Aesthetic Responses to Exact Fractals Driven by Physical Complexity.

Area of Science:

• Visual perception
• Cognitive psychology
• Aesthetics

Background:

• Fractals exhibit self-similarity across scales, with natural fractals having statistical pattern repetition and computer-generated fractals having exact repetition.
• The human aesthetic response to exact fractals, compared to statistical ones, remains underexplored.

Purpose of the Study:

• To investigate the human aesthetic response to the complexity of exact fractals.
• To determine how fractal dimension, symmetry, and recursion influence aesthetic preference.
• To compare the processing of exact fractals with statistical fractals.

Main Methods:

• Two studies presented various exact fractal patterns to human participants.
• Manipulated fractal dimension, symmetry (radial, mirror), and recursion levels.
• Collected preference ratings and analyzed the interaction of fractal properties.

Main Results:

• Preference for exact midpoint displacement fractals increased linearly with fractal dimension.
• Symmetry significantly enhanced preference ratings, especially at lower recursion levels and moderate to high fractal dimensions.
• Higher recursion levels were needed to achieve high preference in asymmetric fractals compared to symmetric ones.

Conclusions:

• Exact fractals are processed differently than statistical fractals, with aesthetic judgments influenced by dimension, recursion, and symmetry.
• Aesthetic preference is modulated by the interplay of these fractal properties.
• Proposed four key factors (dimension, recursion, symmetry, segment number) influencing fractal complexity and preference judgments.