# Medial hecatonicosintercepted hecatonicosachoron

(Redirected from Mohiny)

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Medial hecatonicosintercepted hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Mohiny |

Elements | |

Cells | 120 dodecadodecahedra, 120 truncated great icosahedra |

Faces | 720 pentagons, 1440 pentagrams, 1200 hexagons |

Edges | 3600 |

Vertices | 1200 |

Vertex figure | Triangular toroprism, edge lengths (√5-1)/2 (base edges), (1+√5)/2 (side edges of rectangles), and √3 (side edges of triangles) |

Edge figure | did 5 did 5/2 tiggy 6 tiggy 6 tiggy 5/2 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Did–5–did: 72° |

Tiggy–6–tiggy: 60° | |

Did–5/2–tiggy: 36° | |

Number of pieces | 164800 |

Level of complexity | 448 |

Related polytopes | |

Army | Rahi |

Regiment | Ragaghi |

Conjugate | Hecatonicosintercepted hecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract properties | |

Euler characteristic | 720 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **medial hecatonicosintercepted hecatonicosachoron**, or **mohiny**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 truncated great icosahedra. 3 dodecadodecahedra and 6 truncated great icosahedra join at each vertex.

It is wild because it has dodecadodecahedra intercepted by hexagons.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified great grand hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 3: Triangular Rectates" (#56).

- Klitzing, Richard. "mohiny".