Possible Orderings of a Deck Using Two Types of Shuffles

Media: https://digitalcommons.wou.edu/context/aes/article/1271/type/pdf/viewcontent

Title: Possible Orderings of a Deck Using Two Types of Shuffles
Author: Heidi Benham; Riley Lamont
Date: 28 May 2020
Type: Image; StillImage
Identifier: aes/194
Language: eng
Abstract: We analyze the effects of two different types of shuffling on a deck of cards. The number of possible orderings of the deck under these two types of shuffles is shown to be bounded by looking at the group structure formed by the two shuffles and by looking at various restrictions imposed by the shuffling types. One such restriction for even-sized decks is that if one card is a particular number of cards away from the top before shuffling, the card that is the same number of cards away from the bottom before shuffling will always be the same number of cards away from the bottom as the other card is away from the top after any amount of shuffles.
Description: This presentation was delivered on May 28, 2020 at Western Oregon University Academic Excellence Showcase (Monmouth, OR).
Rights: Western Oregon University Library has determined, as of 05/27/20, this item is in copyright, which is held by the author. Users may use the item in accordance with copyright limitations and exceptions, including fair use. For other uses, please ask permission from the author.; http://rightsstatements.org/vocab/InC/1.0/
Department: Mathematics
Faculty Sponsor: Cheryl Beaver