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Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice 3d printed
Seven Non-Transitive Dice 3d printed

DIGITAL PREVIEW
Not a Photo

Seven Non-Transitive Dice

Made by
$75.54
3D printed in white nylon plastic polished to reveal a smooth matte finish.
QTY
Product Description

Seven Non-Transitive Dice, a.k.a. Oskar's Dice (designed in 1992) is a set of seven dice as follows, see also Wikipedia:

  • A: 2, 2, 14, 14, 17, 17
  • B: 7, 7, 10, 10, 16, 16
  • C: 5, 5, 13, 13, 15, 15
  • D: 3, 3, 9, 9, 21, 21
  • E: 1, 1, 12, 12, 20, 20
  • F: 6, 6, 8, 8, 19, 19
  • G: 4, 4, 11, 11, 18, 18


Die A beats die C, as statistically when you throw both many times, die A will turn up a higher number than die B more than 50% of the throws. Similarly die C beats die G. So whien die A competes against die G, which will win? Surprisingly G beats A. This is why these dice are called "non-transitive".

This specific set of seven dice has the property that for arbitrarily chosen two dice there is always a third one that beats both of them. Namely,

  • G beats A,B; F beats A,C; G beats A,D; D beats A,E; D beats A,F; F beats A,G;
  • A beats B,C; G beats B,D; A beats B,E; E beats B,F; E beats B,G;
  • B beats C,D; A beats C,E; B beats C,F; F beats C,G;
  • C beats D,E; B beats D,F; C beats D,G;
  • D beats E,F; C beats E,G;
  • E beats F,G.


Whatever the two opponents choose, the third player will find one of the remaining dice that beats both opponents' dice.

Order the set of dice in a single color by buying this model. Order the set of dice in seven different colors by ordering each die separately as follows.

  1. Die A
  2. Die B
  3. Die C
  4. Die D
  5. Die E
  6. Die F
  7. Die G

 

Watch the YouTube video.
Read at the Shapeways Forum.
Read more at the Non-Twisty Puzzles Forum.

Please contact Oskar for information about the stickers, or if you want to purchase a complete stickered set. See also Eric Harshbarger's production of Oskar Dice.

Details
What's in the box:
Seven Non-Transitive Dice
Dimensions:
13.6 x 1.6 x 1.6 cm
Switch to inches
5.35 x 0.63 x 0.63 inches
Switch to cm
Success Rate:
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Rating:
Mature audiences only.
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