# Retroantiprismatosnub dishecatonicosachoron

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Retroantiprismatosnub dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Rapsady |

Elements | |

Cells | 1440 pentagonal antiprisms, 120 small snub icosicosidodecahedra, 120 small inverted retrosnub icosicosidodecahedra |

Faces | 1440 pentagons, 1440 pentagrams, 7200+7200 triangles, 2400 irregular hexagrams |

Edges | 7200+14400 |

Vertices | 2400 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Central density | –16 |

Related polytopes | |

Army | Non-uniform Thi |

Regiment | Rapsady |

Convex core | Hecatonicosachoron |

Abstract properties | |

Euler characteristic | –1200 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **retroantiprismatosnub dishecatonicosachoron**, or **rapsady**, is a nonconvex uniform polychoron that consists of 1440 pentagonal antiprisms, 120 small snub icosicosidodecahedra, and 120 small inverted retrosnub icosicosidodecahedra. 6 pentagonal antiprisms, 3 small snub icosicosidodecahedra, and 3 small inverted retrosnub icosicosidodecahedra join at each vertex.

It is the only currently known non-prismatic uniform polychoron to contain snub cells with dodecahedral symmetry.

## Cross-sections[edit | edit source]

## External links[edit | edit source]

- Bowers, Jonathan. "Category 20: Miscellaneous" (#974).

- Klitzing, Richard. "rapsady".