# Medial retropental hecatonicosachoron

(Redirected from Mriphi)

Medial retropental hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Mriphi |

Elements | |

Cells | 120 siddy |

Faces | 1200 hexagons, 720 decagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagonal stephanoid |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 113040 |

Level of complexity | 278 |

Related polytopes | |

Army | Rox |

Regiment | Righi |

Conjugate | Griphi |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –1080 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **medial retropental hecatonicosachoron**, or **mriphi**, is a nonconvex noble uniform polychoron that consists of 120 small dodecicosahedra. Ten small dodecicosahedra meet at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#94).

- Klitzing, Richard. "mriphi".