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May 1, 2015 at 22:00 comment added LSpice People seem frequently to re-discover (or re-exposit) the connection here: ams.org/mathscinet/search/… . The (chronologically) first result that search turns up is an AMM article from 1956!
May 10, 2014 at 5:44 comment added Marcus Johnson Another is 'Music and Mathematics', ed. Fauvel, Flood, & Wilson. "Ringers had been ringing leads of Plain Bob for many years before matheaticians came and told them that they were actually ringing cosets."
Jan 6, 2012 at 7:30 comment added Andrés E. Caicedo Another book discussing this practice is "Adventures in group theory" by D. Joyner. The book explores group theory through permutation games (Rubik's cube, the 15 puzzle, ...), which I suppose also qualify as "cool" uses of the theory.
Feb 4, 2010 at 17:49 comment added Mariano Suárez-Álvarez Quite interesting. Wikipedia tells me that in 1963 the full set of permutations on 8 bells was played, for 18 hours (!)
Feb 4, 2010 at 17:37 history answered Victor Miller CC BY-SA 2.5