English

Optimality of Gerver's Sofa

Metric Geometry 2024-12-02 v1 Combinatorics Optimization and Control

Abstract

We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area 2.21952.2195\cdots.

Cite

@article{arxiv.2411.19826,
  title  = {Optimality of Gerver's Sofa},
  author = {Jineon Baek},
  journal= {arXiv preprint arXiv:2411.19826},
  year   = {2024}
}

Comments

119 pages, 21 figures

R2 v1 2026-06-28T20:17:01.057Z