parallelotope en · NOUN
Pronunciation
- (US) audio
Etymology
Blend of parallelogram + polytope. Popularized by Canadian geometer H.S.M. Coxeter.
Meanings
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A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.
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.
It has 2ᵏ gyrovertices, k#43;1 of which are the gyropoints of S, and k 2#123;k-1#125; gyroedges, in full analogy with parallelotopes.
2015, Abraham Albert Ungar, Analytic Hyperbolic Geometry in N Dimensions, Taylor & Francis (CRC Press), page 187:1983 [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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| parallelotopes | Number=Plur | lexicographic |
Translations (2)
de Parallelotop (generalization of parallelogram and parallelepiped) · fr parallélotope (generalization of parallelogram and parallelepiped)