Happy 2012! I hope you all has a restful and calorie-filled holiday. For my part, the holidays typically involve a fair amount of driving, and ergo, a fair amount of listening to podcasts. To that end, I’d like to ease into a new year of mathematics by considering a simple puzzle, one which was featured recently on NPR’s Car Talk. If you are not fortunate enough to have listened to this show, it centers on two brothers from Cambridge, Massachusetts, affectionately known as Click and Clack, the Tappet Brothers (though their real names are Tom and Ray Magliozzi). Each week, in between a fair amount of good-natured banter, the brothers field a variety of automotive questions from callers nationwide.
Most significant to our present discussion, however, is Car Talk’s weekly diversion known as the Puzzler. Each . . . → Read More: Car Talk Mathematics