# Triangular duocomb

Jump to navigation
Jump to search

Triangular duocomb | |
---|---|

Rank | 3 |

Type | Regular |

Space | Spherical, 4-dimensional |

Notation | |

Schläfli symbol | |

Elements | |

Faces | 9 squares |

Edges | 18 |

Vertices | 9 |

Vertex figure | Skew square, edge length √2, length 1 between opposite vertices |

Petrie polygons | 6 skew hexagons |

Measures (edge length 1) | |

Surface area | 9 |

Related polytopes | |

Army | Triddip |

Regiment | Triddip |

Dual | Triangular duocomb |

Abstract properties | |

Euler characteristic | 0 |

Schläfli type | {4,4} |

Topological properties | |

Surface | Torus |

Orientable | Yes |

Genus | 1 |

Properties | |

Symmetry | A_{2}≀S_{2}, order 72 |

The **triangular duocomb** is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two triangles, or the modified Schläfli symbol . It has 9 square faces, 18 edges, and 9 vertices. It is a self-dual polyhedron.

## Vertex coordinates[edit | edit source]

The triangular duocomb shares its vertices and edges with the triangular duoprism, so its coordinates are

## External links[edit | edit source]

Wikipedia Contributors. Regular skew polyhedron

Klitzing, Richard. Skew polytopes

Klitzing, Richard. Regular maps