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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 Sierpinskiamp;#39;s triangle. I learned about this from a former CS lecturer of mine, his nameamp;#39;s Keith Schwartz, and Iamp;#39;ve gotta say, this man is one of the best educators Iamp;#39;ve 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. In case youamp;#39;re unfamiliar, letamp;#39;s just lay down what the Towers of Hanoi puzzle actually is. So you have a collection of three pegs, and you have these disks of descending size. You think of these disks as having a hole in the middle so that you can fit them onto a peg. The setup pictured here has five disks, which Iamp;#39;ll label 0, 1, 2, 3, 4, but in principle, you could have as many disks as you want. So they all start up stacked up from
