Inventiones mathematicae

, Volume 107, Issue 1, pp 543–560 | Cite as

How to cage an egg

  • Oded Schramm
Article

Summary

This paper proves that given a convex polyhedronP ⊂ ℝ3 and a smooth strictly convex bodyK ⊂ ℝ3, 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.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Oded Schramm
    • 1
  1. 1.Department of MathematicsUniversity of California, San DiegoLa JollaUSA

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