# Square duocomb

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Square duocomb | |
---|---|

Rank | 3 |

Type | Regular |

Space | Spherical, 4-dimensional |

Notation | |

Schläfli symbol | |

Elements | |

Faces | 16 squares |

Edges | 32 |

Vertices | 16 |

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

Petrie polygons | 8 skew octagons |

Measures (edge length 1) | |

Surface area | 16 |

Related polytopes | |

Army | Tes |

Regiment | Tes |

Dual | Square duocomb |

Abstract properties | |

Flag count | 128 |

Euler characteristic | 0 |

Schläfli type | {4,4} |

Topological properties | |

Surface | Flat torus |

Orientable | Yes |

Genus | 1 |

The **square duocomb** is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two squares, or the from the extended Schläfli symbol . It has 16 square faces, 32 edges, and 16 vertices. It is a self-dual polyhedron.

## Vertex coordinates[edit | edit source]

The square duocomb shares its vertices and edges with the tesseract, so its coordinates are

## Related polytopes[edit | edit source]

The square duocomb appears as the facet of the petrial tesseract, which is a regular skew polychoron.

## External links[edit | edit source]

- Wikipedia Contributors. "Regular skew polyhedron".
- Klitzing, Richard. Skew polytopes
- Hartley, Michael. "{4,4}*128".

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