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The optimality of your configuration can be shown as a plain consequence of the Kirszbraun theorem. (I happened to ask myself this problem too, and eventually added this short section in a wiki article, thinking that it could be useful (not one day --not completely true, since your question has been already answered)answered by Mikael de la Salle). |
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I happened to ask myself this problem, and eventually added this short section in a wiki article, thinking that it could be useful (not completely true, since your question has been already answered). |
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