"What could a mathematician do with a perfect shuffle?" Perfect? That's a word which should not be deployed lightly! By definition a shuffle can never be "pe

"What could a mathematician do with a perfect shuffle?" Perfect? That's a word which should not be deployed lightly! By definition a shuffle can never be "perfect" - a card shuffle should strive to mix up the cards but it can never do that job and then say "these cards are optimally shuffled" Oh so now we have a new definition for perfect: "Praeger, however, is interested in just those permutations of the cards that you can get by using perfect shuffles, when a pack of cards is exactly split in half and the cards from each half perfectly interleaved one by one." I have a different idea of what perfect means and it is not that. I suggest the word "precise" or "exact" when describing fancy shuffling schemes.