# Duocylinder

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Duocylinder | |
---|---|

Rank | 4 |

Notation | |

Tapertopic notation | 22 |

Toratopic notation | (II)(II) |

Bracket notation | [(II)(II)] |

Elements | |

Cells | 2 tori |

Faces | 1 Clifford torus |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Related polytopes | |

Dual | Duospindle |

Conjugate | None |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | O(2)≀S_{2} |

Convex | Yes |

A **duocylinder** is the Cartesian product of two disks. It is the limit of the n,m-duoprisms as n and m approach infinity, and also the limit of the n-gonal prisminders as n approaches infinity. Its surface consists of two identical tori.

It is a rotatope, thus it is also a toratope, a tapertope, and a bracketope.

Variations of the duocylinder exist where the base circles have different radii. Then the volume is .

## Coordinates[edit | edit source]

Where *r* is the minor radius of one of the cells:

Points on the face of a duocylinder are all points (*x*,*y*,*z*,*w*) such that

Points on the surcell of a duocylinder are all points (*x*,*y*,*z*,*w*) such that

Points in the interior of a duocylinder are all points (*x*,*y*,*z*,*w*) such that

## External links[edit | edit source]

- Wikipedia Contributors. "Duocylinder".
- Hi.gher.Space Wiki Contributors. "Duocylinder".

- Quickfur. "The Duocylinder".