In a recent video by Numberphile, University of California, Berkeley math professor David Eisenbud demonstrates the complicated procedure needed to draw a heptadecagon–a 17-sided figure–using just a compass and ruler. Carl Friedrich Gauss first proved the method in 1796.
In a separate video on the accompanying channel Numberphile2, Eisenbud gets into greater detail about the mathematics behind the figure and Fermat primes.
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