Barnsley,s Fern
المؤلف:
Barnsley, M.
المصدر:
Fractals Everywhere, 2nd ed. Boston, MA: Academic Press
الجزء والصفحة:
...
12-9-2021
2853
Barnsley's Fern
The attractor of the iterated function system given by the set of "fern functions"
(Barnsley 1993, p. 86; Wagon 1991). These affine transformations are contractions. The tip of the fern (which resembles the black spleenwort variety of fern) is the fixed point of 
, and the tips of the lowest two branches are the images of the main tip under 
and 
(Wagon 1991).
REFERENCES:
Barnsley, M. Fractals Everywhere, 2nd ed. Boston, MA: Academic Press, pp. 86, 90, 102 and Plate 2, 1993.
Gleick, J. Chaos: Making a New Science. New York: Penguin Books, p. 238, 1988.
Trott, M. Graphica 1: The World of Mathematica Graphics. The Imaginary Made Real: The Images of Michael Trott. Champaign, IL: Wolfram Media, pp. 46, 55, and 87, 1999.
Wagon, S. "Biasing the Chaos Game: Barnsley's Fern." §5.3 in Mathematica in Action. New York: W. H. Freeman, pp. 156-163, 1991.
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