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Τι (ποιος) είναι dice$21094$ - ορισμός

GAME VARIATIONS AND DESCRIPTIONS OF INTRANSITIVE DIE AND THEIR BEHAVIOUR
Efron's dice; Non-transitive dice; Nontransitive dice; Non-Transitive Dice; Efron dice; Paradoxical dice; Grime dice

Fuzzy dice         
  • A pair of fuzzy dice hanging from a car's rear-view mirror
OVERSIZED PLUSH DICE USED AS AUTOMOBILE DECORATIONS
Furry dice; Fuzzy Dice; Fluffy dice
Fuzzy dice, also known as fluffy dice, soft dice, or stuffed dice, are an automotive decoration consisting of two oversized (usually six-sided) plush dice which hang from the rear-view mirror. The original fuzzy dice, first used in the 1950s, were white and approximately across.
Intransitive dice         
  • D III
  • D IV
  • D V
  • D VI
  • D VII
  • D VIII
  • PD 11
  • PD 12
  • PD 13
  • PD 1
  • PD 2
  • PD 3
A set of dice is intransitive (or nontransitive) if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it is not true that A rolls higher than C more than half the time. In other words, a set of dice is intransitive if the binary relation – rolls a higher number than more than half the time – on its elements is not transitive.
Long dice         
  • A four-faced Daldøs die, "unrolled" at right to show one of its standard configurations.
  • Five-faced long die for the Korean Game of Dignitaries; notches indicating values are cut into the edges, since in an odd-faced long die these land uppermost.
  • Lang Larence ("Long Lawrence"), a traditional English long die
  • A collection of ancient long dice, mostly four-faced, from Bohemia, Moravia, and Slovakia
PRISM-SHAPED DIE DESIGNED TO LAND ON ANY OF SEVERAL MARKED LATERAL FACES, BUT NOT EITHER END
Pin die; Pin Dice; Barrel Dice; Barrel die; Barrel dice; Long die; Stick dice
Long diceCulin 1898, pp 820, 825; Murray 1951, p 134; Bell 1960, p 10; Parlett 1999, p 26; Heijdt 2002, p 20. (sometimes oblongFinkel 2004, p 39.

Βικιπαίδεια

Intransitive dice

A set of dice is intransitive (or nontransitive) if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it is not true that A rolls higher than C more than half the time. In other words, a set of dice is intransitive if the binary relation – X rolls a higher number than Y more than half the time – on its elements is not transitive. More simply, A normally beats B, B normally beats C, but A does not normally beat C.

It is possible to find sets of dice with the even stronger property that, for each die in the set, there is another die that rolls a higher number than it more than half the time. This is different in that instead of only "A does not normally beat C" it is now "C normally beats A". Using such a set of dice, one can invent games which are biased in ways that people unused to intransitive dice might not expect (see Example).