# Small rhombic dispentachoron

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Small rhombic dispentachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sirdop |

Coxeter diagram | |

Elements | |

Cells | 10 triangular prisms, 5 truncated tetrahedra, 5 cubohemioctahedra |

Faces | 20 triangles, 30 squares, 20 hexagons |

Edges | 30+60 |

Vertices | 30 |

Vertex figure | Butterfly wedge, edge lengths 1 (bases), √2 (sides of outer triangles), and √3 (sides of inner triangles) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cho–4–trip: |

Cho–6–tut: | |

Tut–3–trip: | |

Related polytopes | |

Army | Srip |

Regiment | Srip |

Conjugate | None |

Convex core | Pentachoron |

Abstract & topological properties | |

Flag count | 1200 |

Euler characteristic | –10 |

Orientable | No |

Properties | |

Symmetry | A_{4}, order 120 |

Convex | No |

Nature | Tame |

The **small rhombic dispentachoron**, or **sirdop**, is a nonconvex uniform polychoron that consists of 5 truncated tetrahedra, 5 cubohemioctahedra, and 10 triangular prisms. 2 of each type of cell join at each vertex.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated pentachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#135).

- Klitzing, Richard. "sirdop".