Spectra of Reduced Fractals and Their Applications in Biology

TL;DR

This paper introduces spectra of reduced fractals to quantify complexity in natural phenomena, demonstrating their application in classifying green algae and proposing extensions to other biological and natural systems.

Contribution

It presents a novel method of using spectra of reduced fractals to analyze and classify biological systems, expanding fractal analysis applications.

Findings

Spectra of reduced fractals can describe complexity levels in natural phenomena.

Spectral ranges for green algae are identified and characterized.

Potential for extending spectral analysis to other biological and natural systems.

Abstract

Fractals with different levels of self-similarity and magnification are defined as reduced fractals. It is shown that spectra of these reduced fractals can be constructed and used to describe levels of complexity of natural phenomena. Specific applications to biological systems, such as green algae, are performed, and it is suggested that the obtained spectra can be used to classify the considered algae by identifying spectra associated with them. The ranges of these spectra for green algae are determined and their extension to other biological as well as other natural systems is proposed.