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Sets of constant width contained in a set of given minimal width
Published online by Cambridge University Press: 26 February 2010
Extract
In this note it is shown that
(i) there is a plane convex set of minimal width λ which does not contain any convex set whose width is constant and greater than λ/(3—31/2),
(ii) every plane convex set of minimal width λ contains a convex set whose width is constant and is equal to λ/(3—31/2).
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- Copyright © University College London 1955
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