# Small dodecahemicosahedral prism

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Small dodecahemicosahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidhipe |

Coxeter diagram | /2 ((x x5/3o5/2x3*b)/2) |

Elements | |

Cells | 12 pentagrammic prisms, 10 hexagonal prisms, 2 small dodecahemicosahedra |

Faces | 60 squares, 24 pentagrams, 20 hexagons |

Edges | 30+120 |

Vertices | 60 |

Vertex figure | Bowtie pyramid, edge lengths (√5–1)/2, √3 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

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

Sidhei–6–hip: 90° | |

Stip–4–hip: | |

Height | 1 |

Number of pieces | 156 |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Diddip |

Dual | Small dodecahemicosacronic tegum |

Conjugate | Great dodecahemicosahedral prism |

Abstract properties | |

Euler characteristic | –10 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **small dodecahemicosahedral prism** or **sidhipe**, is a prismatic uniform polychoron that consists of 2 small dodecahemicosahedra, 12 pentagrammic prisms, and 10 hexagonal prisms. Each vertex joins 1 small dodecahemicosahedron, 2 pentagrammic prisms, and 2 hexagonal prisms. As the name suggests, it is a prism based on the small dodecahemicosahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the dodecadodecahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#915).