# Hecatonicosafaceted prismatodishecatonicosachoron

(Redirected from Hi fipady)

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Hecatonicosafaceted prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Hi fipady |

Elements | |

Cells | 720 pentagonal prisms, 120 great stellated dodecahedra, 120 rhombidodecadodecahedra |

Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |

Edges | 3600+3600 |

Vertices | 2400 |

Vertex figure | Triangular hemiantipodium, edge lengths (√5–1)/2 (top triangle), (1+√5)/2 (base pseudo-triangle), and √2 (sides) |

Measures (edge length 1) | |

Circumradius | 2 |

Dichoral angles | Raded–4–pip: |

Raded–5/2–gissid: 36° | |

Ided–5–pip: 18° | |

Number of external pieces | 99720 |

Level of complexity | 343 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Siddapady |

Conjugate | Medial hecatonicosafaceted prismatodishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **hecatonicosafaceted prismatodishecatonicosachoron**, or **hi fipady**, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 rhombidodecadodecahedra. One great stellated dodecahedron, three pentagonal prisms, and three rhombidodecadodecahedra join at each vertex.

It also has 120 dodecahedra and 720 pentagrammic prisms as pseudofacets.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small disprismatodishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#462).