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