Trisection, Pythagorean Angles, and Gaussian Integers
نویسنده
چکیده
Pythagorean angles, that is angles with rational sines and cosines, provide an interesting environment for studying the question of characterizing trisectable angles. The main result of this paper shows that a Pythagorean angle is trisectable if and only if it is three times some other Pythagorean angle. Using the Euclidean parametrization of Pythagorean angles, this result allows an effective listing of all trisectable Pythagorean angles. The arguments of the paper describe and use many of the interesting properties of the Gaussian integers. Department of Mathematics Cornell University Ithaca, New York 14853 July 21, 2011
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