How to cage an egg |
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Authors: | Oded Schramm |
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Institution: | (1) Department of Mathematics, University of California, San Diego, 92093 La Jolla, CA, USA |
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Abstract: | Summary This paper proves that given a convex polyhedronP 3 and a smooth strictly convex bodyK 3, there is some convex polyhedronQ combinatorically equivalent toP whichmidscribes K; that is, all the edges ofQ are tangent toK. Furthermore, with some stronger smoothness conditions on K, the space of all suchQ is a six dimensional differentiable manifold.Oblatum 18-V-1991 |
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