# Hexagonal disphenoid

Jump to navigation
Jump to search

Hexagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Notation | |

Bowers style acronym | Hedow |

Elements | |

Tera | 12 hexagonal scalenes |

Cells | 36 tetragonal disphenoids, 12 hexagonal pyramids |

Faces | 72 isosceles triangles, 2 hexagons |

Edges | 12+36 |

Vertices | 12 |

Vertex figure | Hexagonal scalene |

Measures (edge length 1) | |

Edge lengths | Edges of base hexagons (12): 1 |

Lacing edges (36): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Hidow |

Regiment | Hidow |

Dual | Hexagonal disphenoid |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | G_{2}▲S_{2}, order 288 |

Convex | Yes |

Nature | Tame |

The **hexagonal disphenoid** or **hidow** is a convex noble polyteron with 12 hexagonal scalenes as facets. 8 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.