This is my new favorite @vihartvihart video. Beautiful details in the storytelling. https://www.youtube.com/watch?v=X1E7I7_r3Cw … #pythagorus #math #irrational
@MathforLove It arises naturally as the ratio of the side to a diagonal in the regular pentagon, which had mystical significance for them.
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@MathforLove There, you can actually see phi's continued fraction: the Euclidean algorithm gives you pentagons within pentagons ad infinitum -
@MathforLove It's an even simpler argument than the classical one Ms. Hart rushes through for the irrationality of the square root of two. - 2 more replies
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