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Abstract:
Or how about this one: can you color each point of the plane with one of
three colors, in a nontrivial way, such that no straight line contains
points of all three colors? Right now you should be asking yourself: "Why
did he say 'odd'?" and "What does nontrivial mean?" You should then answer
the question. Anyway, during this talk, these questions (and more!) will
be answered. The solutions involve a bit of topology, a bit of number
theory, and, frankly, a bit of magic.
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