vertex coordinates[edit | edit source]

The vertices of a quasitruncated great stellated dodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#907).

- Klitzing, Richard. "quit gissiddip".