There are many ways to shuffle a card deck, but one particularly interesting way is what’s known as a perfect out-shuffle. Through this method of perfectly interlacing cards, several other strong connections arise. Beginning with predicting the path of a card in a deck and the number of shuffles it takes to return a deck to its original order, further explorations then emerge. These involve the use of units, computation, and finally delving into the repeating base 2 decimal expansion of a fraction
The card-cyclic-to-random shuffle is the card shuffle where the n cards arc labeled 1,...,n accordin...
A magician gives a member of the audience 20 cards to shuffle. After the cards are thoroughly mixed,...
A famous result of Bayer and Diaconis [2] is that the Gilbert-Shannon-Reeds (GSR) model for the riff...
The crux of a card trick performed with a deck of cards usually depends on understanding how shuffle...
The mystery of magic and the artistry of juggling have surprising links to interesting ideas in math...
We are all familiar with the riffle shuffle, one of the most popular ways to shuffle cards. To per...
AbstractThere are two ways to perfectly shuffle a deck of 2n cards. Both methods cut the deck in hal...
We analyze the effects of two different types of shuffling on a deck of cards. The number of possibl...
This paper gives us one among all other applications of mathematics in practical ways - specifically...
This thesis considers the effect of riffle shuffling on decks of cards, allowing for some cards to b...
This work demonstrates that the card shuffling procedure commonly performed in casino poker rooms is...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards numbered from 1 to n and laid out in a ro...
This paper analyzes repeated shuffling of a deck of N cards. The measure studied is a model for the...
1. Introduction The most common method of mixing cards is the ordinary riffle shuffle, in which a de...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards num-bered from 1 to n and laid out in a r...
The card-cyclic-to-random shuffle is the card shuffle where the n cards arc labeled 1,...,n accordin...
A magician gives a member of the audience 20 cards to shuffle. After the cards are thoroughly mixed,...
A famous result of Bayer and Diaconis [2] is that the Gilbert-Shannon-Reeds (GSR) model for the riff...
The crux of a card trick performed with a deck of cards usually depends on understanding how shuffle...
The mystery of magic and the artistry of juggling have surprising links to interesting ideas in math...
We are all familiar with the riffle shuffle, one of the most popular ways to shuffle cards. To per...
AbstractThere are two ways to perfectly shuffle a deck of 2n cards. Both methods cut the deck in hal...
We analyze the effects of two different types of shuffling on a deck of cards. The number of possibl...
This paper gives us one among all other applications of mathematics in practical ways - specifically...
This thesis considers the effect of riffle shuffling on decks of cards, allowing for some cards to b...
This work demonstrates that the card shuffling procedure commonly performed in casino poker rooms is...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards numbered from 1 to n and laid out in a ro...
This paper analyzes repeated shuffling of a deck of N cards. The measure studied is a model for the...
1. Introduction The most common method of mixing cards is the ordinary riffle shuffle, in which a de...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards num-bered from 1 to n and laid out in a r...
The card-cyclic-to-random shuffle is the card shuffle where the n cards arc labeled 1,...,n accordin...
A magician gives a member of the audience 20 cards to shuffle. After the cards are thoroughly mixed,...
A famous result of Bayer and Diaconis [2] is that the Gilbert-Shannon-Reeds (GSR) model for the riff...