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. 2021 Mar 18;11(1):6304.
doi: 10.1038/s41598-021-85405-0.

Fractal dimension of coastline of Australia

Akhlaq Husain  1 , Jaideep Reddy  2 , Deepika Bisht  2 , Mohammad Sajid  3
Affiliations

Fractal dimension of coastline of Australia

Akhlaq Husain et al. Sci Rep. .

Abstract

Coastlines are irregular in nature having (random) fractal geometry and are formed by various natural activities. Fractal dimension is a measure of degree of geometric irregularity present in the coastline. A novel multicore parallel processing algorithm is presented to calculate the fractal dimension of coastline of Australia. The reliability of the coastline length of Australia is addressed by recovering the power law from our computational results. For simulations, the algorithm is implemented on a parallel computer for multi-core processing using the QGIS software, R-programming language and Python codes.

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Conflict of interest statement

The authors declare no competing interests.

Figures

Figure 1
Figure 1
The Mandelbrot set.
Figure 2
Figure 2
Some coastlines and borders created using QGIS, Pi-version (available at https://qgis.org/downloads/).
Figure 3
Figure 3
Flow chart of the box-counting method in our analysis.
Figure 4
Figure 4
Flow chart of the parallel implementation.
Figure 5
Figure 5
Plots for fractal dimension of coastline of Australia: box-counting method (created using Veusz software, version 3.2.1 available at https://veusz.github.io/download/).
Figure 6
Figure 6
Power law for coastline length of Australia (created using Veusz software, version 3.2.1 available at https://veusz.github.io/download/).
See this image and copyright information in PMC

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