Groups of Perfect Shuffles

@inproceedings{Medvedoff1987GroupsOP,
  title={Groups of Perfect Shuffles},
  author={Steve Medvedoff and Kent E. Morrison and Aldous Huxley},
  year={1987}
}
There are two ways to perfectly shuffle an ordinary deck of cards. First divide the deck in half and then interleaf the cards. The top card either remains on top or becomes the second card. A perfect shuffle is difficult but not impossible to perform. There are magicians who can execute a perfect shuffle and there are even a few who can do eight consecutive perfect shuffles-leaving the top card on top-to bring the deck back to its original position. In 1983 a fascinating paper appeared dealing… CONTINUE READING

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