# parallelotope

A parallelotope^{} is the covering term used to denote any element of the series of geometric objects generalizing the parallelogram^{}:

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View SVGparallelotope.svg

The hypercube is formed by moving the parallelepiped^{} in a fourth direction, thus creating a 4-dimensional object bounded^{} by 8 parallelepipeds (2 for each axis of freedom). The volume of an n-parallelotope can be calculated by taking the product of its lengths in each dimension or by taking the absolute value^{} of the determinant of the vectors spanning it.

Title | parallelotope |
---|---|

Canonical name | Parallelotope |

Date of creation | 2013-03-22 17:37:35 |

Last modified on | 2013-03-22 17:37:35 |

Owner | slider142 (78) |

Last modified by | slider142 (78) |

Numerical id | 13 |

Author | slider142 (78) |

Entry type | Definition |

Classification | msc 51M20 |

Related topic | parallelogram |

Related topic | parallelepiped |

Related topic | Parallelogram |