Math, asked by rumaan1, 1 year ago

what is a convex polyhedron

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Answered by porashpw
0
algebraically as the set of solutions to a system of linear inequalities



where  is a real  matrix and  is a real -vector. Although usage varies, most authors additionally require that a solution be bounded for it to qualify as a convex polyhedron. A convex polyhedron may be obtained from an arbitrary set of points by computing the convex hullof the points. The surface defined by a set of inequalities may be visualized using the command RegionPlot3D[ineqs, x, xmin, xmax, y, ymin, ymax, z, zmin, zmax]. The method of vertex enumeration(Fukuda and Mizukoshi) can also be used to determine the faces of the resulting polyhedron directly.

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