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Variations of the Puzzle

In: The Tower of Hanoi – Myths and Maths

Author

Listed:
  • Andreas M. Hinz

    (LMU München, Faculty of Mathematics, Computer Science and Statistics)

  • Sandi Klavžar

    (University of Ljubljana, Faculty of Mathematics and Physics)

  • Ciril Petr

    (University of Maribor, Faculty of Natural Sciences and Mathematics)

Abstract

TH is an example of a one person game; such games are known as solitaire games. There are plenty of other mathematical solitaire games, the Icosian game, the Fifteen puzzle, and Rubik’s Cube are just a few prominent examples. Numerous variations of the TH can also be defined, some natural and some not that natural. In fact, Lucas himself in [286, p. 303] pointed out the following: “Le nombre des problèmes que l’on peut se poser sur la nouvelle Tour d’Hanoï est incalculable.” Many variations were indeed studied and some of them we already encountered in previous chapters: the Linear TH in Chapter 2, problems in Chapter 3 allowing for irregular states, the Switching TH in Chapter 4, and the tasks in Chapter 5 where more than three pegs are available.

Suggested Citation

  • Andreas M. Hinz & Sandi Klavžar & Ciril Petr, 2018. "Variations of the Puzzle," Springer Books, in: The Tower of Hanoi – Myths and Maths, edition 2, chapter 0, pages 283-300, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-73779-9_7
    DOI: 10.1007/978-3-319-73779-9_7
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