ENGLISH DICTIONARY

Polytope

Definition, Meaning & Examples

Pronunciation /ˈpɒlɪˌtəʊp/ · Part of speech noun

Quick meaning: Polytope is a noun meaning (geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of n-dimensional space bounded by hyperplanes.

Meaning

(geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of n-dimensional space bounded by hyperplanes.

Example Sentences

As is well known, the theory of linear inequalities is closely related to the study of convex polytopes.
Verify the Hirsch conjecture for the 3-cube, 4-cube and any other polytope that takes your fancy. The Steinitz theorem is a very satisfactory understanding of the graphs of three-dimensional polytopes.
This polytope is mapped into a Cartesian force polytope (resp. torque polytope) in the Cartesian space. Such a polytope represents the exact force (resp. torque) that can be produced on the vehicle main body.

Word Forms

Related Words

Related dictionary entries include permutohedron, demihypercube, polymatroid, apeirotope, honeycomb, content.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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