The Mathematics of Perfect n-Shuffles

dc.contributor.advisor	Schoen, Carl P.
dc.contributor.author	Peters, Shawn
dc.date.accessioned	2011-11-29T19:59:00Z
dc.date.available	2011-11-29T19:59:00Z
dc.date.issued	2011-05
dc.identifier.uri	http://digital.library.wisc.edu/1793/55350
dc.description	Color poster with text and images.	en
dc.description.abstract	The purpose of this project has been to analyze and generalize the behavior of playing cards as they move through the deck via perfect shuffles. Using concepts based in number theory and abstract algebra, these movements can be followed and card positions can be predicted. A generalized equation has resulted for the number of perfect n-shuffles taken to return the deck to its original state, and another equation for predicting where the dth card will be in the deck after k shuffles.	en
dc.description.sponsorship	University of Wisconsin--Eau Claire Office of Research and Sponsored Programs	en
dc.language.iso	en_US	en
dc.relation.ispartofseries	USGZE AS589	en
dc.subject	Mathematics	en
dc.subject	Card shuffling--Analysis	en
dc.subject	Posters	en
dc.title	The Mathematics of Perfect n-Shuffles	en
dc.type	Presentation	en