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  • 1 Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, P.O. Box 127, Hungary H-1364
  • 2 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA
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Abstract  

The least area α2 of a convex set in the plane large enough to contain a congruent copy of every closed curve of length two lies between 0.385 and 0.491, as has been known for more than 38 years. We improve these bounds by showing that 0.386 < α2 < 0.449.

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