Written by Persi Diaconis, Ron Graham

2012
Work of Persi Diaconis, Ron Graham

258 pages (Hardcover), published by Princeton University Press
Illustrated with photographs.
Language: English

(60 entries)

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Creators Title Comments & References Page Categories
Martin Gardner Foreword ix
Persi Diaconis, Ron Graham Preface xi
Persi Diaconis, Ron Graham Mathematics in the Air Chapter intro that describes the CATO Principle and the mathematics behind it, along with tricksRelated to 1
Charles Hudson Baby Hummer Used to demonstrate the CATO principle, uses four cardsRelated to 1
Bob Hummer Hummer's Ten Card Mystery Original use of the CATO Principle, based on the 18 Card Mystery in the original manuscript, magician can name how many face up cards there are after mixing it upRelated toAlso published here
  • "18 Card Mystery" (Bob Hummer, Face-up / Face-down Mysteries, 1942)
4
Steve Freeman Royal Hummer Cards are mixed face up and face down haphazardly, later all cards are face down except a royal flushVariations 8
Persi Diaconis, Ron Graham Back to Magic End of chapter, describes Steve's own variation on Steve Freeman's handling of Royal HummerInspired by 15
Persi Diaconis, Ron Graham In Cycles chapter intro 17
Persi Diaconis, Ron Graham The Magic of De Bruijn Sequences Deck tossed out, deck is freely cut and five cards are selected, magician correctly divines them all, also describes the mathematics behind De Bruijn sequencesInspired byVariations 18
Persi Diaconis, Ron Graham Going Further Describes extra variations on the basic De Bruijn sequence trick, with some history behind the use of this principle in magicInspired by 25
Persi Diaconis, Ron Graham Is This Stuff Actually Good For Anything? Chapter on uses of De Bruijn sequences outside of magic 30
Persi Diaconis, Ron Graham Universal Cycles chapter intro 47
Ronald A. Wohl (Ravelli) Order Matters Deck tossed out, deck is freely cut and five cards are selected, magician correctly divines them all, also describes the mathematics behind a different type of De Bruijn sequence 47
Ronald A. Wohl (Ravelli) A Mind-Reading Effect Deck tossed out, deck is freely cut and three cards are selected, magician correctly divines them all 52
Persi Diaconis, Ron Graham Universal Cycles Again Deck tossed out, deck is freely cut and five cards are selected, magician correctly divines them all 55
Persi Diaconis, Ron Graham From the Gilbreath Principle to the Mandelbrot Set chapter intro 61
Persi Diaconis, Ron Graham The Gilbreath Principle Describes the intricate mathematics of the Gilbreath Principle 61
Norman Gilbreath Gilbreath's First Principle Basic trick using Gilbreath Principle 61
Paul Curry Don't Lie To Me (Computer) Magician and spectator get half the pack each, and either lie or say the truth about each card, computer can spot all the spectator's liesVariations 65
Persi Diaconis, Ron Graham, Ronald A. Wohl (Ravelli), Herb Zarrow Gilbreath's Second Principle Spectator shuffles the cards, deals out five hands, one of the hands is a good hand, but the hand of the imaginary partner gets a straight flush, uses ideas from Herb Zarrow and Ron WohlRelated to
  • "U-shuffle Poker" (David Ben, Zarrow, A Lifetime of Magic)
66
Persi Diaconis, Ron Graham The Mandelbrot Set Mathematics of the Mandelbrot Set and its link to Gilbreath 72
Persi Diaconis, Ron Graham Neat Shuffles chapter intro about perfect faro shuffles 84
Persi Diaconis, Ron Graham A Mind-Reading Computer Packet of twelve cards, go through various dealing and shuffling procedures, create a pair of matching mates 85
Persi Diaconis, Ron Graham A Look Inside Perfect Shuffles Describes the mathematics of perfect faro shuffles, how to stack the deck using in and out shuffles 92
Persi Diaconis, Ron Graham A Look Inside Monge and Milk Shuffles Describes the principles of Monge and Milk shuffles 96
Persi Diaconis, Ron Graham A Look Inside Down-and-Under Shuffles Describes the Down and Under Deal 98
Persi Diaconis, Ron Graham All the Shuffles Are Related Explains how perfect faro shuffles, reverse faro shuffles, Monge shuffles, milk shuffles and down-under shuffles are related 99
Persi Diaconis, Ron Graham The Oldest Mathematical Entertainment? chapter intro 103
Persi Diaconis, Ron Graham The Miracle Divination three coins are pocketed by three spectators, performer divines them, three object divinationInspired byRelated to 105
Ron Graham Ron's $1.96 trick Miracle Divination, four coins pocketed by four spectators, performer divines them all, four object divinationRelated to 108
Ron Graham, Persi Diaconis How Many Magic Tricks Are There? Mathematical estimation of the number of magic tricks in common usage 114
Persi Diaconis, Ron Graham Magic in The Book of Changes chapter intro on the I Ching 119
Persi Diaconis, Ron Graham Introduction to the Book of Changes Introduction on the I Ching (Chinese divination method using patterns called hexagrams) 121
Persi Diaconis, Ron Graham Using the I Ching for Divination How the I Ching is used, with some mathematics 122
Persi Diaconis, Ron Graham Probability and the Book of Changes Mathematics of the I Ching 125
Unknown A First Chinese Magic Trick I Ching trigrams can predict the Chinese character chosen by spectator, kind of design duplicationVariations 128
Persi Diaconis, Ron Graham A Version in English English version of the Chinese I Ching Divination trick

The First Variation: Magician predicts thought of object using letter cards, not that good
The Second Variation: Magician divines thought of object using drawn diagrams
Inspired by 131
Persi Diaconis, Ron Graham A Performance Piece Prediction routine involving playing cards and I Ching trigrams, involve some fortune telling and answering questions posed by audience 133
Persi Diaconis, Ron Graham Probability and the I Ching Mathematical aspects of I Ching 136
Persi Diaconis, Ron Graham What Does Up Must Come Down Chapter on mathematics of juggling 137
Persi Diaconis, Ron Graham Stars of Mathematical Magic 153
Persi Diaconis, Ron Graham Alex Elmsley About Alex Elmsley's work in mathematical magic 156
Alex Elmsley Penelope's Principle 159
Persi Diaconis, Ron Graham Bob Neale About Bob Neale's work in mathematical magic 160
Persi Diaconis, Ron Graham, Robert E. Neale Inside-Outside Endless Chain / Pricking the Garter

- A Fair Throw
- A Cheating Throw
- A Superfair Throw
164
Dai Vernon A Dai Vernon Trick Chain wrapped around fingers of magician and spectator, chain can escape 171
Persi Diaconis, Ron Graham Henry Christ 173
Persi Diaconis, Ron Graham, Henry Christ The Roulette System Betting game, magician predicts the outcome of the bet, simulate roulette with red and black cards 177
Persi Diaconis, Ron Graham Stewart James 181
Joe Fendel Miraskill Scissors-Paper-Stone Miraskill with cards printed for game of Scissors, Paper and StoneInspired by 184
Stewart James, Persi Diaconis, Ron Graham The Mysterious Number Seven Sum prediction of numbers filled in grid, uses the AAG Principle 187
Persi Diaconis, Ron Graham Charles Thornton Jordan About Charles Jordan's work in mathematical magic 189
Persi Diaconis, Ron Graham Bob Hummer About Bob Hummer's work in mathematical magic 201
Bob Hummer Hummer's Three-Card Monte Spectator thinks of one of three cards and switches a few cards around, magician divines thought of card, can do with any three objectsVariations 204
Persi Diaconis, Ron Graham Our Contribution Variation on Hummer's Three Card MonteInspired by 207
Cy Endfield Rock, Paper, Scissors Hummer's Three Card Monte with Rock paper scissors themeInspired by 209
Robert E. Neale Bob Neale's Rock, Paper, Scissors Hummer's Three Card Monte with Rock paper scissors theme variationInspired by 210
Persi Diaconis, Ron Graham Martin Gardner About Martin Gardner's work in mathematical magic 211
Persi Diaconis, Ron Graham Going Further Other books to check out 220
Persi Diaconis, Ron Graham On Secrets 225