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that any polyhedron is equivalent to a cube: it can be decomposed into pieces that later can be used to construct a cube. This showed the requirements for the polyhedral equivalence conditions in terms of the Dehn invariant. Orthogonal polyhedra may also be used in computational geometry, where their constrained structure has enabled advances in problems unsolved for arbitrary polyhedra, for example, unfolding the surface of a polyhedron to a polygonal net.

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