**Reference**:- Daniel Kane, Gregory N. Price, and Erik D. Demaine, “A pseudopolynomial algorithm for Alexandrov's Theorem”, in
*Proceedings of the 11th Algorithms and Data Structures Symposium (WADS 2009)*, Lecture Notes in Computer Science, volume 5664, Banff, Alberta, Canada, August 21–23, 2009, pages 435–446. **Abstract**:- Alexandrov's Theorem states that every metric with the global topology and local geometry required of a convex polyhedron is in fact the intrinsic metric of some convex polyhedron. Recent work by Bobenko and Izmestiev describes a differential equation whose solution is the polyhedron corresponding to a given metric. We describe an algorithm based on this differential equation to compute the polyhedron to arbitrary precision given the metric, and prove a pseudopolynomial bound on its running time.
**Comments**:- This paper is also available from SpringerLink.
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Last updated January 18, 2021 by Erik Demaine.