Some special cases of Bang’s inequality
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- by Henry F. Hunter PDF
- Proc. Amer. Math. Soc. 117 (1993), 819-821 Request permission
Abstract:
Bang’s inequality concerning the relative widths of $n$ planks covering a convex body is considered. Proofs are given that show just when equality occurs for two special cases in the plane, namely, two planks covering any convex body and three planks covering a triangle.References
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A. Tarski, Further remarks about the degree of equivalence of polygons, Odbitka z Parametru 2 (1932), 310-314.
- Thøger Bang, A solution of the “plank problem.”, Proc. Amer. Math. Soc. 2 (1951), 990–993. MR 46672, DOI 10.1090/S0002-9939-1951-0046672-4
- W. Fenchel, On Th. Bang’s solution of the plank problem, Mat. Tidsskr. B 1951 (1951), 49–51. MR 47347
- D. Ohmann, Eine Abschätzung für die Dicke bei Überdeckung durch konvexe Körper, J. Reine Angew. Math. 190 (1952), 125–128 (German). MR 53540, DOI 10.1515/crll.1952.190.125
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 819-821
- MSC: Primary 52A10; Secondary 52A40
- DOI: https://doi.org/10.1090/S0002-9939-1993-1145419-5
- MathSciNet review: 1145419