Knots are everywhere in our daily lives, but a new branch of mathematics is taking things to the next level. Hosted by: Hank Green SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.org/ ---------- Support SciShow by becoming a patron on Patreon: https://www.patreon.com/scishow ---------- Huge thanks go to the following Patreon supporters for helping us keep SciShow free for everyone forever: Chris Peters, Matt Curls, Kevin Bealer, Jeffrey Mckishen, Jacob, Christopher R Boucher, Nazara, charles george, Christoph Schwanke, Ash, Silas Emrys, KatieMarie Magnone, Eric Jensen, Adam Brainard, Piya Shedden, Alex Hackman, James Knight, GrowingViolet, Drew Hart, Sam Lutfi, Alisa Sherbow, Jason A Saslow ---------- Looking for SciShow elsewhere on the internet? Facebook: http://www.facebook.com/scishow Twitter: http://www.twitter.com/scishow Tumblr: http://scishow.tumblr.com/ Instagram: http://instagram.com/thescishow ---------- Sources: https://www.quantamagazine.org/graduate-student-solves-decades-old-conway-knot-problem-20200519/ Conway knot and sliceness https://www.youtube.com/watch?v=aqyyhhnGraw Knot theory fundamentals https://www.maths.ed.ac.uk/~v1ranick/papers/murasug3.pdf Knot theory fundamentals and applications https://www.ias.edu/ideas/2011/witten-knots-quantum-theory Knots for quantum mechanics https://www.sciencedaily.com/releases/2016/02/160210170411.htm History and Uses https://www.youtube.com/watch?v=M-i9v9VfCrs Prime knots https://www.youtube.com/watch?v=AxxnziuL408 Knots and DNA https://www.youtube.com/watch?v=W9uVj9rf73E Colouring knots https://the-gist.org/2018/04/mathematical-knots-its-not-what-youd-expect/ Uses Images: https://commons.wikimedia.org/wiki/File:Conway_knot.png https://www.storyblocks.com/video/stock/aerial-view-of-the-inner-city-bypass-airport-link-toll-road-brisbane-city-queensland-australia-sjf00fcjdkq2d7al6 https://en.wikipedia.org/wiki/Prime_knot#/media/File:Knot_table.svg https://commons.wikimedia.org/wiki/File:Blue_Unknot.png https://commons.wikimedia.org/wiki/File:Knot_table-blank_unknot.svg https://www.istockphoto.com/vector/dna-gm1221595944-358144801 https://www.istockphoto.com/vector/math-equations-written-on-a-blackboard-gm1219382595-356664698 https://www.istockphoto.com/photo/business-womans-hands-trying-to-untie-tangled-headphones-close-up-gm946980440-258582618 https://www.istockphoto.com/photo/old-stone-carved-celtic-design-symbol-celtic-knot-gm995458848-269444613 https://commons.wikimedia.org/wiki/File:Quipo_in_the_Museo_Machu_Picchu,_Casa_Concha,_Cusco.jpg https://www.storyblocks.com/video/stock/child-tying-shoes-4k-xwdsnmd https://www.istockphoto.com/photo/pretzel-isolated-on-white-background-salt-and-soft-gm519556165-49548738