Paper by Erik D. Demaine

Erik D. Demaine and Martin L. Demaine, “Juggling and Card Shuffling Meet Mathematical Fonts”, in Connections in Discrete Mathematics: In Honor of Ron Graham's 80th Birthday, to appear, Cambridge University Press.

We explore two of Ron Graham's passions—juggling patterns and perfect card shuffling—through one of our passions, mathematical fonts. First, for each letter of the English alphabet, we design a one-person three-ball juggling pattern where the balls trace out the letter (possibly rotated 90°). Second, using a deck of 26 cards labeled A through Z, we show how to perform a sequence of in/out perfect riffle shuffles to display any desired sequence of letters (forming a word, phrase, etc.), using algorithms already developed by Diaconis and Graham. Along the way, we pose some new open problems about perfect shuffling.

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Last updated July 25, 2017 by Erik Demaine.