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Gilbreath Principle: Difference between revisions
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Gilbreath Principle is the fact that when a sequence (which may or may not be a repeating sequence) is riffle shuffled into its reverse, there are certain properties of the mixed outcome that are mathematically guaranteed. | Gilbreath Principle is the fact that when a sequence (which may or may not be a repeating sequence) is riffle shuffled into its reverse, there are certain properties of the mixed outcome that are mathematically guaranteed. | ||
The observation was analyzed and documented by [[Norman Gilbreath]] and first described in The [[Linking Ring]], Vol. 38, | The observation was analyzed and documented by [[Norman Gilbreath]] and first described in The [[Linking Ring]], Vol. 38, no. 5, July 1958, page 60 under '''Magnetic Colors'''. | ||
Eight years later, in the June 1966 Linking Ring, he published a generalization, extending his first observation from the case n = 2 to arbitrary n, which is referred to as the Second Gilbreath Principle. | Eight years later, in the June 1966 Linking Ring, he published a generalization, extending his first observation from the case n = 2 to arbitrary n, which is referred to as the Second Gilbreath Principle. | ||
Revision as of 10:08, 8 September 2009
Gilbreath Principle is the fact that when a sequence (which may or may not be a repeating sequence) is riffle shuffled into its reverse, there are certain properties of the mixed outcome that are mathematically guaranteed.
The observation was analyzed and documented by Norman Gilbreath and first described in The Linking Ring, Vol. 38, no. 5, July 1958, page 60 under Magnetic Colors.
Eight years later, in the June 1966 Linking Ring, he published a generalization, extending his first observation from the case n = 2 to arbitrary n, which is referred to as the Second Gilbreath Principle.
Published Applications
- TARCHINI, Dr. Giorgio - Fresh Gilbreath, published in Genii 2009 March. A new discovery pertaining to the Gilbreath Principle that allows the magician to have a spectator deal eight cards from a thoroughly shuffled deck face down onto the table, whereupon the magician accurately divines whether each card is red or black.