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Flipping coins, folding paper, and finding familiar fractals in the tower of Hanoi. (English) Zbl 1168.28304

Summary: This manuscript describes three activities connecting the Tower of Hanoi puzzle to three familiar fractal forms. The first connects coin flipping, paper folding, and the Tower of Hanoi to the Dragon Curve. The second illustrates mathematician Ian Stewart’s method for showing how the relationships between possible states of the Tower of Hanoi are related to stages in Sierpinski’s Gasket. The final activity compares right-left moves of Tower of Hanoi disks to iterations of the Von Koch Curve.

MSC:

28A80 Fractals
28A78 Hausdorff and packing measures
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References:

[1] DOI: 10.1142/9789812774217_0030 · doi:10.1142/9789812774217_0030
[2] Vasilyev N., Quantum pp 5–
[3] Stewart I., Sci. Am. pp 90–
[4] DOI: 10.1007/978-1-4757-4740-9 · doi:10.1007/978-1-4757-4740-9
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