By Andreas M. Hinz,Sandi Klavžar,Uroš Milutinović,Ciril Petr,Ian Stewart
This is the 1st finished monograph at the mathematical idea of the solitaire video game “The Tower of Hanoi” which was once invented within the nineteenth century via the French quantity theorist Édouard Lucas. The publication includes a survey of the ancient improvement from the game’s predecessors as much as fresh examine in arithmetic and purposes in laptop technological know-how and psychology. except long-standing myths it incorporates a thorough, principally self-contained presentation of the basic mathematical evidence with whole proofs, together with additionally unpublished fabric. the most gadgets of study this day are the so-called Hanoi graphs and the comparable Sierpiński graphs. Acknowledging the good approval for the subject in machine technology, algorithms and their correctness proofs shape a necessary a part of the e-book. In view of crucial functional purposes of the Tower of Hanoi and its editions, particularly in physics, community conception, and cognitive (neuro)psychology, different comparable constructions and puzzles like, e.g., the “Tower of London”, are addressed.
Numerous attractive integer sequences come up alongside the best way, but in addition many open questions impose themselves. vital between those is the famed Frame-Stewart conjecture. regardless of many makes an attempt to determine it and large-scale numerical experiments assisting its fact, it continues to be unsettled after greater than 70 years and therefore demonstrates the timeliness of the subject.
Enriched with intricate illustrations, connections to different puzzles and demanding situations for the reader within the type of (solved) routines in addition to difficulties for extra exploration, this publication is agreeable examining for college kids, educators, gamers and researchers alike.
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Extra resources for The Tower of Hanoi – Myths and Maths
The Tower of Hanoi – Myths and Maths by Andreas M. Hinz,Sandi Klavžar,Uroš Milutinović,Ciril Petr,Ian Stewart