48 entries in Numbers / Principles / Nontransitivity
Creators Title Comments & References Year Source Page AA Categories
Karl Fulves A Remarkable Bet heads and tails bet with three coins, presentation for Walter Penney's coin flipping paradox
Nov. 1970
Epilogue (Issue 10)
Gene Finnell A Dice Paradox
July 1971
Epilogue (Issue 12)
Gene Finnell A Card Game Paradox
Related to July 1971
Epilogue (Issue 12)
P. Howard Lyons Toronto Dice note
Inspired by Nov. 1971
Epilogue (Issue 13)
Bradley Efron Las Vegas Dice non-transitive dice, also as packets of cards, see also p. 410 for idea by Stewart Olney
Jan. 1971 393
Shirley Quimby Shirley Quimby's Method for non-transitive dice set
Jan. 1971 393
Robert E. Neale End Game three objects moved according to instructions, outcome predicted
  • History
  • The Children's Game (Rock Paper Scissors)
  • The System
  • A Variation
  • Two Betting Games
  • Addendum
  • The Second Game (with cube/die)
  • The Election Game
Feb. 1973 593
R. C. H. Cheng A New Sucker Bet non-transitive dice
June 1983
Epoptica (Issue 4)
Mel Stover Non-Transitivity with a Magic Slant
Aug. 1984
Epoptica (Issue 6)
Martin Gardner Introduction
1991 1
Karl Fulves Sporting Events chapter intro
1991 3
Karl Fulves Spot Check four dice, performer always wins
1991 4
Karl Fulves Rapid Transitive six dice, performer wins
1991 5
Karl Fulves Tri Color six dice, performer and spectator each take two, performer wins
1991 6
Karl Fulves Shareholder six dice, performer against two spectators, performer wins
1991 6
Karl Fulves Dominant Dice second phase for previous dice game
1991 7
Karl Fulves A Penny Saved coin layout, game with die, performer wins
1991 8
Karl Fulves High Stebbins
  • (A) spectator cuts packet and takes top card, performer next, high card wins
  • (B) high card wins with twelve-card packet, three cards each, performer has better odds
  • (C) high card wins variation with better odds for performer
  • (D) high card wins combined with faro shuffle to shift odds to first or second player
1991 10
Karl Fulves Alien Dice nontransitive dice principle with only two dice
1991 14
Karl Fulves Digit Detective two spectators play "high card wins" with a packet, performer divines card value that was added previously
1991 15
Karl Fulves Post Position horse race on paper
1991 16
Karl Fulves Paper Hanger stack of bills is cut, game with top bills, performer has better chances
1991 19
Karl Fulves The Cheshire Cat chips and cups are used for game in which performer has better chances
1991 20
Karl Fulves Crossroader poker chips chosen from two cups, high number wins, audience decides who wins in the long run
1991 23
Sam Schwartz High Dice set of three nontransitive dice
1991 24
Karl Fulves Square Numbers columns and rows in magic square as nontransitive set with special properties, applied to chips game
  • The Basic Squares
  • Alien Numbers
  • Twofer
  • Advantage Player
1991 25
Karl Fulves Games Without Numbers chapter intro, Scissors-Rock-Paper
1991 25
Karl Fulves Paper Race four papers sticking out underneath cover, whoever choses the paper that is on top of the other's choice when cover is removed wins
1991 34
Karl Fulves Chain Reaction endless chain as game between two participants
1991 35
Karl Fulves Short Straw percentage game with three straws in three cups each
1991 38
Karl Fulves Playing The Slots box with four slots, performer and spectator chose one, more money comes out of performer's slot
1991 39
Karl Fulves Threesome percentage game with chips in cups
1991 41
Karl Fulves The Right Bettor percentage game with picture cards of animals
1991 42
Karl Fulves Road Race
1991 43
Karl Fulves Code Nine nontransitive game with cut-in-half tickets that have half numbers on them
Related to 1991 46
Philip T. Goldstein Jan-Ken-Ponder rock-paper-scissors variant with coins or chips
Related to 1991 48
Dr. A. K. Austin Pathways nontransitive game with cards that have a maze-like path on them
1991 49
Karl Fulves Markers ideas related to nontransitive games
  • Simple Sets (Dualities, Royal Family)
  • Unequal Sets
  • A Nontransitive Pyramid
  • Flat Dice
  • Parity Dice (4 Thru 9 Dice, 2 Thru 10 Dice, 1 Thru 12 Dice, 36 Number Dice)
  • House Dice
  • High Percentage Games
  • 3 Blind Dice
  • Little Bingo
  • Odds On
1991 52
Karl Fulves Bibliography Nontransivity in print
1991 71
Bob Farmer A Penny For Your Thoughts proposition bet with head/tails triplets
Related to Oct. 1995
Magic (Vol. 5 No. 2)
Bob Farmer The Third Scam... A Column To Honor Martin Gardner
  • Flim-Flam
more on the referenced proposition bet with head/tails triplets
  • Irwin Stern Calls Flim-Flam's Bluff
  • Debruijn Doublets
  • Hustler TH, Mark HH
  • Hustler XX, Mark YY
  • It's Triplets, Mr. Farmer
  • The Secret Formula
Related to Jan. 1996
Magic (Vol. 5 No. 5)
Bob Farmer Marathon Scam
  • Flim-Flam
high-card scam with three sets of three cards (from three different decks)
  • Chicago Nontransitive Authority
Feb. 1996
Magic (Vol. 5 No. 6)
Bob Farmer Chased paper rock scissors type game with suits
Aug. 1996
Magic (Vol. 5 No. 12)
Nick Trost The Penney Paradox sucker bet
Related to
  • Trine (Lewis Jones, 2002)
  • "Penney-Ante" (Walter Penney, The Journal of Recreational Mathematics, Oct 1969)
  • "On the Paradoxical Situations that Arise from Nontransitive Relations" (Martin Gardner, Scientific American, Oct 1974)
1997 89
Six Bones of the Beast
  • Flim-Flam
non-transitive proposition bet with six poker dice
May 2000
Magic (Vol. 9 No. 9)
Michael Weber Rock Paper Millions rock/paper/scissors routine with paper cards, with prediction finale
Related to 2012 5
Michael Weber Rock Paper Scissors rock/paper/scissors routine with paper cards
(PDF bonus from ca. Apr. 2013)
Related to Apr. 2013
Real Secrets (Vol. 2 No. 13)
Tomas Blomberg Simplex Non-Transitiv Poker Die die with four poker cards on each side
2014 315