17th Annual European Symposium on Algorithms, Copenhagen, Denmark, 7 - 09 September 2009, vol.5757, pp.71-72
A famous theorem by Cauchy states that the dihedral angles of a convex polyhedron are determined by the incidence structure and face-polygons alone. In this paper, we prove the same for orthogonal polyhedra of genus 0 as long as no face has a hole. Our proof yields a linear-time algorithm to find the dihedral angles.