Standard Lemma guide

parallelotope

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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Pronunciation

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1

noun

Meaning 1

A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematics, sciences

Examples

  • 1983 [North Holland/Elsevier], Robert S. Borden, A Course in Advanced Calculus, 1998, Dover, page 83, Suppose now that P is a k-dimensional parallelotope, 1<k<n, in En.
  • 1997, Daniel A. Klain, Gian-Carlo Rota, Introduction to Geometric Probability, Cambridge University Press, Accademia Nazionale dei Lincei, page 30, We develop next a theory of invariant valuations for the lattice of finite unions of orthogonal parallelotopes, having edgers parallel to a fixed frame. [...] This follows from the basic fact that the intersection of two parallelotopes is a parallelotope.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Blend of parallelogram + polytope. Popularized by Canadian geometer H.S.M. Coxeter.

Across languages

Translations

2 source translations are retained for this English entry.

  • French: parallélotope — generalization of parallelogram and parallelepiped
  • German: Parallelotop — generalization of parallelogram and parallelepiped