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This document summarizes the solution to Problem B3 from the 69th William Lowell Putnam Mathematical Competition. The problem asks about circles contained within the 4-dimensional unit hypercube. It is shown that any such circle can be translated to be centered at the origin. All circles centered at the origin are parametrized as vectors of the form a cosθ + b sinθ, where a and b are orthogonal vectors of equal length. It is then proved that the maximum possible length for a and b, and thus the largest po

Author

Anonymous j6r5KRtrH2

Language

EN