Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed.
00:00 Intro
07:07 Pythagorean triple tree
13:44 Pythagoras’s other tree
16:02 Feuerbach miracle
24:28 Life lesson
26:10 The families of Plato, Fermat and Pythagoras
30:45 Euclid’s Elements and some proofs
37:57 Fibonacci numbers are special
40:38 Eugen Jost’s spiral
41:20 Thank you!!!
42:27 Solution to my pearl necklace puzzle
The two preprints by H. Lee Price and and Frank R. Bernhart and another related paper by the same authors:
The wiki page on Pythagorean triples is very good and very comprehensive
Wiki page on Pythagorean triple trees
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