Selected Proofs on Coverings by Planks and Cylinders

Part of the CMS Books in Mathematics book series (CMSBM)


Lemma 10.1.1 If a convex body K in \(\mathbb{E}^d\),d ≥2 is covered by the planks P 1 and P 2, then w C(P 1) + w C(P 2) ≥ w C(K) for any convex body C in \(\mathbb{E}^d\).


Unit Ball Convex Body Linear Subspace Constant Width Surface Area Measure 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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