Way beyond the golden ratio: The power of AB=A+B (Mathologer masterclass)

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Today's mission: saving another incredible discovery from falling into oblivion: Steinbach's amazing infinite family of counterparts of the golden ratio discovered around 1995. Lot's of my own little discoveries in this one :) 00:00 Intro 05:53 Ptolemy 09:18 Perfect cut 16:01 Golden rectangle 22:03 Fibonacci 33:07 A+B=AB 45:48 Images and music 47:27 Thank you! The slide show for this video is made up of a new record of 750 slides! Peter Steinbach's papers articles: Sections beyond golden: https://archive.bridgesmathart.org/2000/bridges2000-35.html Golden fields: a case for the heptagon: h