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Mascheroni Circles

A geometric construction made using compass alone

A geometric construction made using compass alone

Here is my latest piece of “math music”: a geometry proof, turned into a puzzle, that is set as music for one or more players. One player starts with the first circle, and the others join in, cooperating to find a way to sing or play all 22 circles. The rules for the game are on the last page of the score. (Extra bonus points if you can also sing or play all 22 points – that makes it much harder!)

I’ve recorded one realization of this piece for inclusion on the upcoming Anathem CD, and my friend Jim Bennett has worked up a number of alternate performances, which I hope to post here.