# Snub bitetrahedral diacositetracontachoron

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Snub bitetrahedral diacositetracontachoron | |
---|---|

File:Snub bitetrahedral diacositetracontachoron.png | |

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Sobted |

Elements | |

Cells | 1440 phyllic disphenoids, 240 snub tetrahedra |

Faces | 480+480 triangles, 1440 isosceles triangles, 2880 scalene triangles |

Edges | 1440+1440+1440 |

Vertices | 720 |

Vertex figure | Dipentaditritriangular dodecahedron |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Dipentaditritridodecahedral heptacosicosachoron |

Abstract & topological properties | |

Flag count | 63360 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}●H_{3}, order 2880 |

Convex | Yes |

Nature | Tame |

The **snub bitetrahedral diacositetracontachoron** or **sobted** is a convex isogonal polychoron that consists of 240 snub tetrahedra and 1440 phyllic disphenoids. 4 snub tetrahedra and 8 phyllic disphenoids join at each vertex. However, it cannot be made uniform.

It is the convex hull of the small prismated chirohecatonicosachoron.

The ratio between the longest and shortest edges is 1: ≈ 1:2.32802.

## Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora:

- Snub tetrahedron (240): Bitetrahedral diacositetracontachoron