# Dodecadodecahedral prism

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Dodecadodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Diddip |

Coxeter diagram | x o5/2x5o () |

Elements | |

Cells | 12 pentagonal prisms, 12 pentagrammic prisms, 2 dodecadodecahedra |

Faces | 60 squares, 24 pentagons, 24 pentagrams |

Edges | 30+120 |

Vertices | 60 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | 5 |

Dichoral angles | Pip–4–stip: |

Did–5–pip: 90° | |

Did–5/2–stip: 90° | |

Height | 1 |

Central density | 3 |

Number of external pieces | 74 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Diddip |

Dual | Medial rhombic triacontahedral tegum |

Conjugate | dodecadodecahedral prism |

Abstract & topological properties | |

Euler characteristic | –8 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **dodecadodecahedral prism** or **diddip**, is a prismatic uniform polychoron that consists of 2 dodecadodecahedra, 12 pentagrammic prisms, and 12 pentagonal prisms. Each vertex joins 1 dodecadodecahedron, 2 pentagrammic prisms, and 2 pentagonal prisms. As the name suggests, it is a prism based on the dodecadodecahedron.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices of a dodecadodecahedral prism of edge length 1 are given by all permutations of the first three coordinates of:

along with all even permutations of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#914).

- Klitzing, Richard. "diddip".