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.
- 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.
- 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.
- 1964, Victor Klee, On the Number of Vertices of a Convex Polytope, Canadian Journal of Mathematics, Volume XVI, Number 4, page 701 ↗,
- French: polytope
- German: Polytop
- Italian: politopo
- Portuguese: politopo
- Russian: полиэ́др
- Spanish: politopo
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