polytope

Definitions

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.

Equivalents

Examples

“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.”

CEFR level