Math 2.0

Convex and discrete geometry Polytopes and polyhedra Concept

Simple polytope

Summary

A simple polytope is a convex polytope of dimension dd in which every vertex lies on exactly dd edges. Near each vertex it then looks like the corner of a cube. Simple polytopes are the duals of simplicial polytopes, so results about one class translate into results about the other. Polytopes given by inequalities in general position are simple, which makes them the generic case in linear programming.

Further reading

  1. Web https://en.wikipedia.org/wiki/Simple_polytope
About this page
Tag7E6FXTGH2Y
URIm2://7E6FXTGH2Y
Kindconcept
WritingW0 stub
MSC52B05, 52B11, 52B12
SpecializesConvex polytope
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