Card Shuffling Visualizations
Roger Antonsen
Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
@inproceedings{Antonsen18,
author = {Roger Antonsen},
title = {Card Shuffling Visualizations},
pages = {451--454},
booktitle = {Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture},
year = {2018},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, and Krist\'of Fenyvesi},
isbn = {978-1-938664-27-4},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
note = {Available online at \url{http://archive.bridgesmathart.org/2018/bridges2018-451.pdf}}
} Abstract
This paper discusses a few natural ways to visualize card shuffles, like the perfect in- and out-shuffle and the milk shuffle. These visualizations are designed to highlight interesting properties of the shuffles, like the order of the shuffles and the 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.
