During the 'dripfest' experiment adults and children were asked to recreate a painting in Pollock’s style. (Credit: Richard Taylor)
Fractal Math Reveals Why Pollock’s ‘Random’ Splatters Are Impossible to Fake
In A Nutshell
- When 18 children (ages 4-6) and 34 adults (ages 18-25) attempted to recreate Jackson Pollock’s drip technique with identical materials, fractal analysis found adult paintings averaged 1.907 in complexity versus children’s 1.688—adults packed in far more fine detail and distributed it more evenly.
- Researchers suggest biomechanical balance could explain the differences. Adults make constant micro-adjustments while leaning over canvases, creating intricate paint trajectories, while children use simpler, more ballistic movements as their balance systems develop.
- Analysis of Pollock’s Number 14, 1948 placed it closer to children’s patterns than typical adults—potentially reflecting his documented physical challenges from birth trauma, though this connection remains speculative.
- In perception tests, observers rated paintings with higher lacunarity (more clustering) as more pleasant and interesting, even when complexity stayed constant—suggesting texture trumps intricacy in abstract art appeal.
When researchers invited children and adults to recreate Jackson Pollock’s famous “drip painting” technique, they expected to see some differences. What they didn’t expect was that advanced mathematics would reveal a gulf between the two groups. This work may finally help explain why Pollock’s seemingly random splatters have never been successfully replicated, even by experts.
In a study published in Frontiers in Physics, scientists asked 18 children aged four to six years old and 34 adults aged 18 to 25 to pour paint onto horizontal sheets of paper, mimicking the revolutionary technique Pollock made famous in the 1940s. Everyone used identical materials: the same paper size, the same fluid paint, the same mixing sticks. The instructions were simple. Create a painting like Pollock’s examples.
The resulting artworks looked chaotic to the casual eye. But when researchers analyzed them using fractal mathematics and a technique called lacunarity analysis (which measures the “clumpiness” of patterns) clear differences emerged.
Fractal Fingerprints in Paint
Adult paintings scored significantly higher on fractal dimensions, averaging 1.907 compared to children’s 1.688. This means adult paintings contained much more fine-scale detail. Their pour marks featured intricate splatter patterns spreading out from the main trajectories, while children’s paintings showed smoother, more one-dimensional lines with less complex edges.
The lacunarity measurements revealed another distinction. Children’s paintings scored 0.383 on average for what scientists call the “lacunarity slope,” while adults scored just 0.144. Higher lacunarity means more clustering—the paint bunched together more in children’s work, leaving larger gaps and creating a patchy appearance. Adult paintings distributed their complexity more evenly across the canvas.
“Both groups of art display a high visual complexity due to the multi-scaled paint structure generated by the pouring process,” the researchers wrote. But the mathematical signatures were unmistakably different.
The Physics of Pouring Paint
The study reveals that pouring paint involves two interactive processes working at different size scales. Above roughly five centimeters, the patterns record the artist’s body movements, or their trajectories around the canvas. Below that threshold, the patterns capture fluid dynamics: how gravity pulls the paint and how it splatters when hitting the surface.
For the coarser patterns, the researchers suggest that biomechanical balance could play a starring role. When people lean over a canvas while painting, their bodies make constant micro-adjustments to maintain stability. Adults, with their mature balance systems, can make many small corrections that translate into intricate paint trajectories. Children, whose balance mechanisms are still developing, tend to use simpler, more ballistic movements with less frequent directional changes.
“Children have narrower limits, are less accurate in judging them, less cautious as they approach them, and approach them more frequently,” the researchers explained, citing developmental research on balance. When children reach their stability limits, they often over-correct and take longer to restabilize, leading to those clustered, gappy patterns the lacunarity analysis detected.
The splatter patterns show similar age-related differences. Adult paintings featured abundant fine-scale splatter spreading from the main paint lines, while children’s trajectories remained smooth with minimal splatter. This could stem from differences in motion patterns, the many twists and turns in adult movements may promote more complex fluid dynamics.
What About Pollock?
The researchers also analyzed two famous poured works: Pollock’s Number 14, 1948 and Max Ernst’s Young Man Intrigued by the Flight of a Non-Euclidean Fly from 1942. The results surprised them.
Pollock’s painting fell within the adult distribution but sat in the tail closest to the children’s values. This aligns with historical accounts of Pollock’s physical challenges. Francis O’Connor, the chief Pollock scholar, once noted that “Pollock’s birth trauma (strangled by his mother’s umbilical cord) and the attendant symptomology of loss of manual dexterity was decisive in his art.”
Ernst’s painting fell squarely within the children’s distribution. But Ernst used a different technique. He suspended a can of paint from a string like a pendulum and guided it with his hands. This constraint on natural body movements may have dampened the small, intricate actions that tend to produce high fractal dimensions and low lacunarity.
The researchers cautioned that analyzing one painting from each artist provides only preliminary insights. But the findings hint at something rarely discussed: physical limitations might not hinder artistic greatness; they might even contribute to it in some cases.
Why People Like Clustered Chaos
In a follow-up perception study, 91 observers rated 19 of the adult paintings for complexity, interest, and pleasantness. The results contradicted common assumptions.
Higher lacunarity (more clumpiness) correlated with higher ratings for pleasantness and interest, even though perceived complexity remained steady. People preferred the more clustered patterns but couldn’t articulate why. The texture of the artwork, not just its overall complexity, influenced aesthetic appeal. Paintings with lower fractal dimensions and higher lacunarity, closer to the children’s mathematical signatures, received higher pleasantness ratings.
“Our study shows that the artistic patterns generated by children are distinguishable from those created by adults when using the pouring technique made famous by Jackson Pollock,” said senior author Prof Richard Taylor, a professor of physics, psychology, and art at the University of Oregon, in a statement. “Remarkably, our findings suggest that children’s paintings bear a closer resemblance to Pollock paintings than those created by adults.”
Implications for Art and Science
The study demonstrates that even when using identical materials and instructions, age-related factors, likely including biomechanical balance, motor control, and painting duration, create measurably different artistic outputs. Adults may have painted longer than children, adding more layers of fine detail. Their mature coordination systems may support more sustained, intricate movements than children’s developing systems.
These mathematical techniques could offer new tools for art authentication. Previous artificial intelligence approaches that incorporated fractal parameters achieved 96 to 99 percent accuracy in distinguishing authentic Pollocks from imitations. Lacunarity analysis might add another dimension to these authentication toolkits.
Beyond authentication, the research connects creativity and constraint. Pollock’s work transformed modern art despite his physical limitations. The mathematical patterns that set his painting apart from typical adults’ could reflect those constraints, although that idea is still speculative.
The researchers emphasized that their study represents just a preliminary exploration. Future experiments will attach motion sensors to artists during painting sessions, directly measuring biomechanical balance and comparing it to the resulting fractal patterns. They’ll also expand the analysis to include more works by Pollock and other poured painters.
For now, the answer to whether a child can paint like Pollock appears to be no, at least not with the same mathematical signatures. Whether that matters for art appreciation is another matter entirely. After all, people rated the more child-like patterns as more pleasant, even if they couldn’t explain why.
Paper Notes
Study Limitations
The researchers acknowledged several important limitations. The study did not include direct measurements of the artists’ biomechanical balance during painting, relying instead on established developmental research showing differences between children and adults. The analysis examined only one painting each from Jackson Pollock and Max Ernst, making those comparisons preliminary rather than definitive. The fractal and lacunarity measurements covered a limited size range compared to mathematical fractals, spanning from 2.5 millimeters to 31 centimeters. Multiple factors beyond balance could explain differences between age groups, including physical size variations (average heights of 110 cm for children versus 168 cm for adults), arm span differences, painting duration, concentration levels, and differing interpretations of instructions. The perception study excluded 15 adult paintings that contained recognizable patterns, and included no children’s paintings due to their distinct visual characteristics. Sample sizes were relatively small, with 18 children and 34 adults in the painting experiment, and 91 observers in the perception study.
Funding and Disclosures
The research received financial support from multiple sources. J.R. Mureika served as a Kavli Institute for Theoretical Physics Scholar, with the KITP Scholars Program supported in part by the National Science Foundation under Grant No. NSF PHY-1748958. R.P. Taylor is a Cottrell Scholar of the Research Council for Science Advancement. The children’s painting experiments received support from the University of Oregon Psychology Department’s undergraduate grant. The authors declared no commercial or financial conflicts of interest. Author B. Spehar disclosed being an editorial board member of Frontiers at the time of submission, which had no impact on the peer review process.
Publication Details
The study “A question of Jackson Pollock’s balance: using lacunarity and fractal analysis to distinguish poured paintings by adults and children” was authored by M.S. Fairbanks, C. Viengkham, A. Andersson, D. Baldwin, B. Spehar, J.R. Mureika, and R.P. Taylor. The paper was published in Frontiers in Physics, Volume 13, on November 19, 2025. DOI: 10.3389/fphy.2025.1673780. The research involved multiple institutions: Department of Physics at University of Oregon (Fairbanks, Taylor), Department of Sciences and Mathematics at California State University Maritime Academy (Fairbanks), School of Psychology at University of New South Wales (Viengkham, Spehar), Department of Psychology at Linnaeus University in Sweden (Andersson), Department of Psychology at University of Oregon (Andersson, Baldwin), Department of Physics at Loyola Marymount University (Mureika), and Kavli Institute for Theoretical Physics at University of California, Santa Barbara (Mureika).







