Covering fractals with constant radius tiles: Distribution functions and their implications for resource management

Carmen García-Miguel and Jesús San Martín

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: The need to optimize and rationally exploit, both fractally distributed natural resources and civil infrastructures, has led us to study the covering of random fractals with circular tiles of a fixed radius. The study has been carried out for different fractal dimensions and radii of the tiles. From the study it is deduced that the fractal mass enclosed by the circular tiles follows a parabolic fractal distribution, which depends only on two parameters. In addition, the distribution parameters have been expressed in terms of fractal dimension and radius of the tiles. Therefore, it is possible to estimate the fractal mass enclosed by the circular tiles of a given radius, once the fractal dimension is known. Consequently, the distribution allows a rational and optimal management of the resources located on the fractal.

Keywords: Parabolic fractal distribution; Covering fractals; Saturated fractal; Optimization (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077920310171
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310171

DOI: 10.1016/j.chaos.2020.110626

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().