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Fractals, Lindenmayer systems and Dimensions

Lok, K (2017) Fractals, Lindenmayer systems and Dimensions. Master's Thesis / Essay, Science Education and Communication.

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Abstract

In this paper we try to grasp mathematically what fractals are. In particular we discuss Lindenmayer systems, which can represent a large class of fractals in a mathematical way. In doing so, this paper discusses the Cantor set and the Koch curve in detail, expressing them in terms of the usual fractal geometry as well as in terms of L-systems. Different types of fractal dimensions are introduced and discussed in detail. We consider different aspects of the fractal dimensions and give a conclusion about the applicability of the dimensions and their desirable features. The L-system dimension that was introduced by Ortega and Alfonseca in cite{ortega2001determination} is analyzed in this paper and we discuss its limitations and usefulness.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Science Education and Communication
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:27
Last Modified: 15 Feb 2018 08:27
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/14938

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