5.AD. STACKING A DECK TO PRODUCE A SPECIAL EFFECT
New section. This refers to the process of arranging a deck of cards or a stack of coins so that dealing it by some rule produces a special effect. In many cases, this is just inverting the permutation given by the rule and the Josephus problem (7.B) is a special case. Other cases involve spelling out the names of cards, etc.
Will Blyth. Money Magic. C. Arthur Pearson, London, 1926. Alternate heads, pp. 61-63. Stack of eight coins. Place one on the table and the next on the bottom of the stack. The sequence of placed coins is to alternate heads and tails. How do you arrange the stack? Answer is HHTHHTTT. This is the same process as counting out by 2s -- see 7.B.
Doubleday - 2. 1971. Heads and tails, pp. 105-106. Same as Blyth, but with six coins and solution HTTTHH.
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