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Charles T. Jordan Coluria No. 25, thirty-two-deck of cards is cut and dealt into six piles, two remaining cards pocketed, colors of top cards code bottom cards and cards in pocket, done out-of-roomVariations Thirty Card Mysteries 68
Mahendra The Miracle Divination - The Problem of the Three Coins three coins are pocketed by three spectators, performer divines themVariations Greater Magic 128
Karl Fulves (reviewer) Math + Magic by Persi Diaconis (written by Ron Graham) Prolix (Issue 9) 587
Persi Diaconis, Ron Graham Martin Gardner About Martin Gardner's work in mathematical magic Magical Mathematics 211
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 Magical Mathematics 204
Persi Diaconis, Ron Graham Our Contribution Variation on Hummer's Three Card MonteInspired by Magical Mathematics 207
Persi Diaconis, Ron Graham Going Further Other books to check out Magical Mathematics 220
Persi Diaconis, Ron Graham On Secrets Magical Mathematics 225
Persi Diaconis, Ron Graham Preface Magical Mathematics 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 Magical Mathematics 1
Charles Hudson Baby Hummer Used to demonstrate the CATO principle, uses four cardsRelated to Magical Mathematics 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)
Magical Mathematics 4
Steve Freeman Royal Hummer Cards are mixed face up and face down haphazardly, later all cards are face down except a royal flushVariations Magical Mathematics 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 Magical Mathematics 15
Persi Diaconis, Ron Graham In Cycles chapter intro Magical Mathematics 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 Magical Mathematics 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 Magical Mathematics 25
Persi Diaconis, Ron Graham Is This Stuff Actually Good For Anything? Chapter on uses of De Bruijn sequences outside of magic Magical Mathematics 30
Persi Diaconis, Ron Graham Universal Cycles chapter intro Magical Mathematics 47
Persi Diaconis, Ron Graham Universal Cycles Again Deck tossed out, deck is freely cut and five cards are selected, magician correctly divines them all Magical Mathematics 55
Persi Diaconis, Ron Graham From the Gilbreath Principle to the Mandelbrot Set chapter intro Magical Mathematics 61
Persi Diaconis, Ron Graham The Gilbreath Principle Describes the intricate mathematics of the Gilbreath Principle Magical Mathematics 61
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)
Magical Mathematics 66
Persi Diaconis, Ron Graham The Mandelbrot Set Mathematics of the Mandelbrot Set and its link to Gilbreath Magical Mathematics 72
Persi Diaconis, Ron Graham Neat Shuffles chapter intro about perfect faro shuffles Magical Mathematics 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 Magical Mathematics 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 Magical Mathematics 92
Persi Diaconis, Ron Graham A Look Inside Monge and Milk Shuffles Describes the principles of Monge and Milk shuffles Magical Mathematics 96
Persi Diaconis, Ron Graham A Look Inside Down-and-Under Shuffles Describes the Down and Under Deal Magical Mathematics 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 Magical Mathematics 99
Persi Diaconis, Ron Graham The Oldest Mathematical Entertainment? chapter intro Magical Mathematics 103
Persi Diaconis, Ron Graham The Miracle Divination three coins are pocketed by three spectators, performer divines them, three object divinationInspired byRelated to Magical Mathematics 105
Ron Graham Ron's $1.96 trick Miracle Divination, four coins pocketed by four spectators, performer divines them all, four object divinationRelated to Magical Mathematics 108
Ron Graham, Persi Diaconis How Many Magic Tricks Are There? Mathematical estimation of the number of magic tricks in common usage Magical Mathematics 114
Persi Diaconis, Ron Graham Magic in The Book of Changes chapter intro on the I Ching Magical Mathematics 119
Persi Diaconis, Ron Graham Introduction to the Book of Changes Introduction on the I Ching (Chinese divination method using patterns called hexagrams) Magical Mathematics 121
Persi Diaconis, Ron Graham Using the I Ching for Divination How the I Ching is used, with some mathematics Magical Mathematics 122
Persi Diaconis, Ron Graham Probability and the Book of Changes Mathematics of the I Ching Magical Mathematics 125
Unknown A First Chinese Magic Trick I Ching trigrams can predict the Chinese character chosen by spectator, kind of design duplicationVariations Magical Mathematics 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 Magical Mathematics 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 Magical Mathematics 133
Persi Diaconis, Ron Graham Probability and the I Ching Mathematical aspects of I Ching Magical Mathematics 136
Persi Diaconis, Ron Graham What Does Up Must Come Down Chapter on mathematics of juggling Magical Mathematics 137
Persi Diaconis, Ron Graham Stars of Mathematical Magic Magical Mathematics 153
Persi Diaconis, Ron Graham Alex Elmsley About Alex Elmsley's work in mathematical magic Magical Mathematics 156
Persi Diaconis, Ron Graham Bob Neale About Bob Neale's work in mathematical magic Magical Mathematics 160
Persi Diaconis, Ron Graham, Robert E. Neale Inside-Outside Endless Chain / Pricking the Garter

- A Fair Throw
- A Cheating Throw
- A Superfair Throw
Magical Mathematics 164
Persi Diaconis, Ron Graham Henry Christ Magical Mathematics 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 Magical Mathematics 177
Persi Diaconis, Ron Graham Stewart James Magical Mathematics 181
Stewart James, Persi Diaconis, Ron Graham The Mysterious Number Seven Sum prediction of numbers filled in grid, uses the AAG Principle Magical Mathematics 187
Persi Diaconis, Ron Graham Charles Thornton Jordan About Charles Jordan's work in mathematical magic Magical Mathematics 189
Persi Diaconis, Ron Graham Bob Hummer About Bob Hummer's work in mathematical magic Magical Mathematics 201