# Digonal disphenoid

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Digonal disphenoid | |
---|---|

Rank | 3 |

Space | Spherical |

Bowers style acronym | Didow |

Coxeter diagram | xo oy&#z |

Elements | |

Vertex figure | Isosceles triangle |

Faces | 2+2 isosceles triangles |

Edges | 1+1+4 |

Vertices | 2+2 |

Central density | 1 |

Euler characteristic | 2 |

Related polytopes | |

Army | Didow |

Regiment | Didow |

Dual | Digonal disphenoid |

Conjugate | Digonal disphenoid |

Topological properties | |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{2}×I, order 4 |

Convex | Yes |

Nature | Tame |

The **digonal disphenoid** or **didow** is a type of tetrahedron with two pairs of two identical isosceles triangles for faces. It can be considered to be the digonal version of an antipodium.

Digonal disphenoids can be obtained as the pyramid product of two dyads of different length.

## In vertex figures[edit | edit source]

A total of 6 uniform polychora have digonal disphenoids for vertex figures, including the tesseractihexadecachoron, hexacosihecatonicosachoron, small hecatonicosihecatonicosachoron, dishecatonicosachoron, great hexacosihecatonicosachoron, and great hecatonicosihecatonicosachoron. They are also the vertex figures of any duoprism with non-identical base polygons.