# Ditetragon

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Ditetragon | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Diteg |

Coxeter diagram | x4y |

Elements | |

Edges | 4+4 |

Vertices | 8 |

Vertex figure | Dyad |

Measures (edge lengths a, b) | |

Circumradius | |

Area | |

Angle | 135° |

Central density | 1 |

Related polytopes | |

Army | Diteg |

Dual | Tetrambus |

Conjugate | Ditetragram |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{2}, order 8 |

Convex | Yes |

Nature | Tame |

The **ditetragon** is a convex semi-uniform octagon. As such it has 8 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a ditetragon measure 135°. If the side lengths are equal, the result is the regular octagon.

## Vertex coordinates[edit | edit source]

A ditetragon with Coxeter diagram a4b has vertex coordinates given by all permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".

- Klitzing, Richard. "Polygons"