InterJournal Complex Systems, 569
Status: Submitted
Manuscript Number: [569]
Submission Date: 20531
The use of fractals for the study of the psychology of perception
Author(s): Olga Mitina

Subject(s): CX.41, CX.00, CX.08

Category: Article


The present article deals with perception of time (subjective assessment of temporal intervals), complexity and aesthetic attractiveness of visual objects. The experimental research for construction of functional relation between objective parameters of fractals’ complexity (fractal dimension and Lyapunov exponent) and subjective perception of their complexity was conducted. As stimulus material we used the program created by F.Abraham, based on Sprott’s algorithms of generation of fractals and calculation of their mathematical characteristics. For the research 20 fractals were selected which had different fractal dimension varied from 0.52 to 2.36, and the Lyapunov exponent – from 0.01 to 0.22. We conducted 2 series of experiments. 1. 20 fractals were showed to subjects (93 persons). The pictures of the fractals were formed on the screen of the computer during randomly chosen time interval in the definite range (from 5 till 20 sec). For every fractal the subject should give the answers about his (her) opinion about the complexity and attractiveness of the fractal using ten-point scale. Each subject also answered the questions of some personality tests (Kettel and other). The main purpose of this series was the analysis of correlation between personal characteristics of respondents and their subjective perception of complexity, attractiveness and time of fractal’s presentation. 2. The same 20 fractals were showed to subjects (47 persons), but they were forming on the screen of the computer during the same time interval (for all fractals and all subjects). Subjects also estimated subjective complexity and attractiveness of fractals. The given series was necessary for revealing what depends on concrete fractal when a subject answers the questions about the complexity and attractiveness in the fixed time interval of presentation. The hypothesis on the applicability and fulfillment of Weber-Fechner law for the perception of time, complexity and subjective attractiveness was confirmed.

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