Golden Ratio and Cybernetic Aesthetics for Hidden Patterns in Repetitive Human Movements: Golden-faux-sinus as a...

Area of Science:

• Cybernetic Aesthetics
• Biomechanics
• Information Theory

Background:

• Human perception of aesthetics is subjective and difficult to quantify.
• Cybernetic aesthetics offers a framework for rational analysis of aesthetic phenomena.
• Cyclic human movements exhibit complex temporal and spatial characteristics.

Purpose of the Study:

• To investigate the underlying principles governing the temporal and spatial organization of cyclic human movements.
• To explore the role of information processing and fractal patterns in movement generation.
• To identify potential attractors in movement dynamics.

Main Methods:

• Analysis of temporal characteristics of cyclic movements (gait, swimming, tennis strokes).
• Application of fractal analysis and Shannon entropy minimization (SEM) to movement sub-phases.
• Identification of harmonic fractal patterns, Fibonacci sequences, and the golden ratio.
• Introduction of the 'golden faux sinus' attractor based on zero-jerk portions.

Main Results:

• Cyclic movements exhibit self-similar harmonic fractal patterns in their temporal structure.
• Movement sub-phases are often governed by the golden ratio, minimizing information (SEM).
• A novel 'golden faux sinus' attractor was identified, explaining spatial organization.
• These patterns are observable by viewers, influencing aesthetic perception.

Conclusions:

• The golden ratio and fractal patterns play a crucial role in the temporal organization of human cyclic movements.
• The 'golden faux sinus' attractor provides insight into the neuromuscular system's organization of complex movements.
• Information processing is fundamental to sub-movement generation, potentially explaining aesthetic appeal.