Ferenc Fodor


Minimal area circumscribed quadrangles

     Abstract: One of the classical problems in discrete geometry is the
     approximation of convex shapes by circumscribed polygons of minimal
     area. In the talk, we show that for every convex disk $K$, there
     exists
     a quadrilateral circumscribed about it whose area is less than
     $(1-2.6*10^{-7})\sqrt 2$ times the area of $K$. With this, we
     (slightly)
     improve the result of W. Kuperberg (1983). Joint work with Florian
     Grunbacher (TU Munich).