Differential Equations and Exact Solutions in the Moving Sofa Problem

DOI10.1080/10586458.2016.1270858zbMath1401.49064arXiv1606.08111OpenAlexW2472636575WikidataQ61311777 ScholiaQ61311777MaRDI QIDQ4689859

Dan Romik

Publication date: 22 October 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08111

zbMATH Keywords

ordinary differential equationgeometric optimizationalgebraic numbermoving sofa problem

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Improved upper bounds in the moving sofa problem ⋮ MovingSofas

Uses Software

• Mathematica

Cites Work

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• Unsolved problems in geometry
• On moving a sofa around a corner
• An approximation method for solving the sofa problem
• The Sofa Problem

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