====== The Moving Sofa problem ======

>The moving sofa problem is a well-known unsolved problem in geometry, first posed by Leo Moser in 1966, It asks: //"What is the planar shape of maximal area that can be moved around a right-angled corner in a hallway of unit width?"//  We refer to a connected planar shape that can be moved around a corner in a hallway as described in the problem as a moving sofa shape, or simply a moving sofa.\\ \\ Source :[[https://arxiv.org/pdf/1706.06630|Improved upper bounds in the moving sofa problem]] {{:oa_padlock_grn.png?16}}

The exact value of the so-called 'sofa constant' is an open problem - although theory and computer-assisted calculations suggest that it's between 1.57 and 2.37

For recent (2022) progress see [[https://www.mdpi.com/2073-8994/14/7/1409|A Numerical Approach for Analysing the Moving Sofa Problem]] {{:oa_padlock_grn.png?16}}//Symmetry,// Volume 14, Issue 7.