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The canopy and shortest path in a self-contacting fractal tree. (English) Zbl 1052.28500


MSC:

28A80 Fractals
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References:

[1] M. Barnsley,Fractals Everywhere, 2nd ed., Boston: Academic Press (1993). · Zbl 0784.58002
[2] J. Hutchinson, ”Fractals and Self-Similarity,”Indiana University Journal of Mathematics 30 (1981), 713–747. · Zbl 0598.28011 · doi:10.1512/iumj.1981.30.30055
[3] H. Lauwerier,Fractals: Endlessly Repeated Geometrical Figures, Princeton, NJ: Princeton University Press (1991). · Zbl 0765.58002
[4] B. Mandelbrot,The Fractal Geometry of Nature, New York: W. H. Freeman 1982. · Zbl 0504.28001
[5] H.-O. Peitgen, H. Jurgens, and D. Saupe,Chaos and Fractals: New Frontiers in Science, New York: Springer-Verlag, 1992. · Zbl 0779.58004
[6] P. Prusinkiewicz and A. Lindenmayer,The Algorithmic Beauty of Plants, New York: Springer-Verlag (1990). · Zbl 0850.92038
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