# Heptagonal duotegum

Jump to navigation
Jump to search

Heptagonal duotegum | |
---|---|

Rank | 4 |

Type | Noble |

Notation | |

Bowers style acronym | Hedit |

Coxeter diagram | m7o2m7o () |

Elements | |

Cells | 49 tetragonal disphenoids |

Faces | 98 isosceles triangles |

Edges | 14+49 |

Vertices | 14 |

Vertex figure | Heptagonal tegum |

Measures (based on heptagons of edge length 1) | |

Edge lengths | Base (14): 1 |

Lacing (49): | |

Circumradius | |

Inradius | |

Central density | 1 |

Related polytopes | |

Army | Hedit |

Regiment | Hedit |

Dual | Heptagonal duoprism |

Conjugates | Heptagrammic duotegum, great heptagrammic duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(7)≀S_{2}, order 392 |

Convex | Yes |

Nature | Tame |

The **heptagonal duotegum** or **hedit**, also known as the **heptagonal-heptagonal duotegum**, the **7 duotegum**, or the **7-7 duotegum**, is a noble duotegum that consists of 49 tetragonal disphenoids and 14 vertices, with 14 cells joining at each vertex. It is also the 14-6 step prism. It is the first in an infinite family of isogonal heptagonal hosohedral swirlchora and also the first in an infinite family of isochoric heptagonal dihedral swirlchora.

This article is a stub. You can help Polytope Wiki by expanding it. |