# Disnub disicositetrachoron

Disnub disicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Disdi |

Elements | |

Cells | 24 small stellated dodecahedra, 24 great dodecahedra, 96 semicupolaically-faceted great icosahedra, 96 semicupolaically-faceted icosahedra |

Faces | 96+576 triangles, 288 pentagons, 288 pentagrams |

Edges | 96+144+576 |

Vertices | 96 |

Vertex figure | Faceted tridiminished dodecahedron |

Measures (edge length 1) | |

Circumradius | 1 |

Hypervolume | Undefined |

Related polytopes | |

Army | Sadi |

Regiment | Disdi |

Conjugate | Disnub disicositetrachoron |

Abstract & topological properties | |

Orientable | No |

Properties | |

Convex | No |

Nature | Feral |

The **disnub disicositetrachoron**, or **disdi**, is a nonconvex scaliform polychoron that consists of 24 small stellated dodecahedra, 24 great dodecahedra, 96 regular semicupolaically-faceted great icosahedra, and 96 semicupolaically-faceted icosahedra. 3 small stellated dodecahedra, 3 great dodecahedra, 9 semicupolaically-faceted great icosahedra, and 9 semicupolaically-faceted icosahedra meet at each vertex.

It can be thought as a kind of sub-symmetrical faceting of the small stellated hecatonicosachoron.

It was found in January 2006 by Mason Green, along with the medial snub disicositetrachoron. ~15 years later, several hundred uniform polychora would be found in its regiment, starting with the snub hexecontatetrasnub-snub disoctachoron by Polytope Discord user _Geometer.

## Vertex coordinates[edit | edit source]

The vertices of a disnub disicositetrachoron of edge length 1, centered at the origin, are given by all even permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S32).

- Klitzing, Richard. "disdi".