# Faceted rectified great stellated hecatonicosachoron

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Faceted rectified great stellated hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Frogshi |

Elements | |

Cells | 120 did, 120 quit sissid |

Faces | 1440 pentagons, 720 pentagrams, 720 decagrams |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagrammic toroprism |

Measures (edge length 1) | |

Circumradius | |

Number of pieces | 137040 |

Level of complexity | 353 |

Related polytopes | |

Army | Rox |

Regiment | Ragishi |

Conjugate | Ridhi |

Convex core | Hecatonicosachoron |

Abstract properties | |

Euler characteristic | –240 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **faceted rectified great stellated hecatonicosachoron**, or **frogshi**, also known as the **facetorectified great stellated hecatonicosachoron**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 quasitruncated small stellated dodecahedra. Five dodecadodecahedra and ten quasitruncated small stellated dodecahedra join at each vertex.

It also has great dodecahedra and great dodecahemidodecahedra as pseudofacets.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#107).

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