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Fractal dimensions and geometries of caves

Authors
Journal
Mathematical Geology
0882-8121
Publisher
Springer-Verlag
Publication Date
Disciplines
  • Mathematics

Abstract

Lengths of all caves in a region have been observed previously to be distributed hyperbolically, like self-similar geomorphic phenomena identified by Mandelbrot as exhibiting fractal geometry. Proper cave lengths exhibit a fractal dimension of about 1.4. These concepts are extended to other self-similar geometric properties of caves with the following consequences.

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