# Hexagonal double antitegmoid

The **hexagonal double antitegmoid** is a convex isochoric polychoron and member of the double antitegmoid family with 144 order-5 truncated bi-apiculated tetrahedra as cells. It is the first in an infinite family of isochoric hexagonal antitegmatic swirlchora.

Hexagonal double antitegmoid | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 144 order-5 truncated bi-apiculated tetrahedra |

Faces | 288 kites, 144 isosceles trapezoids, 288 mirror-symmetric pentagons |

Edges | 24+144+288+576 |

Vertices | 24+144+288 |

Vertex figure | 288 sphenoids, 144 tetragonal disphenoids, 24 hexagonal antitegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Hexagonal double antiprismoid |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(12)+≀S_{2}×2, order 576 |

Convex | Yes |

Nature | Tame |

Each cell of this polychoron has rectangular pyramidal symmetry, with 4 mirror-symmetric pentagons, 2 isosceles trapezoids, and 4 kites for faces.