Affiliation:
1. Universidad Politécnica de Madrid, Spain
Abstract
Fractal covering with non-overlapping circular tiles follows a power law, when the circular tiles cover a preset mass of the fractal and their centers are chosen randomly and successively. Once the fractal has been saturated with the circular tiles, the tile size frequency distribution follows a parabolic fractal law. Distribution parameters are related and depend only on fractal dimension and fixed fractal mass of tiles. The distribution of the tiles can be used to optimize the allocation and/or exploitation of resources on fractals.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation