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.
Lamont, Riley, "The 52 Card Shuffle (Among Other Things)" (2020). Academic Excellence Showcase Proceedings. 213.
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