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Variations of the Puzzle

  • Andreas M. Hinz
  • Sandi Klavžar
  • Ciril Petr
Chapter

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.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Andreas M. Hinz
    • 1
  • Sandi Klavžar
    • 2
  • Ciril Petr
    • 3
  1. 1.Faculty of Mathematics, Computer Science and StatisticsLMU MünchenMunichGermany
  2. 2.Faculty of Mathematics and PhysicsUniversity of LjubljanaLjubljanaSlovenia
  3. 3.Faculty of Natural Sciences and MathematicsUniversity of MariborMariborSlovenia

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