# Small tesseractifaceted cubitesseractihexadecachoron

(Redirected from Stefacoth)

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Small tesseractifaceted cubitesseractihexadecachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Stefacoth |

Coxeter diagram | |

Elements | |

Cells | 16 tetrahedra, 24 cubes, 8 small rhombicuboctahedra |

Faces | 64 triangles, 48+96 squares |

Edges | 96+96 |

Vertices | 64 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Sirco–4–cube #1: 90° |

Sirco–3–tet: 60° | |

Sirco–4–cube #2: 45° | |

Number of external pieces | 256 |

Level of complexity | 24 |

Related polytopes | |

Army | Sidpith |

Regiment | Sidpith |

Conjugate | Great tesseractifaceted cubitesseractihexadecachoron |

Abstract & topological properties | |

Euler characteristic | 32 |

Orientable | No |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Tame |

The **small tesseractifaceted cubitesseractihexadecachoron**, or **stefacoth**, is a nonconvex uniform polychoron that consists of 16 tetrahedra, 24 cubes, and 8 small rhombicuboctahedra. One tetrahedron, three cubes, and three small rhombicuboctahedra join at each vertex.

It also has 8 cubes and 32 triangular prisms as pseudofacets.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#448).

- Klitzing, Richard. "stefacoth".