On moving a sofa around a corner

I just thought it was a cool title for a paper (if anyone has read it, let me know if it is any good):

On moving a sofa around a corner

in Geometriae Dedicata, Volume 42, Number 3, June 1992

Joseph L. Gerver

A necessary condition is given for a region of the plane to have the greatest possible area of any region able to move around a right-angled corner in a hallway of unit width. A region is constructed, with area 2.2195… and bounded by 18 analytic pieces, which satisfies this condition. It is conjectured that this is the unique region of maximum area.

Published by

Daniel Lemire

A computer science professor at the University of Quebec (TELUQ).

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