#20 - Tangles, Twists and Trots

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Odds and Evenings

Miscellaneous


The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Untangling Planar Graphs The Length of Spirals Juggling and Horse Gaits Show Notes A Picture of Untangle (http://www.gameclassification.com/files/games/Untangle.png) The Criteria for Planarity (https://en.wikipedia.org/wiki/Kuratowski%27s_theorem) The Two Spirals in Desmos (a graphing calculator) (https://www.desmos.com/calculator/xqqafvcbf9) Arc Length in Polar Form Derivation (http://sites.millersville.edu/bikenaga/calculus/arc-length-in-polar/arc-length-in-polar.html) Jakob Bernoulli's Gravestone (https://www.flickr.com/photos/deaddogbarking/4545328000) Horse Gaits on Wikipedia (https://en.wikipedia.org/wiki/Horse_gait) Negative Juggling Simulator (http://juggle.wikia.com/wiki/Impossible_Siteswap_Animator) Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing by Alex Rather fitting spiral anecdote by Alaric Theme music by David Russell - https://youtube.com/DavidRussell323