Mathematical recreations and essays . Fifteen Puzzle, the Towerof Hanoiy Chinese Rings, and some miscellaneous Problemsconnected with a Pack of Cards. The Fifteen Puzzle*. Some years ago the so-calledFifteen Puzzle was on sale in all toy-shops. It consists of ashallow wooden box—one side being marked as the top—in theform of a square, and contains fifteen square blocks or countersnumbered 1, 2, 3, ... up to 15. The box will hold just sixteensuch counters, and, as it contains only fifteen, they can bemoved about in the box relatively to one another. Initiallythey are put in the box in any order
Mathematical recreations and essays . Fifteen Puzzle, the Towerof Hanoiy Chinese Rings, and some miscellaneous Problemsconnected with a Pack of Cards. The Fifteen Puzzle*. Some years ago the so-calledFifteen Puzzle was on sale in all toy-shops. It consists of ashallow wooden box—one side being marked as the top—in theform of a square, and contains fifteen square blocks or countersnumbered 1, 2, 3, ... up to 15. The box will hold just sixteensuch counters, and, as it contains only fifteen, they can bemoved about in the box relatively to one another. Initiallythey are put in the box in any order, but leaving the sixteenth * There are two articles on the subject in the American Journal ofMathematics, 1879, vol. ii, by Professors Woolsey Johnson and Storey; butthe whole theory is deducible immediately from the proposition I give inthe text. CH. Xl] MISCELLANEOUS PROBLEMS 225 cell or small square empty; the puzzle is to move them sothat finally they occupy the position shown in the first of theannexed figures. D Top of Box.
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Keywords: ., bookcentury1900, bookdecade1920, booksubjec, booksubjectastrology
