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arXiv:2411.19826 [math.MG]AbstractReferencesReviewsResources

Optimality of Gerver's Sofa

Jineon Baek

Published 2024-11-29Version 1

We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area $2.2195\cdots$.

Comments: 119 pages, 21 figures
Categories: math.MG, math.CO, math.OC
Subjects: 49Q10, 49K15, 52A10, 52A41, 90C26
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