Abstract

Abstract In the colour Towers of Hanoi problem, three pegs are arranged as a circle and n black and white discs are stacked on a peg in increasing sizes with the largest disc at the bottom. The objective is to move these n discs to a specified peg subject to the restrictions of the standard problem; in addition, white and black discs may move clockwise and counterclockwise respectively only. A simple iterative solution to this complex problem is presented. The necessary and sufficient conditions which uniquely define the sequences of disc moves are also discussed.

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