# Quasitruncated small stellated dodecahedral prism

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Quasitruncated small stellated dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Quit sissiddip |

Coxeter diagram | x x5/3x5o () |

Elements | |

Cells | 12 pentagonal prisms, 12 decagrammic prisms, 2 quasitruncated small stellated dodecahedra |

Faces | 30+60 squares, 24 pentagons, 24 decagrams |

Edges | 60+60+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stiddip–4–stiddip: |

Quit sissid–5–pip: 90° | |

Quit sissid–10/3–stiddip: 90° | |

Stiddip–4–pip: | |

Height | 1 |

Central density | 9 |

Number of external pieces | 110 |

Related polytopes | |

Army | Semi-uniform Sriddip |

Regiment | Quit sissiddip |

Dual | Great pentakis dodecahedral tegum |

Conjugate | Truncated great dodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –8 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1</ub>}, order 240 |

Convex | No |

Nature | Tame |

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

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a quasitruncated small 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" (#906).

- Klitzing, Richard. "quit sissiddip".