Golden Ratio Visual Computation
This is a short, animated visual proof of showing how to compute the value of the golden ratio (which is the positive number satisfying x=1+1/x) without using the quadratic formula explicitly. Instead, we use a Tatami diagram and compute the areas of the included rectangles and squares to find the total area of the outer square in two ways.. #manim #math #mathvideo #goldenratio #goldensection #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #algebra #pww #proof #areas #mathematics #mtbos
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This animation is based on a visual proof by Roger B. Nelsen from the March 2016 issue of The College Math Journal (https://doi.org/10.4169/college.math.... - page 108).
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Music in this video:
Powerful Emotional Trailer by MaxKoMusic | https://maxkomusic.com/
Music promoted by https://www.free-stock-music.com
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