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Creators Title Comments & References Year Source Page AA Categories
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-room
Variations 1919/1920 68
Mahendra The Miracle Divination - The Problem of the Three Coins three coins are pocketed by three spectators, performer divines them
Variations 1938 128
Simon Aronson Simon-Eyes two cards thought of with counting procedure, both cards divined with "No No's Fishing"
  • Reality
  • The Problem
  • No No's Fishing
  • The Simon-Eyes Arrangement
  • The Selection Procedure
  • Fishing in the Simon-Eyes Pack
  • Fishing for the Values
  • Fishing for the Suits
  • The Faro Restacking Simon-Eyes Pack
Related toVariations 1990 123
Simon Aronson, Ramón Riobóo The Three Hours three cards are divined
Inspired byRelated toVariationsAlso published here 2004 65
Karl Fulves (reviewer) Math + Magic by Persi Diaconis (written by Ron Graham) 2011
Prolix (Issue 9)
587
Richard Kaufman (reviewer) Magical Mathematics by Persi Diaconis (written by Ron Graham)
brief
Aug. 2011
Genii (Vol. 74 No. 8)
11
Jamy Ian Swiss (reviewer) Magical Mathematics: The Mathematical Ideas That Animate Great Magic Trick by Persi Diaconis (written by Ron Graham) Sep. 2011
Genii (Vol. 74 No. 9)
94
Persi Diaconis, Ron Graham Preface
2012 xi
Persi Diaconis, Ron Graham Mathematics in the Air Chapter intro that describes the CATO Principle and the mathematics behind it, along with tricks
Related to 2012 1
Charles Hudson Baby Hummer Used to demonstrate the CATO principle, uses four cards
Related toVariations 2012 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 up
Related toAlso published here
  • "18 Card Mystery" (Bob Hummer, Face-up / Face-down Mysteries, 1942)
2012 4
Steve Freeman Royal Hummer Cards are mixed face up and face down haphazardly, later all cards are face down except a royal flush
Variations 2012 8
Persi Diaconis, Ron Graham Back to Magic End of chapter, describes Steve's own variation on Steve Freeman's handling of Royal Hummer
Inspired by 2012 15
Persi Diaconis, Ron Graham In Cycles chapter intro
2012 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 sequences
Inspired byVariations 2012 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 magic
Inspired by 2012 25
Persi Diaconis, Ron Graham Is This Stuff Actually Good For Anything? Chapter on uses of De Bruijn sequences outside of magic
2012 30
Persi Diaconis, Ron Graham Universal Cycles chapter intro
2012 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
2012 55
Persi Diaconis, Ron Graham From the Gilbreath Principle to the Mandelbrot Set chapter intro
2012 61
Persi Diaconis, Ron Graham The Gilbreath Principle Describes the intricate mathematics of the Gilbreath Principle
2012 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 Wohl
Related to
  • "U-shuffle Poker" (David Ben, Zarrow, A Lifetime of Magic)
Variations
2012 66
Persi Diaconis, Ron Graham The Mandelbrot Set Mathematics of the Mandelbrot Set and its link to Gilbreath
2012 72
Persi Diaconis, Ron Graham Neat Shuffles chapter intro about perfect faro shuffles
2012 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
2012 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
2012 92
Persi Diaconis, Ron Graham A Look Inside Monge and Milk Shuffles Describes the principles of Monge and Milk shuffles
2012 96
Persi Diaconis, Ron Graham A Look Inside Down-and-Under Shuffles Describes the Down and Under Deal
2012 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
2012 99
Persi Diaconis, Ron Graham The Oldest Mathematical Entertainment? chapter intro
2012 103
Persi Diaconis, Ron Graham The Miracle Divination three coins are pocketed by three spectators, performer divines them, three object divination
Inspired byRelated to 2012 105
Ron Graham Ron's $1.96 trick Miracle Divination, four coins pocketed by four spectators, performer divines them all, four object divination
Related to 2012 108
Ron Graham, Persi Diaconis How Many Magic Tricks Are There? Mathematical estimation of the number of magic tricks in common usage
2012 114
Persi Diaconis, Ron Graham Magic in The Book of Changes chapter intro on the I Ching
2012 119
Persi Diaconis, Ron Graham Introduction to the Book of Changes Introduction on the I Ching (Chinese divination method using patterns called hexagrams)
2012 121
Persi Diaconis, Ron Graham Using the I Ching for Divination How the I Ching is used, with some mathematics
2012 122
Persi Diaconis, Ron Graham Probability and the Book of Changes Mathematics of the I Ching
2012 125
A First Chinese Magic Trick I Ching trigrams can predict the Chinese character chosen by spectator, kind of design duplication
Variations 2012 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 2012 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
2012 133
Persi Diaconis, Ron Graham Probability and the I Ching Mathematical aspects of I Ching
2012 136
Persi Diaconis, Ron Graham What Does Up Must Come Down Chapter on mathematics of juggling
2012 137
Persi Diaconis, Ron Graham Stars of Mathematical Magic
2012 153
Persi Diaconis, Ron Graham Alex Elmsley About Alex Elmsley's work in mathematical magic
2012 156
Persi Diaconis, Ron Graham Bob Neale About Bob Neale's work in mathematical magic
2012 160
Persi Diaconis, Ron Graham, Robert E. Neale Inside-Outside Endless Chain / Pricking the Garter

  • A Fair Throw
  • A Cheating Throw
  • A Superfair Throw
2012 164
Persi Diaconis, Ron Graham Henry Christ
2012 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
2012 177
Persi Diaconis, Ron Graham Stewart James
2012 181
Stewart James, Persi Diaconis, Ron Graham The Mysterious Number Seven Sum prediction of numbers filled in grid, uses the AAG Principle
2012 187
Persi Diaconis, Ron Graham Charles Thornton Jordan About Charles Jordan's work in mathematical magic
2012 189
Persi Diaconis, Ron Graham Bob Hummer About Bob Hummer's work in mathematical magic
2012 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 objects
Variations 2012 204
Persi Diaconis, Ron Graham Our Contribution Variation on Hummer's Three Card Monte
Inspired by 2012 207
Persi Diaconis, Ron Graham Martin Gardner About Martin Gardner's work in mathematical magic
2012 211
Persi Diaconis, Ron Graham Going Further Other books to check out
2012 220
Persi Diaconis, Ron Graham On Secrets
2012 225
David Britland A Good Guess
  • Cardolopis ("Simply Stebbins")
deck is freely cut and four cards are selected from that spot, magician correctly divines them all
Inspired by Apr. 2017
Genii (Vol. 80 No. 4)
32
Simon Aronson, Ramón Riobóo, Harapan Ong, Persi Diaconis, Ron Graham The Three Hours Three spectators each think of a card, magician divines each card without making any wrong statements
Inspired byRelated to 2019 48
Matt Baker Gilbreath Poker Both spectator and magician deal five hands of poker from their cards, each deal a good hand to an imaginary player, leaving the best hand for themselves
Inspired byRelated to 2019 195