# Ditrigonal prism

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Ditrigonal prism | |
---|---|

Rank | 3 |

Type | Semi-uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dittip |

Coxeter diagram | x y3z |

Elements | |

Faces | 3+3 rectangles, 2 ditrigons |

Edges | 6+6+6 |

Vertices | 12 |

Vertex figure | Scalene triangle |

Measures (edge lengths a, b (base), c (sides)) | |

Circumradius | |

Volume | |

Dihedral angles | 4–4: 120° |

4–6: 90° | |

Height | c |

Central density | 1 |

Related polytopes | |

Army | Dittip |

Regiment | Dittip |

Dual | Triambic tegum |

Conjugate | Ditetragonal prism |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A2×A1, order 12 |

Convex | Yes |

Nature | Tame |

The **ditrigonal prism** is a prism based on the ditrigon. As such it is a semi-uniform polyhedron with 2 ditrigons and 2 sets of 3 rectangles as faces.

A ditrigonal prism with height 1, and base edges of lengths 1 and occurs as the vertex figure of the rectified small ditrigonary hexacosihecatonicosachoron. Prisms of nonconvex ditrigons occur as the vertex figures of the rectified great ditrigonary hexacosihecatonicosachoron and rectified ditrigonary dishecatonicosachoron.

The general ditrigonal prism can be alternated into a triangular gyroprism.