Sierpiński’s pathological curve and its modern incarnations

• Autorzy: Stewart I.
• Konferencja: 6th European Congress of Mathematics, 2-7 July 2012 Kraków
• Języki publikacji: EN

Słowa kluczowe

EN

Sierpiński Wacław; Sierpiński gasket; tower of Hanoi; iterated function schemes

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2012
• Tom: T. 48, Nr 2
• Strony: 239--246
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Stewart I.

• Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom

Bibliografia

• [1] M. Barnsley, Fractals Everywhere, 2nd ed., Academic Press Professional, Cambridge MA 1993.
• [2] H.-T. Chan, A statistical analysis of the towers of Hanoi problem, Int. J. Comput. Math 28 (1989), 57-65.
• [3] M. C. Er, A general algorithm for finding the shortest path between two n-configurations, Inform. Sci. 42 (1987), 137-141.
• [4] K. Falconer, Techniques in Fractal Geometry, Wiley, Chichester 1997.
• [5] A. M. Hinz, A. Schief, The average distance on the Sierpiński gasket, Probab. Theory Related Fields 87 (1990), 129-138.
• [6] A. M. Hinz, Shortest path between regular states of the tower of Hanoi, Inform.
• [7] A. M. Hinz, rascal’s triangle and the tower of Hanoi, Amer. Math. Monthly 99, (1992), 538-544.
• [8] A. M. Hinz, S. Klav̌zar, U. Milutinović, C. Petr, The Tower of Hanoi: Myths and Maths, to appear.
• [9] X.-M. Lu, Towers of Hanoi graphs, Int. J. Comput. Math. 19 (1986), 23-38.
• [10] N. Claus [pseudonym of E. Lucas], La tour d’Hanoi, jeu de calcul, Sci. Nature 1 (1884), 127-128.
• [11] B. B. Mandelbrot, Fractals: Form, Chance, and Dimension, Freeman, San Francisco 1977.
• [12] H.-O. Peitgen, H. Jürgens, D. Saupe, Chaos and Fractals, Springer, New York 1992.
• [13] R. S. Scorer, P. M. Grundy, C. A. B. Smith, Some binary games, Math. Gaz. 28 (1944), 96-103.
• [14] W. Sierpiński, Oeuvres Choisies (3 vols.), Państwowe Wydawnictwo Naukowe, Warszawa 1974-1976.
• [15] I. Stewart, Le lion, le lama et la Laitue, Pour La Science 142 (1989), 102-107.
• [16] I. Stewart, Game, Set, and Math, Blackwell, Oxford 1989.
• [17] I. Stewart, Four encounters with Sierpinski’s gasket, Mathematical Intelligencer 17 (1995). 52-64.