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cards:monge_shuffle [2017/06/28 14:57]
127.0.0.1 external edit
cards:monge_shuffle [2019/01/05 18:42] (current)
stephenminch Added citation for Monge's article and its translation.
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|====== Monge Shuffle ======||====== Monge Shuffle ======|
|-||In this shuffle, the deck or packet is mixed by taking the top card, placing the second card above it, the third below, the fourth above, etc. Prof. Kunard, in //The Book of Card Tricks//, 1888, p. 67, refers to the shuffle as "skinning the goat."||+||This method of "mixing" or rearranging the cards of a deck is named after the renowned French mathematician Gaspard Monge, who in 1773 published an essay, "Reflexions sur la tour des cartes", which examined the mathematical properties of a method of shuffling as applied to a card trick. The essay actually examined two tricks or problems: the least number of shuffles required to return a deck to its initial order, and how to produce certain cards at certain positions in the deck through a series of mixes. Both problems were solved with elegant mathematical proofs. Monge's essay was translated into English by Maxwell Pritchard in //[[https://askalexander.org/display/67938/Gibeci+re/177|Gibecière]]//, Vol. 10, No. 2, Summer 2015, p. 175.|
|+||The Monge Shuffle consists of taking the top card, placing the second card above it, the third below, the fourth above, etc.|
|+||Prof. Kunard, in //The Book of Card Tricks//, 1888, p. 67, refers to the shuffle as "skinning the goat."|