2018-01-25

[public] 163K views, 5.75K likes, 105 dislikes audio only

PBS Infinite Series

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You know the Golden Ratio, but what is the Silver Ratio? Learn through active problem-solving at Brilliant:

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RESOURCES

Polygons, Diagonals, and the Bronze Mean by Antonia Redondo

Buitrago

https://link.springer.com/content/pdf/10.1007/s00004-007-0046-x.pdf

Previous Episode

Proving Brouwer's Fixed Point Theorem

/youtube/video/djaSbHKK5yc

Cut a line segment into unequal pieces of lengths a and b such that the ratio a to b is the same as the ratio (a + b) to a --- that is, so that big over medium equals medium over small. This is how you construct the golden ratio Phi. If a rectangle has an aspect ratio of Phi, you can subdivide it forever into a square and another golden rectangle, and make fun logarithmic spirals by connecting the corners.

Written and Hosted by Gabe Perez-Giz

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington

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