# Small hexacosifaceted trishecatonicosachoron

(Redirected from Saxifthi)

Small hexacosifaceted trishecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Saxifthi |

Elements | |

Cells | 120 great stellated dodecahedra, 120 truncated dodecahedra, 120 small ditrigonal dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagrams, 1440 decagons |

Edges | 3600+3600 |

Vertices | 2400 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Sidditdid–5/2–gissid: 144° |

Sidditdid–10–tid: 108° | |

Sidditdid–3–tid: 60° | |

Number of external pieces | 82200 |

Level of complexity | 341 |

Related polytopes | |

Army | Semi-uniform Sidpixhi, edge lengths (dodecahedra), 1 (tetrahedra) |

Regiment | Shihix |

Conjugate | Great hexacosifaceted trishecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 120 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small hexacosifaceted trishecatonicosachoron**, or **saxifthi**, is a nonconvex uniform polychoron that consists of 120 small ditrigonal dodecicosidodecahedra, 120 great stellated dodecahedra, and 120 truncated dodecahedra. Three small ditrigonal dodecicosidodecahedra, one great stellated dodecahedron, and three truncated dodecahedra join at each vertex.

It also has 600 tetrahedra and 120 truncated great dodecahedra as pseudofacets.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 12: Podiumverts" (#509).