# Small stellated dodecahedral prism

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Small stellated dodecahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sissiddip |

Coxeter diagram | x x5/2o5o () |

Elements | |

Cells | 12 pentagrammic prisms, 2 small stellated dodecahedra |

Faces | 30 squares, 24 pentagrams |

Edges | 12+60 |

Vertices | 24 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stip–4–stip: |

Sissid–5/2–stip: 90° | |

Height | 1 |

Central density | 3 |

Number of pieces | 62 |

Related polytopes | |

Army | Semi-uniform Ipe |

Regiment | Sissiddip |

Dual | Great dodecahedral tegum |

Conjugate | Great dodecahedral prism |

Abstract properties | |

Euler characteristic | –8 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **small stellated dodecahedral prism** or **sissiddip** is a prismatic uniform polychoron that consists of 2 small stellated dodecahedra and 12 pentagrammic prisms. Each vertex joins 1 small stellated dodecahedron and 5 pentagrammic prisms. As the name suggests, it is a prism based on the small stellated dodecahedron.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices of a small stellated dodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#894).

- Klitzing, Richard. "sissiddip".