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The 32-sided truncated icosahedron forms the basis of many footballs (soccer balls!). It's also a big deal in chemistry. sixtysymbols video on footballs: http://www.youtube.com/watch?v=55M1cq62m2c periodicvideos video on buckyballs: http://www.youtube.com/watch?v=ljF5QhD5hnI This video featured Dr James Grime at Nottingham Forest's stadium, The City Ground. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Videos by Brady Haran Brady's other channels include: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the scenes) http://www.youtube.com/foodskey (Food science) http://www.youtube.com/BackstageScience (Big science facilities) http://www.youtube.com/favscientist (Favourite scientists) http://www.youtube.com/bibledex (Academic look at the Bible) http://www.youtube.com/wordsoftheworld (Modern language and culture) http://www.youtube.com/PhilosophyFile (Philosophy stuff)