Authors: Philip Gibbs
A covering problem posed by Henri Lebesgue in 1914 seeks to find the convex shape of smallest area that contains a subset congruent to any point set of unit diameter in the Euclidean plane. Methods used previously to construct such a covering can be refined and extended to provide an improved upper bound for the optimal area. An upper bound of 0.8440935944 is found.
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[v1] 2018-01-22 15:19:04
[v2] 2019-08-08 08:35:04
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