Paper by Erik D. Demaine
- Erik D. Demaine and Martin L. Demaine, “Juggling and Card Shuffling Meet Mathematical Fonts”, in Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham, edited by Steve Butler, Joshua Cooper, and Glenn Hurlbert, 2018, pages 297–304, 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.
- The paper is available in PDF (1949k).
- See information on file formats.
- [Google Scholar search]
- Related papers:
- JuggleShuffle_G4G12 (Secret Messages in Juggling and Card Shuffling)
- Related webpages:
- Juggling Font
Card Shuffling Font
See also other papers by Erik Demaine.
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Last updated March 28, 2023 by