Geometriae Dedicata

, Volume 42, Issue 3, pp 267–283 | Cite as

On moving a sofa around a corner

  • 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.


Maximum Area Unique Region Unit Width 
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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Joseph L. Gerver
    • 1
  1. 1.Department of MathematicsRutgers UniversityCamdenUSA

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