Card Shuffling Visualizations
Roger Antonsen
Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
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.