# Decagonal duotegum

Revision as of 19:12, 19 March 2021 by Username5243 (talk | contribs)

Decagonal duotegum | |
---|---|

Rank | 4 |

Type | Noble |

Space | Spherical |

Bowers style acronym | Dedit |

Info | |

Coxeter diagram | m10o2m10o |

Symmetry | I2(10)≀S2, order 800 |

Army | Dedit |

Regiment | Dedit |

Elements | |

Vertex figure | Decagonal tegum |

Cells | 100 tetragonal disphenoids |

Faces | 200 isosceles triangles |

Edges | 20+100 |

Vertices | 20 |

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

Edge lengths | Base (20): 1 |

Lacing (100): | |

Circumradius | |

Inradius | |

Central density | 1 |

Euler characteristic | 0 |

Related polytopes | |

Dual | Decagonal duoprism |

Conjugate | Decagrammic duotegum |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **decagonal duotegum** or **dedit**, also known as the **decagonal-decagonal duotegum**, the **10 duotegum**, or the **10-10 duotegum**, is a noble duotegum that consists of 100 tetragonal disphenoids and 20 vertices, with 20 cells joining at each vertex. It is also the 20-9 step prism. It is the first in an infinite family of isogonal decagonal hosohedral swirlchora and also the first in an infinite family of isochoric decagonal dihedral swirlchora.

## Vertex coordinates[edit | edit source]

The vertices of a decagonal duotegum based on 2 decagons of edge length 1, centered at the origin, are given by: