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The Tower of Hanoi : myths and maths

Author: Andreas M Hinz; Sandi Klavžar; Ciril Petr
Publisher: Cham, Switzerland : Birkhäuser, 2018.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
The solitaire game "The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Andreas M Hinz; Sandi Klavžar; Ciril Petr
ISBN: 9783319737799 3319737791
OCLC Number: 1032070649
Description: 1 online resource : illustrations
Contents: The Beginning of the World --
The Chinese Rings --
The Classical Tower of Hanoi --
Lucas's Second Problem --
Sierpinski Graphs --
The Tower of Hanoi with More Pegs --
Variations of the Puzzle --
The Tower of London --
Tower of Hanoi Variants with Restricted Disc Moves --
Hints, Solutions and Supplements to Exercises --
The End of the World.
Responsibility: Andreas M. Hinz, Sandi Klavzar, Ciril Petr ; foreword by Ian Stewart.

Abstract:

The solitaire game "The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants. The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the "The Reve's Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.--

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