LACUNARITY CALCULATION IN THE TRUE FRACTAL LIMIT

Authors
FABIO DA REIS A RIERA R
Citation
Da. Fabio et al., LACUNARITY CALCULATION IN THE TRUE FRACTAL LIMIT, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 1827-1835
Citations number
12
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
6
Year of publication
1994
Pages
1827 - 1835
Database
ISI
SICI code
0305-4470(1994)27:6<1827:LCITTF>2.0.ZU;2-L
Abstract
We measure the lacunarity of regular fractals in the limit of an infin ite fractal lattice using a suitable graph counting method. The calcul ations are performed for a recent expression proposed for lacunarity t hat explores the scaling properties of the mass distribution of the fr actal set on cells of radius r. We present results for various Sierpin ski carpets and for the Sierpinski gasket.