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/ˈpɒlɪˌtəʊp/ · noun
(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..
As is well known, the theory of linear inequalities is closely related to the study of convex 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.
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.
Use polytope when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Polytope means (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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
As is well known, the theory of linear inequalities is closely related to the study of convex polytopes.
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