We study the computation of rotation-invariant similarity measures of convex polyhedra, based on Minkowski's theory of mixed volumes. To compute the similarity measure, a (mix...
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
A famous theorem by Cauchy states that a convex polyhedron is determined by its incidence structure and face-polygons alone. In this paper, we prove the same for orthogonal polyhe...
A convex polyhedron P is equiprojective if, for some k, the orthogonal projection (or “shadow”) of P in every direction, except those directions parallel to faces of P, is a k...