Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Introduction to Lacunarity

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html
Author:Erik Rauch
Description: Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. It is strongly related to the size distribution of the holes on the fractal and to its deviation from translational invariance; roughly speaking, a fractal is very lacunar if its holes tend to be large, in the sense that they include large regions of space. It finds uses in ecology, image analysis, etc. this page is adapted from Benoit B. Mandelbrot, Romualdo Pastor-Satorras and Erik M. Rauch, "The geometry of Critical Ising Clusters: Gap Independence and Global Structure," in preparation.
Levels: College
Languages: English
Resource Types: Bibliographies
Math Topics: Fractals

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994- The Math Forum at NCTM. All rights reserved.
http://mathforum.org/