A Fifty Dollar Problem -- Dmytro Karabash, September 25, 2005

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We will classify all bounded closed convex figures F for
which the following is true: for all sets of 5 points in F, there
exists a triangle formed by three distinct point in this set, such
that the area of this triangle is greater than one forth of area of
F.  This is a Fifty Dollar Problem posed 15 years ago in Soifer's
"How Does One Cut a Triangle".  I will finish the talk with many
other interesting questions about Soifer-Erdos function.

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