By Andreas M. Hinz,Sandi Klavžar,Uroš Milutinović,Ciril Petr,Ian Stewart

ISBN-10: 3034802366

ISBN-13: 9783034802369

ISBN-10: 3034807694

ISBN-13: 9783034807692

This is the 1st entire monograph at the mathematical thought of the solitaire video game “The Tower of Hanoi” which was once invented within the nineteenth century by way of the French quantity theorist Édouard Lucas. The ebook contains a survey of the ancient improvement from the game’s predecessors as much as fresh learn in arithmetic and functions in laptop technology and psychology. except long-standing myths it features a thorough, principally self-contained presentation of the fundamental mathematical proof with whole proofs, together with additionally unpublished fabric. the most items of study this present day are the so-called Hanoi graphs and the similar Sierpiński graphs. Acknowledging the good approval for the subject in desktop technological know-how, algorithms and their correctness proofs shape a vital a part of the ebook. In view of crucial useful functions of the Tower of Hanoi and its variations, specifically in physics, community concept, and cognitive (neuro)psychology, different comparable constructions and puzzles like, e.g., the “Tower of London”, are addressed.

Numerous beautiful integer sequences come up alongside the way in which, but additionally many open questions impose themselves. primary 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 is still unsettled after greater than 70 years and hence demonstrates the timeliness of the subject.

Enriched with tricky 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 pleasant examining for college students, educators, gamers and researchers alike.

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The Tower of Hanoi – Myths and Maths by Andreas M. Hinz,Sandi Klavžar,Uroš Milutinović,Ciril Petr,Ian Stewart


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