An Iterative Algorithm for the Tower of Hanoi with Four Pegs,I once gave a seminar (in German) for high-school students in connection with
Computing 42(1989), 133-140.
The Tower of Hanoi, Enseign. Math. (2) 35(1989), 289-321.
(with A. Schief) The average distance on the Sierpiński gasket,
Probab. Theory Related Fields 87(1990), 129-138.
Solution to Problem 1350 (Math. Mag. 63(1990), 189),
Math. Mag. 64(1991), 203.
Shortest Paths between Regular States of the Tower of Hanoi,
Inform. Sci. 63(1992), 173-181.
Pascal's Triangle and the Tower of Hanoi, Amer. Math. Monthly
Square-free Tower of Hanoi sequences, Enseign. Math. (2) 42(1996), 257-264.
The Tower of Hanoi, in: Shum, K.-P., Taft, E. J., Wan, Z.-X. (Eds.),
Algebras and Combinatorics, An International Congress, ICAC '97, Hong Kong,
Springer, Singapore, 1999, 277-289.
(with J.-P. Bode ) Results and open problems on the Tower of Hanoi,
Congr. Numer. 139(1999), 113-122.
(with D. Parisse) On the Planarity of Hanoi Graphs, Exposition. Math. 20(2002), 263-268.
(with S. Klavžar, U. Milutinović, D. Parisse, C. Petr) Metric properties
of the Tower of Hanoi graphs and Stern's diatomic sequence,
European J. Combin. 26(2005), 693-708.
(with A. Kostov, F. Kneißl, F. Sürer, A. Danek) A mathematical model
and a computer tool for the Tower of Hanoi and Tower of London puzzles,
Inform. Sci. 179(2009), 2934-2947.
(with A. H. Faber, N. Kühnpast, F. Sürer, A. Danek) The iso-effect:
Is there specific learning of Tower of London iso-problems?,
Thinking & Reasoning 15(2009), 237-249.
Graph theory of tower tasks, Behavioural Neurology 25(2012), 13-22.
(with D. Parisse) The average eccentricity of Hanoi and Sierpiński graphs, Graphs Combin. 28(2012), 671-686.
(with D. Parisse) Coloring Hanoi and Sierpiński Graphs, Discrete Math. 312(2012), 1521-1535.
(with S. Klavžar and S. S. Zemljič) Sierpiński graphs as spanning subgraphs of Hanoi graphs, Cent. Eur. J. Math. 11(2013), 1153-1157.
In collaboration with neuropsychologists and computer scientists we develop a computer tool for tower puzzles.
The corresponding poster has been awarded a Second Prize in the Poster competition of the International Congress of Mathematicians 2006 in Madrid.
I would be happy to hear from anyone interested in these topics.
In particular I am interested in any new development about the
Tower of Hanoi with more than three pegs. However, only serious
attempts to prove minimality of the presumed minimal solution
will be considered.
I am also looking for material about the biography of the inventor
of the Tower of Hanoi, the French mathematician Édouard Lucas,
who lived 1842-1891 (cf. my article in the Monthly ).
Some people have taken up my challenge to hold a conference on the Tower of Hanoi, albeit not in Hanoi!
It was organized by S. Klavžar, U. Milutinović, and C. Petr in the Slovenian town of Maribor;
see Workshop on the Tower of Hanoi and Related Problems for details.
With my Slovenian colleagues I wrote a comprehensive book
The Tower of Hanoi - Myths and Maths ,
which has appeared at Birkhäuser/Springer Basel.
My further research interests cover analysis and other topics .
You may want to know more about my courses and lectures .
My coordinates are on my personal homepage .