polytope

Noun

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Noun

**polytope** (*plural* polytopes)

- (
*geometry*) A finite region of*n*-dimensional space bounded by hyperplanes (a geometric shape with flat sides, existing in any number of dimensions); the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".**1964**, Victor Klee,*On the Number of Vertices of a Convex Polytope*,*Canadian Journal of Mathematics*, Volume XVI, Number 4, page 701 ↗,- As is well known, the theory of linear inequalities is closely related to the study of convex
**polytopes**.

- As is well known, the theory of linear inequalities is closely related to the study of convex
**1998**, F. Pierrot, M. Benoit, P. Dauchez,*SamoS: A Pythagorean Solution for Omnidirectional Underwater Vehicles*, Jadran Lenar I, Manfred L. Husty (editors),*Advances in Robot Kinematics: Analysis and Control*, page 220 ↗,- 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.

- This
**2006**, Rekha R. Thomas,*Lectures in Geometric Combinatorics*, page 27 ↗,- 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**.

- Verify the Hirsch conjecture for the 3-cube, 4-cube and any other

- French: polytope
- German: Polytop
- Italian: politopo
- Portuguese: politopo
- Russian: полиэ́др
- Spanish: politopo

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.004