Hello, you have come here looking for the meaning of the word polytope. In DICTIOUS you will not only get to know all the dictionary meanings for the word polytope, but we will also tell you about its etymology, its characteristics and you will know how to say polytope in singular and plural. Everything you need to know about the word polytope you have here. The definition of the word polytope will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofpolytope, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
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”, in 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.
^ 1910, A. Boole Stott, Geometrical deduction of semiregular from regular polytopes and space fillings, Verhandelingen of the Koninklijke academy van Wetenschappen width unit Amsterdam, Eerste Sectie 11,1, Amsterdam.
