Browsing by Author "Biedl T."

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    Cauchy's Theorem for Orthogonal Polyhedra of Genus 0
    (2009) Biedl T.; Genç, Burkay
    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. © 2009 Springer Berlin Heidelberg.