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Self-Similarity and Fractal Geometry

  • Daniel Kaplan
  • Leon Glass
Part of the Texts in Applied Mathematics book series (volume 19)

Abstract

If you cut a limb off a tree, the resulting object will resemble—in miniature—the tree itself. If you cut a branch off this limb, the shape of the resulting object will be similar to the limb and to the entire tree. If you cut a twig off this branch, it too will resemble the entire tree. The term self-similar describes the geometry of objects in which a small part when expanded looks like the whole.

Keywords

Cellular Automaton Target Point Fractal Geometry Fractal Object Diffusion Limited Aggregation 
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.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Daniel Kaplan
    • 1
  • Leon Glass
    • 1
  1. 1.Department of PhysiologyMcGill UniversityMontréalCanada

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