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Mathematics > Metric Geometry

arXiv:2411.19826 (math)
[Submitted on 29 Nov 2024]

Title:Optimality of Gerver's Sofa

Authors:Jineon Baek
View a PDF of the paper titled Optimality of Gerver's Sofa, by Jineon
Baek
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    Abstract: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
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO);
          Optimization and Control (math.OC)
MSC       49Q10, 49K15, 52A10, 52A41, 90C26
classes:
Cite as:  arXiv:2411.19826 [math.MG]
          (or arXiv:2411.19826v1 [math.MG] for this version)
          https://doi.org/10.48550/arXiv.2411.19826
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Jineon Baek [view email]
[v1] Fri, 29 Nov 2024 16:37:23 UTC (3,039 KB)
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