# Dodecastar toroidiprism

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Dodecastar toroidiprism | |
---|---|

Rank | 4 |

Type | Scaliform |

Space | Spherical |

Notation | |

Bowers style acronym | Dastop |

Coxeter diagram | -2 2did |

Elements | |

Cells | 12 pentagrammic antiprisms, 24 pentagrammic cuploids |

Faces | 120 triangles, 60 squares, 24 pentagrams |

Edges | 240 |

Vertices | 60 |

Vertex figure | Skewed butterfly prism |

Measures (edge length 1) | |

Circumradius | |

Height | |

Related polytopes | |

Army | Semi-uniform Iddip |

Regiment | Dastop |

Convex core | Dodecahedral tegum |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **dodecastar toroidiprism** or **dastop** is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cuploids. Two pentagrammic antiprisms and four pentagrammic cuploids join at each vertex.

It resembles a shortened dodecadodecahedral prism, but it does not contain the base dodecadodecahedron facets. The pentagrammic faces from other facets lie where the pentagrammic faces of the dids would.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S4).

- Klitzing, Richard. "dastop".