Polytope

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.