Nontransitivity

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)
77
Gene Finnell A Dice Paradox
July 1971
Epilogue (Issue 12)
90
Gene Finnell A Card Game Paradox
Related to July 1971
Epilogue (Issue 12)
91
P. Howard Lyons Toronto Dice note
Inspired by Nov. 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
Bob Farmer A Penny For Your Thoughts proposition bet with head/tails triplets
Related to Oct. 1995
Magic (Vol. 5 No. 2)
80
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)
80
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)
72
Bob Farmer Chased paper rock scissors type game with suits
 		Aug. 1996
Magic (Vol. 5 No. 12)
84
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
The Card Magic of Nick Trost
89
Six Bones of the Beast
  • Flim-Flam
non-transitive proposition bet with six poker dice
 		May 2000
Magic (Vol. 9 No. 9)
80
Michael Weber Rock Paper Millions rock/paper/scissors routine with paper cards, with prediction finale
Related to 2012
Rock Paper Millions
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)
1
Tomas Blomberg Simplex Non-Transitiv Poker Die die with four poker cards on each side
 		2014
Blomberg Laboratories
315