Wolfram Language

Maximum Volume Cuboid

Find the maximum volume axis-parallel cuboid inscribed in a convex polyhedron . This example uses the new ConicOptimization in Version 12 to find the optimum.

Consider a random convex polyhedron .

A convex polyhedron can be represented as intersections of half-spaces . Extract the coefficients for each side.

Solve the problem.

Show the maximum volume inscribed cuboid.

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