Improved upper bounds in the moving sofa problem

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Improved upper bounds in the moving sofa problem

The moving sofa problem, posed by L. Moser in 1966, asks for the planar shape of maximal area that can move around a right-angled corner in a hallway of unit width. It is known that a maximal area shape exists, and that its area is at least 2.2195 . . .—the area of an explicit construction found by Gerver in 1992—and at most 2 √ 2 ≈ 2.82, with the lower bound being conjectured as the true value...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2018

ISSN: 0001-8708

DOI: 10.1016/j.aim.2018.10.022