# Tetrahedral-antitegmatic triacontateron

Jump to navigation
Jump to search

Tetrahedral-antitegmatic triacontateron | |
---|---|

Rank | 5 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3o3o3o3m |

Elements | |

Tera | 30 tetrahedral antitegums |

Cells | 120 triangular antitegums |

Faces | 90+120 rhombi |

Edges | 60+120 |

Vertices | 12+20+30 |

Vertex figure | 12 pentachora, 30 tetrahedral tegums, 20 triangular duotegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small cellidodecateron |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | A_{5}×2, order 1440 |

Convex | Yes |

Nature | Tame |

The **tetrahedral-antitegmatic triacontateron** is a convex isoteric polyteron with 30 identical tetrahedral antitegums as tera. It can be obtained as the dual of the small cellidodecateron.

It can also be constructed as the convex hull of 2 dual hexatera, 2 opposite rectified hexatera, and a dodecateron, all of the same edge length.

Each face of this polyhedron is a rhombus with acute angle and obtuse angle .