Publication

Card Shuffling Visualizations

Roger Antonsen
Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
@InProceedings{Antonsen18,
  author =       {Roger Antonsen},
  title =        {Card Shuffling Visualizations},
  booktitle =    {Proceedings of Bridges 2018: Mathematics, Art,
                  Music, Architecture, Education, Culture},
  year =         2018,
  note =         {To Appear}
}	  

Abstract

This paper discusses a few natural ways to visualize card shuffles, like the perfect in- and out-shuffle and the emph{milk shuffle}. These visualizations are designed to highlight interesting properties of the shuffles, like the emph{order} of the shuffles and the emph{stay-stack principle}. Such properties have attracted magicians and mathematicians alike, and visualizations like these make it possible to see properties that would have been hard to see otherwise.