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Today I want to share with you a neat way to solve the towers of Hanoi puzzle just by counting in a different number system, and surprisingly this stuff relates to finding a curve that fills Sierpinski triangle. I learned about this from a former CS lecturer of mine, his name is Keith Schwarz. And Ive got to say, this man is one of the best educators that Ive ever met. I actually recorded a bit of the conversation where he showed me this stuff, so you guys can hear some of what he described directly. Its weird, Im not normally the sort of person who likes little puzzles and games, but I just love looking at the analysis of puzzles and games, and I love just looking at mathematical patterns and (ask): where does that come from? In case you arent unfamiliar, lets just lay down what the towers of Hanoi puzzle actually is. So you have a collection of three pegs, and you have these discs of descending size. You think of these disks as having a hole in the middle, so that you c
