The Return Trip by Karl Fulves
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In Faro & Riffle Technique an unsolved faro shuffle problem was stated. Given a deck arranged in a known order, the cards were shuffled in an unknown sequence of in and out shuffles. Examining the new order of the cards, could one specify a faro sequence that would return the deck to its original order?
Solutions for decks containing 2exp"n" cards, odd-size decks and some even decks are known. The present manuscript deals with solutions for decks containing 4n + 2 cards. The discussion is mostly simple and calls for no math background. If you are looking for mathematical elegance, this manuscript is not the place.
Solutions for decks containing 2exp"n" cards, odd-size decks and some even decks are known. The present manuscript deals with solutions for decks containing 4n + 2 cards. The discussion is mostly simple and calls for no math background. If you are looking for mathematical elegance, this manuscript is not the place.
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