This is my new favorite @vihartvihart video. Beautiful details in the storytelling. https://www.youtube.com/watch?v=X1E7I7_r3Cw … #pythagorus #math #irrational
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@MathforLove For the Pythagoreans, rational numbers were continued fractions, and the golden ratio has the simplest inf. continued fraction. -
@MathforLove It arises naturally as the ratio of the side to a diagonal in the regular pentagon, which had mystical significance for them. - 4 more replies
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@MathPrinceps She is speedy. I'd never heard that phi was the first proven irrational. Just keep drawing stars then to prove it? -
@MathforLove Yes, that's right. Extremely simple application of the Euclidean algorithm. Initial state recurs, so it can never terminate - 6 more replies
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