Fractals: the missing link between certainty and uncertainty

Catalin Silviu Nutu

doi:10.1117/12.2567863

31 December 2020 Fractals: the missing link between certainty and uncertainty

Catalin Silviu Nutu

Proceedings Volume 11718, Advanced Topics in Optoelectronics, Microelectronics and Nanotechnologies X; 1171803 (2020) https://doi.org/10.1117/12.2567863
Event: Advanced Topics in Optoelectronics, Microelectronics and Nanotechnologies 2020, 2020, Online Only

Abstract

The paper is approaching the concept of fractal, as being the explanation for both, uncertainty and certainty. The certainty is expressed by the fact that one can create structures and concepts going out from simple instruments such as distances and rules that are generating the respective fractals. On the other side some other fractal forms are ruled by uncertainty, in the sense that the rules are completely unknown or their formula cannot be established exactly. One very special type of rule that is the base for many fractals encountered in the nature is given by the Fibonacci series. It is so special because the deterministic rule it is so simple, but the results and the shapes resulting from it are so complicated and it seems to be like the nature is telling us: “Look at all the complicated things I can create only based on just one simple rule” The paper deals with the shapes of fractals by analyzing them using specific tools of analysis in both, the time domain and the spectral domain.

Citation Download Citation

Catalin Silviu Nutu "Fractals: the missing link between certainty and uncertainty", Proc. SPIE 11718, Advanced Topics in Optoelectronics, Microelectronics and Nanotechnologies X, 1171803 (31 December 2020); https://doi.org/10.1117/12.2567863

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