# Small hexacosifaceted prismatodishecatonicosachoron

(Redirected from Six fipady)

Small hexacosifaceted prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Six fipady |

Elements | |

Cells | 1200 triangular prisms, 120 dodecahedra, 120 small rhombicosidodecahedra |

Faces | 2400 triangles, 3600 squares, 1440 pentagons |

Edges | 3600+3600 |

Vertices | 2400 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Srid–3–trip: 150° |

Srid–5–doe: 144° | |

Srid–4–trip: | |

Number of external pieces | 8760 |

Level of complexity | 23 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Sidpixhi |

Conjugate | Great hexacosifaceted prismatodishecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 1200 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small hexacosifaceted prismatodishecatonicosachoron**, or **six fipady**, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 1200 triangular prisms, and 120 small rhombicosidodecahedra. One dodecahedron, three triangular prisms, and three small rhombicosidodecahedra join at each vertex.

It also has 600 tetrahedra and 720 pentagonal 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 disprismatohexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#456).

- Klitzing, Richard. "six fipady".