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Some special cases of Bang's inequality

Author: Henry F. Hunter
Journal: Proc. Amer. Math. Soc. 117 (1993), 819-821
MSC: Primary 52A10; Secondary 52A40
MathSciNet review: 1145419
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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 [Enhancements On Off] (What's this?)

  • [1] A. Tarski, Further remarks about the degree of equivalence of polygons, Odbitka z Parametru 2 (1932), 310-314.
  • [2] T. Bang, A solution of the "plank problem", Proc. Amer. Math. Soc. 2 (1951), 990-993. MR 13:769 MR 0046672 (13:769a)
  • [3] W. Fenchel, On Th. Bang's solution of the plank problem, Mat. Tidsskr. B 1951 (1951), 49-51. MR 13: 863. MR 0047347 (13:863c)
  • [4] D. Ohmann, Eine abschätzung für die dicke bei Überdeckung durch konvexe Körper, J. Reine Angew. Math. 190 (1952), 125-128. MR 14:788 MR 0053540 (14:788b)

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