Nontransitivity

41 entries in Numbers / 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
 		1970 Epilogue (Issue 10) 77
Gene Finnell A Dice Paradox
1971 Epilogue (Issue 12) 90
Gene Finnell A Card Game Paradox
Related to 1971 Epilogue (Issue 12) 91
Howard Lyons Toronto Dice note
Inspired by 1971 Epilogue (Issue 13) 99
Bradley Efron Las Vegas Dice non-transitive dice, also as packets of cards, see also p. 410 for idea by Stewart Olney
 		Jan. 1971 The Pallbearers Review Vol. 5-8 (Vol. 6 No. 3) 393
Shirley Quimby Shirley Quimby's Method for non-transitive dice set
 		Jan. 1971 The Pallbearers Review Vol. 5-8 (Vol. 6 No. 3) 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 The Pallbearers Review Vol. 5-8 (Vol. 8 No. 4) 593
R. C. H. Cheng A New Sucker Bet non-transitive dice
 		June 1983 Epoptica (Issue 4) 232
Mel Stover Non-Transitivity with a Magic Slant
Aug. 1984 Epoptica (Issue 6) 391
Martin Gardner Introduction
1991 Swindle & Cheat 1
Karl Fulves Sporting Events chapter intro
 		1991 Swindle & Cheat 3
Karl Fulves Spot Check four dice, performer always wins
 		1991 Swindle & Cheat 4
Karl Fulves Rapid Transitive six dice, performer wins
 		1991 Swindle & Cheat 5
Karl Fulves Tri Color six dice, performer and spectator each take two, performer wins
 		1991 Swindle & Cheat 6
Karl Fulves Shareholder six dice, performer against two spectators, performer wins
 		1991 Swindle & Cheat 6
Karl Fulves Dominant Dice second phase for previous dice game
 		1991 Swindle & Cheat 7
Karl Fulves A Penny Saved coin layout, game with die, performer wins
 		1991 Swindle & Cheat 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 Swindle & Cheat 10
Karl Fulves Alien Dice nontransitive dice principle with only two dice
 		1991 Swindle & Cheat 14
Karl Fulves Digit Detective two spectators play "high card wins" with a packet, performer divines card value that was added previously
 		1991 Swindle & Cheat 15
Karl Fulves Post Position horse race on paper
 		1991 Swindle & Cheat 16
Karl Fulves Paper Hanger stack of bills is cut, game with top bills, performer has better chances
 		1991 Swindle & Cheat 19
Karl Fulves The Cheshire Cat chips and cups are used for game in which performer has better chances
 		1991 Swindle & Cheat 20
Karl Fulves Crossroader poker chips chosen from two cups, high number wins, audience decides who wins in the long run
 		1991 Swindle & Cheat 23
Sam Schwartz High Dice set of three nontransitive dice
 		1991 Swindle & Cheat 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 Swindle & Cheat 25
Karl Fulves Games Without Numbers chapter intro, Scissors-Rock-Paper
 		1991 Swindle & Cheat 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 Swindle & Cheat 34
Karl Fulves Chain Reaction endless chain as game between two participants
 		1991 Swindle & Cheat 35
Karl Fulves Short Straw percentage game with three straws in three cups each
 		1991 Swindle & Cheat 38
Karl Fulves Playing The Slots box with four slots, performer and spectator chose one, more money comes out of performer's slot
 		1991 Swindle & Cheat 39
Karl Fulves Threesome percentage game with chips in cups
 		1991 Swindle & Cheat 41
Karl Fulves The Right Bettor percentage game with picture cards of animals
 		1991 Swindle & Cheat 42
Karl Fulves Road Race
1991 Swindle & Cheat 43
Karl Fulves Code Nine nontransitive game with cut-in-half tickets that have half numbers on them
Related to 1991 Swindle & Cheat 46
Philip T. Goldstein Jan-Ken-Ponder rock-paper-scissors variant with coins or chips
Related to 1991 Swindle & Cheat 48
Dr. A. K. Austin Pathways nontransitive game with cards that have a maze-like path on them
 		1991 Swindle & Cheat 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 Swindle & Cheat 52
Karl Fulves Bibliography Nontransivity in print
 		1991 Swindle & Cheat 71
Nick Trost The Penney Paradox sucker bet
Related to
  • "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)
  • Trine (Lewis Jones, 2002)
 1997 The Card Magic of Nick Trost 89
Tomas Blomberg Simplex Non-Transitiv Poker Die die with four poker cards on each side
 		2014 Blomberg Laboratories 315