# Decagonal antitegum

The **decagonal antitegum**, also known as the **decagonal trapezohedron**, is an antitegum based on the decagon, constructed as the dual of a decagonal antiprism. It has 20 kites as faces, with 2 order–10 and 20 order–3 vertices. .

Decagonal antitegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Notation | |

Bowers style acronym | Dat |

Coxeter diagram | p2p20o () |

Conway notation | dA10 |

Elements | |

Faces | 20 kites |

Edges | 20+20 |

Vertices | 2+20 |

Vertex figure | 2 decagons, 20 triangles |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Number of external pieces | 20 |

Level of complexity | 4 |

Related polytopes | |

Army | Dat |

Regiment | Dat |

Dual | Decagonal antiprism |

Conjugate | Decagrammic antitegum |

Abstract & topological properties | |

Flag count | 160 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (I_{2}(20)×A_{1})/2, order 40 |

Convex | Yes |

Nature | Tame |

Each face of this polyhedron is a kite with its longer edges times the length of its shorter edges.

## External links edit

- Wikipedia contributors. "Decagonal trapezohedron".