Advertisement

The Mathematical Intelligencer

, Volume 21, Issue 2, pp 18–27 | Cite as

The Canopy and Shortest Path in a Self-Contacting Fractal Tree

  • Benoit B. Mandelbrot
  • Michael Frame
Article

Keywords

Short Path Mathematical Intelligencer Double Point Iterate Function System Branch Segment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [B]
    M. Barnsley,Fractals Everywhere, 2nd ed., Boston: Academic Press (1993).zbMATHGoogle Scholar
  2. [H]
    J. Hutchinson, “Fractals and Self-Similarity,”Indiana University Journal of Mathematics 30 (1981), 713–747.CrossRefzbMATHMathSciNetGoogle Scholar
  3. [L]
    H. Lauwerier,Fractals: Endlessly Repeated Geometrical Figures, Princeton, NJ: Princeton University Press (1991).zbMATHGoogle Scholar
  4. [FGN]
    B. Mandelbrot,The Fractal Geometry of Nature, New York: W. H. Freeman 1982.zbMATHGoogle Scholar
  5. [PJS]
    H.-O. Peitgen, H. Jurgens, and D. Saupe,Chaos and Fractals: New Frontiers in Science, New York: Springer-Verlag, 1992.CrossRefGoogle Scholar
  6. [PL]
    P. Prusinkiewicz and A. Lindenmayer,The Algorithmic Beauty of Plants, New York: Springer-Verlag (1990).CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 1999

Authors and Affiliations

  1. 1.Department of MathematicsYale UniversityNew HavenUSA
  2. 2.Mathematics DepartmentUnion CollegeSchenectadyUSA

Personalised recommendations