# Great snub dodecicosidodecahedral prism

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Great snub dodecicosidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gisdiddip |

Coxeter diagram | x2s5/3s5/2s3*b () |

Elements | |

Cells | 20+60 triangular prisms, 24 pentagrammic prisms, 2 great snub dodecicosidodecahedra |

Faces | 40+120 triangles, 60+60+60 squares, 48 pentagrams |

Edges | 60+120+120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stip–4–trip #1: |

Trip–4–trip: | |

Gisdid–5/2–stip: 90° | |

Gisdid–3–trip: 90° | |

Stip–4–trip #2: | |

Height | 1 |

Central density | 10 |

Number of external pieces | 602 |

Related polytopes | |

Army | Semi-uniform Sriddip |

Regiment | Gisdiddip |

Dual | Great hexagonal hexecontahedral tegum |

Abstract & topological properties | |

Euler characteristic | –18 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}+×A_{1}, order 120 |

Convex | No |

Nature | Tame |

The **great snub dodecicosidodecahedral prism** or **gisdiddip** is a prismatic uniform polychoron that consists of 2 great snub dodecicosidodecahedra, 24 pentagrammic prisms (which form compounds in the same hyperplane), and 20+60 triangular prisms. Each vertex joins 1 great snub dodecicosidodecahedron,2 pentagrammic prisms, and 4 triangular prisms. As the name suggests, it is a prism based on the great snub dodecicosidodecahedron.

## Vertex coordinates[edit | edit source]

A great snub dodecicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#959).

- Klitzing, Richard. "gisdiddip".