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The Tower of Hanoi - Myths and MathsHinz, Andreas M., 1954- ; Klavžar, Sandi ; Petr, CirilThe 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myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences.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.Type of material - scientific monograph ; adult, seriousEdition - 2nd ed.Publication and manufacture - Cham : Birkhäuser, cop. 2018Language - englishISBN - 978-3-319-73778-2; 978-3-319-73779-9COBISS.SI-ID - 18363737
Author
Hinz, Andreas M., 1954- |
Klavžar, Sandi |
Petr, Ciril
Other authors
Stewart, Ian, 1945-
Topics
Matematika |
Kombinatorika |
Teorija grafov |
Matematične igre |
kitajski obroči |
Frame-Stewartova domneva |
Grayjeva koda |
zgodovina iger |
trikotnik Sierpińskega |
grafi Sierpińskega |
hanojski stolp |
londonski stolp |
algoritmi |
kognitivni testi |
končni avtomati |
celoštevilska zaporedja |
graf stanj |
mathematics |
combinatorics |
Chinese rings |
Frame-Stewart conjecture |
Gray code |
history of puzzles |
Sierpiński triangle |
Sierpiński graphs |
Tower of Hanoi |
Tower of London |
algorithms |
cognitive tests |
finite automata |
integer sequences |
state graph
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FMF, Mathematical Library, Lj. |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Hinz, Andreas M., 1954- | 36905 |
Klavžar, Sandi | 05949 |
Petr, Ciril | 16013 |
Stewart, Ian, 1945- |
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