# Small rhombidodecahedral prism

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Small rhombidodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sirdip |

Elements | |

Cells | 30 cubes, 12 decagonal prisms, 2 small rhombidodecahedra |

Faces | 60+60+60 squares, 24 decagons |

Edges | 60+120+120 |

Vertices | 120 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cube–4–dip #1: |

Sird–4–cube: 90° | |

Sird–10–dip: 90° | |

Cube–4–dip #2: | |

Height | 1 |

Number of pieces | 224 |

Related polytopes | |

Army | Sriddip |

Regiment | Sriddip |

Dual | Small rhombidodecacronic tegum |

Conjugate | Great rhombidodecahedral prism |

Abstract properties | |

Euler characteristic | –20 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **small rhombidodecahedral prism** or **sirdip** is a prismatic uniform polychoron that consists of 2 small rhombidodecahedra, 30 cubes, and 12 decagonal prisms. Each vertex joins 1 small rhombidodecahedron, 2 cubes, and 2 decagonal prisms. As the name suggests, it is a prism based on the small rhombidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#928).