polytope
Syllables: pol·y·topeUK/ˈpɒlɪˌtəʊp//ˈpɑliˌtoʊp/
polytope noun: 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.
Noun
polytope (plural polytopes)
- 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.
- As is well known, the theory of linear inequalities is closely related to the study of convex polytopes.1964, Victor Klee, On the Number of Vertices of a Convex Polytope: Canadian Journal of Mathematics, volume XVI, number 4, page 701
- 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.1998, F. Pierrot, M. Benoit, P. Dauchez, “SamoS: A Pythagorean Solution for Omnidirectional Underwater Vehicles”, in Jadran Lenar I, Manfred L. Husty, editors, Advances in Robot Kinematics: Analysis...
polytope meaning in Persian
polytope in Persian
- geometric shape
- چندبر
Forms of polytope
| plural | polytopes |
|---|
Origin of polytope
Learned borrowing from German Polytop, originally coined by German mathematician Reinhold Hoppe in 1882, and first used in English by British mathematician Alicia Boole Stott in her 1910 paper Geometrical deduction of semiregular from regular polytopes and space fillings. By surface analysis, poly- (“many”) + -tope (“surface”), from Ancient Greek τόπος (tópos, “region; area”).
Words formed from polytope
- 0-polytope
- 1-polytope
- 2-polytope
- 3-polytope
- 4-polytope
- 5-polytope
- abstract polytope
- Birkhoff polytope
- chiral polytope
- convex polytope
- cross-polytope
- cyclic polytope
- Hanner polytope
- integral polytope
- matroid polytope
- n-polytope
- parallelotope
- pentagonal polytope
- polytopal
- random polytope
- regular polytope
- uniform polytope
- zonotope
Questions about polytope
- What does polytope mean?
- Polytope means 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.
- What is polytope in Persian?
- Polytope in Persian is چندبر. See Polytope meaning in Persian.
- What part of speech is polytope?
- Polytope is a noun.
- How do you pronounce polytope?
- Polytope is pronounced /ˈpɒlɪˌtəʊp/ (UK).
- What is the plural of polytope?
- The plural of polytope is polytopes.
Words near polytope in the dictionary
Source and license
Adapted from Wiktionary: polytope (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-polytope.wav.
Cite this entry: “polytope.” Word.ws, https://word.ws/polytope. Based on Wiktionary, CC BY-SA 4.0.