Fractal Analysis: revisiting Pollock's drip paintings

Area of Science:

• Art analysis
• Chaos theory
• Fractal geometry

Background:

• Jackson Pollock's drip paintings are often discussed in relation to fractal geometry.
• The hypothesis that his unique style resulted from Lévy motion is debated.
• Fractal analysis is proposed as a tool for art authentication.

Purpose of the Study:

• To investigate if Jackson Pollock's drip paintings are fractals generated by Lévy motion.
• To determine the viability of using fractal analysis for artwork authentication.

Main Methods:

• Analysis of fractal characteristics in Pollock's drip paintings.
• Comparison of fractal patterns generated by Lévy motion, Gaussian motion, and freehand drawing.

Main Results:

• Pollock's paintings exhibit fractal characteristics over a limited range, insufficient for robust fractal classification.
• The observed fractal properties can be replicated by non-Lévy motion, including Gaussian random motion and freehand drawing.
• The findings challenge the direct link between Lévy motion and the fractal nature of Pollock's art.

Conclusions:

• The fractal characteristics of Pollock's drip paintings are not sufficiently pronounced or unique to support the Lévy motion hypothesis.
• Current fractal analysis methods face significant challenges for authenticating artworks due to the limited fractal range and replicability by simpler methods.
• Further research is needed to refine fractal analysis techniques for reliable art authentication.