Abstract
In August 1989 I taught at the International Summer Institute in Long Island, New York. A fine international contingent of gifted high school students for the first time included a group from the Soviet Union. Some members of this group turned out to be mathematics Olympiad “professionals,” winners of the Soviet Union National Mathematics and Physics Olympiads. There was nothing in the Olympiad genre that they did not know. There was no point in teaching these kids problem solving. Instead I offered them – and everyone else – an introduction to certain areas of combinatorial geometry. We quickly reached the forefront of mathematics, full of open problems.
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