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A polyhedron is represented by a structure whose all elements should considered as private. Operations on polyhedra and possibly vectors and matrices assumes compatible dimensions of the parameters. This is checked when possible (we cannot check the compatibility of vectors with matrices or polyhedra).
A polyhedron can be in minimal form or not. In the first case, the constraints, the generators, the saturation matrix, and the dimension of equality and lineality space are available. Otherwise, only the constraints or the generators are available.