The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon |
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| Authors: | Naatanen M; Penner R C |
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| Institution: | Department of Mathematics, University of Helsinki 00100 Helsinki, Finland
Mathematics Department, University of Southern California Los Angeles, CA 90089, USA |
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| Abstract: | We describe the construction of Dirichlet domains for a closedsurface in terms of a convex hull construction in Minkowskispace. The equations governing this construction are found tobe analogues of Ptolemy's theorem on cyclic Euclidean quadrilaterals. |
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