# Tridecagonal duotegum

Jump to navigation
Jump to search

Tridecagonal duotegum | |
---|---|

Rank | 4 |

Type | Noble |

Space | Spherical |

Notation | |

Bowers style acronym | Taddit |

Coxeter diagram | m13o2m13o |

Elements | |

Cells | 169 tetragonal disphenoids |

Faces | 338 isosceles triangles |

Edges | 26+169 |

Vertices | 26 |

Vertex figure | Tridecagonal tegum |

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

Edge lengths | Base (26): 1 |

Lacing (169): | |

Circumradius | |

Inradius | |

Central density | 1 |

Related polytopes | |

Army | Taddit |

Regiment | Taddit |

Dual | Tridecagonal duoprism |

Conjugates | Small tridecagrammic duotegum, tridecagrammic duotegum, medial tridecagrammic duotegum, great tridecagrammic duotegum, grand tridecagrammic duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(13)≀S_{2}, order 1352 |

Convex | Yes |

Nature | Tame |

The **tridecagonal duotegum** or **taddit**, also known as the **tridecagonal-tridecagonal duotegum**, the **13 duotegum**, or the **13-13 duotegum**, is a noble duotegum that consists of 169 tetragonal disphenoids and 26 vertices, with 26 cells joining at each vertex. It is also the 26-12 step prism. It is the first in an infinite family of isogonal tridecagonal hosohedral swirlchora and also the first in an infinite family of isochoric dodecagonal dihedral swirlchora.