How to cage an egg
- Cite this article as:
- Schramm, O. Invent Math (1992) 107: 543. doi:10.1007/BF01231901
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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.