Title

Perfect Shuffling

Date

5-30-2013 9:00 AM

Location

Math and Nursing Building (MNB) 104

Department

Mathematics

Session Chair

Hamid Behmard

Session Title

Mathematics Senior Project Presentations 2

Faculty Sponsor(s)

Cheryl Beaver

Presentation Type

Symposium

Abstract

Using a system of equations to model the output of perfect shuffles provides fascinating relationships between the original card position, rational numbers, orbits, and the corresponding binary representations. These relationships can be used to determine when particular cards return to their starting positions and link deck sizes directly to orbit lengths.

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May 30th, 9:00 AM

Perfect Shuffling

Math and Nursing Building (MNB) 104

Using a system of equations to model the output of perfect shuffles provides fascinating relationships between the original card position, rational numbers, orbits, and the corresponding binary representations. These relationships can be used to determine when particular cards return to their starting positions and link deck sizes directly to orbit lengths.