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VOLUME 4 , ISSUE 1 ( January-March, 2025 ) > List of Articles

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Deterministic Chaos–Fractals

Dževad Zečić, Samir Lemeš

Keywords : Fractal dimensions, Fractals in art, Fractals, Platonic solids

Citation Information : Zečić D, Lemeš S. Deterministic Chaos–Fractals. 2025; 4 (1):25-34.

DOI: 10.5005/jp-journals-11005-0086

License: CC BY-NC 4.0

Published Online: 31-01-2025

Copyright Statement:  Copyright © 2025; The Author(s).


Abstract

At the end of the 20th century, a new science revealed the complex connections between orderly and chaotic behavior. These were hidden regularities describable only by the ratio of large and small scales—fractals. Fractals are irregular and fragmented figures, jagged and broken forms, from the crystalline curves of a snowflake to the disjointed nebulae of a galaxy. Scientists recognized that the fine geometric structure is an order disguised as disorder. Behind the individual, visible forms of things must lie ghostly forms that serve as invisible foundations—shapes in motion. Repeated procedures in the complex plane can create many fractal shapes, but the Mandelbrot set is unique. This set of fractals is believed to contain a whole universe of ideas: contemporary philosophy of art, confirmation of the new role of experimentation in mathematics, and a way of bringing complex systems to a broad audience.


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