Application of mathematics to perfect shufflers

• Main Authors: Victoriano, Clarissa L., Evangelista, Karina C.
• Format: text
• Language: English
• Published: Animo Repository 1998
• Subjects: Card games; Mathematical recreations; Graph theory; Modular arithmetic
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16512
• Institution: De La Salle University

This paper gives us one among all other applications of mathematics in practical ways - specifically, the use of mathematics in perfect shuffles. This study mainly discusses a step-by-step procedure in moving a card at position i to a desired position j through the use of binary trees, modular arithmetic and some derived functions. Moreover, this is an expanded and more detailed paper based on an article by Sarnath Ramnath and Daniel Scully entitled "Moving Card j to Position j with Perfect Shuffles."