Problem Contest – Problem of the Week – March 16, 2004
Geometry of a Convex Set: Let S be a convex set in the real plane (that is, if p and q are in S then the line segment pq is contained in S). Do there always exist two perpendicular lines that divide the area of S into four equal pieces? Prove or give a counterexample.
[Problem contributed by Professor Bruce Peterson}
Submit written solution with justification to John Emerson, Warner 312, before 3:00 on Tuesday, March 30. Or leave them in the Warner mailroom.
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