# Great stellated dodecahedral prism

The **great stellated dodecahedral prism** or **gissiddip** is a prismatic uniform polychoron that consists of 2 great stellated dodecahedra and 12 pentagrammic prisms. Each vertex joins 1 great stellated dodecahedron and 3 pentagrammic prisms. As the name suggests, it is a prism based on the great stellated dodecahedron.

Great stellated dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gissiddip |

Coxeter diagram | x x5/2o3o () |

Elements | |

Cells | 12 pentagrammic prisms, 2 great stellated dodecahedra |

Faces | 30 squares, 24 pentagrams |

Edges | 20+60 |

Vertices | 40 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gissid–5/2–stip: 90° |

Stip–4–stip: | |

Height | 1 |

Central density | 7 |

Number of external pieces | 62 |

Related polytopes | |

Army | Semi-uniform Dope |

Regiment | Gissiddip |

Dual | Great icosahedral tegum |

Conjugate | Dodecahedral prism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

## Cross-sections edit

## Vertex coordinates edit

The vertices of a great stellated dodecahedral prism of edge length 1 are given by:

along with all even permutations of:

## External links edit

- Bowers, Jonathan. "Category 19: Prisms" (#896).

- Klitzing, Richard. "gissiddip".