A Net to Hold a Sphere

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Abstract
Problem. A net is made of string round a unit sphere, so that the sphere cannot slip out of it. How long need the string be?This problem was offered by me as a “Contest Problem” to undergraduates of Cambridge last Lent Term and a correct solution was given by Mr. R. Schwarzenberger of Trinity College. I am publishing my own solution, as his solution is considerably more complicated.

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