Fractal Vision: (Left) The red trajectory shows the fractal motion of the eye as the observer looks at one of Jackson Pollock’s fractal paintings. (Right) A fMRI scan shows the region of the brain that are activated when viewing a fractal pattern.
I lead an interdisciplinary research network that investigates the positive physiological changes that occur in people when they look at fractal patterns. The experiments – which use eye-tracking equipment to examine how people look at the patterns, and qEEG and fMRI probing techniques to quantify the resulting brain activity – indicate that people are ‘hard-wired’ to respond to a specific form of fractal found in nature, one that reduces stress levels by up to 60%. This stress-reduction is triggered by a physiological resonance that occurs when the fractal structure of the visual system matches that of the fractal image being viewed. Our discovery that exposure to fractals automatically relaxes people holds crucial implications for society: the U.S. spends over $300 billion annually on stress-induced illnesses, and stress is increasingly blamed for precipitating debilitating disorders such as schizophrenia.
As society increasingly surrounds itself with urban landscapes, people risk disconnecting from this natural stress-reducer. Accordingly, my group investigates people’s responses to paintings created by artists famous for capturing the essence of nature on their canvases. For example, the positive physiological responses of viewing Jackson Pollock’s poured paintings and Mauk Escher’s tessellations might explain their enduring popularity. The long-term goal is to collaborate with artists and architects to incorporate stress-reducing fractals into novel indoor and outdoor environments. These ‘biophilic’ fractals could be used in many applications, ranging from keeping astronauts calm on their long journeys into space to soothing anxious patients in dentist waiting rooms. Current projects include stress-reducing solar panel designs and also award-winning fractal carpets manufactured by Mohawk (https://around.uoregon.edu/content/new-carpeting-will-have-people-walking-fractals).
Selected Recent Publications
Behavioral and Physiological Responses to Fractals:
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“Fractal Fluency: Processing of Fractal Stimuli Across Sight, Sound and Touch”, Fractal Geometry of the Brain II, Springer 2024
- “Using Fractal Iconography to Emulate Nature’s Aesthetics, Nonlinear Dynamics, Psychology, and Life Sciences”, vol. 28, No. 1, pp. 111-120.
- “Bring Nature Indoors: Characterizing the unique contribution of fractal structure and the effects of Euclidean context on perception of fractal patterns”, Frontiers of Psychology, vol.14, 2023
- “Fractal Shifts and Aesthetic Rifts: Climate Change and Emotional Well-being” Climatic Change 173, 1-9 (2022)
- “What happens to your brain when you walk down a street?”, Urban Science, 6, https://doi.org/10.3390/urbansci6010003, 2022
- “Aesthetics and Psychological Effects of Fractal Designs”, Frontiers in Psychology, (2021)
- “Fractal Fluency in the Built Environment”, Published by Fractals Research 2021 ISBN ISBN: 978-0-9791874-8-3 0-9791874-8-6
- “Working with Fractals”
- “Fractal analysis of time-series data sets: Methods and Challenges.” Chapter to “Fractal Analysis” IntechOpen, 2019
- “The potential use of fractal designs to promote health and performance: a review of experiments and applications”, Sustainability, 13, 823, (2021), DOI: 10.3390/13020823
- “A Shared Fractal Aesthetic Across Development”, Nature: Humanities and Social Science Communications”, (2020) 7:158 | https://doi.org/10.1057/s41599-020-00648-y
- “Investigating Visual Comfort, Visual Interest of Sunlight Patterns and View Quality Under Different Window Conditions in an Open Plan Office” Journal of the Illuminating Engineering Society (2020) DOI: 10.1080/15502724.2020.1785309
- “Fractal Solar Panels: Optimizing Aesthetic and Electrical performances”, PLOS ONE, 15(3):e0229945 (2020)
- “Relaxing Floors: Fractal Fluency for the Built Environment”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 24, 127 (2020).
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“The Sinai light show: using science to tune fractal aesthetics”, chapter to the book “Armchair and Paintbrush: An Eternal Philosophico-Artistic Tango” (Springer) 2019.
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“Fractals in architecture: The visual interest, preference, and mood response to projected light patterns in interior spaces”, Journal of environmental psychology, 61, 57-70 (2019)
- “The Implications of Fractal Fluency for Biophilic Architecture”, Journal of Biourbanism, 6 23-40 (2018)
- “Seeing shapes in seemingly random spatial patterns: Fractal analysis of Rorschach inkblots” PLOS ONE (doi:10.1371/journal.pone.0171289)
- “Navigation Performance in Virtual Environments Varies with Fractal Dimension of Landscape” Journal of Environmental Psychology, 47, 155-165 (2016) (doi: 10.1016/j.jenvp.2016.05.011)
- “Relationship between Fractal Dimension and Spectral Scaling Decay Rate in Computer-Generated Fractals” Symmetry 8, 66 (2016): doi:10.3390/sym8070066
- “The Aesthetic Response to Exact Fractals Driven by Physical Complexity”
Frontiers in Human Neuroscience, 10 (201) (2016) doi:10.3389/fnhum.2016.00210 - “Taxonomy of Individual Variations in Aesthetic Responses to Fractal Patterns,” Frontiers in Human Neuroscience, 10: 350 (2016) doi:10.3389/fnhum.2016.00350
- “A Complex Story: Universal Preference vs. Individual Differences Shaping Aesthetic Response to Fractal Patterns” Frontiers in Human Neuroscience 10 (213) (2016) doi:10.3389/fnhum.2016.00213
- “Beauty and the Beholder: The Role of Visual Sensitivity in Visual Preference”, Frontiers in Human Neuroscience, 9 (514) (2015) doi:10.3389/fnhum.2015.00514
- “Temporal Structure of Human Gaze Dynamics Is Invariant During Free Viewing”, PlosOne, 10 (9) (2015) doi:10.1371/journal.pone0139379
- “Fractal Fluency: An Intimate Relationship Between the Brain and Processing of Fractal Stimuli”, Chapter in The Fractal Geometry of the Brain, Springer
- “Fractal Images Induce Fractal Pupil Dilations”, The International Journal of Psychophysiology, 93, 316 (2014)
- “Human Physiological Benefits of Viewing Nature: EEG Response to Exact and Statistical Fractal Patterns”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences, 19 1-12 (2015)
- “Fractals in Art and Nature: Why Do We Like them?” SPIE, special edition on Human Vision and Electronic Imaging, 8651 865118 (2013)
- “Perceptual and Physiological Responses to Jackson Pollock’s Fractals” Frontiers in Human Neuroscience 5 1 (2011)
- “Scaling Analysis of Spatial and Temporal Patterns: From the Human Eye to the Foraging Albatross” Chapter to the book Non-linear Dynamical Analysis for the Behavioral Sciences Using Real Data CRC Press, Taylor and Francis Group (Boca Raton) ISBN 978-1-4398-1997-5 (2011)
- “Investigation of EEG Response to Fractal Patterns” Perception 37 1488 (2008)
- “Reduction of Physiological Stress Using Fractal Art and Architecture” Leonardo 39 245 (2006)
- “Fractals: a Resonance between Art and Nature” chapter to the book Mathematics and Culture II Springer 53 (2005)
- “Perceptual and Physiological Response to the Visual Complexity of Fractals”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 9 89 (2005)
- “Fractal Dimension of Landscape Silhouette as a Predictor of Landscape Preference” Journal of Environmental Psychology 24 247 (2004)
- “Universal Aesthetic of Fractals” Chaos and Graphics 27 813 (2003)
Jackson Pollock:
- “Fractal Expressionism: the Art and Science Behind Jackson Pollock’s Paintings” book to be published in 2017 (not available for download)
- Fractal analysis of Pollock’s drip paintings, Nature, 422, 399 (1999)
- “The Abstract Expressionists and Les Automatistes: A Shared Multi-fractal Depth” Signal Processing, 573-878, 93, 2013
- “Francis O’Connor discusses Pollock’s Fractal Patterns”
- “Chaos, Fractals, Nature: A New Look at Jackson Pollock”, book published by Fractals Research ISBN: 0-9791874-1-9 (2010)
- “Perceptual and Physiological Responses to Jackson Pollock’s Fractals” Frontiers in Human Neuroscience 5 1 (2011)
- “Multifractal and Statistical Comparison of Painting Techniques of Adults and Children” SPIE Proceedings of Electronic Imaging, special edition on Computer Vision and Image Analysis of Art 75317531001-6(2010)
- “Dimensional Interplay Analysis of ‘Poured’ Paintings” Fractals Research ISBN: 0-9791874-4-3 (2008)
- “Authenticating Pollock Paintings with Fractal Geometry” Pattern Recognition Letters 28 695 (2007)
- “Revisiting Pollock’s Poured Paintings” Nature Communications Arising 44 doi:10:1038/nature05399 (2006)
- “In the Hands of the Master” by Alison Abbott Nature 439 648 (2006)
- “Personal Reflections on Pollock’s Fractal Paintings” Invited essay, special edition of the JournalHistory, Science and Health 13 108-23 (2006)
- “Fractal Expressionism – Where Art Meets Science” Invited Chapter to the book Art and ComplexityElsevier Science Amsterdam (2003)
- “Order in Pollock’s Chaos” Scientific American 287 116 (2002)
- “The Construction of Pollock’s Fractal Drip Paintings” Leonardo 35 203-7 (2002)
Yves Klein:
- “Emergence of Patterns from Nature’s Chaos, Through Parallels Between Edward Lorenz and Yves Klein” The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 13 341 (2009)“A Fascination with Fractals”, Invited essay, Physics World, September 2013
Piet Mondrian:
- “Mondrian, Pollock and Nature: Recent Scientific Investigations” published in Chaos and Complexity in Arts and Architecture, a special edition of Chaos and Complexity Letters 1 29 (2004)
- “Spotlight on a Visual Language” Nature 415 961 (2002)
Mauk Escher:
- “The Art and Science of Tesselations”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences, 17 317-323 (2013)
- “Reflecting the Impossible” Nature 460 462 (2009)
Jan Van Eyck:
- “Evidence for mechanical copying and enlarging in Jan van Eyck’s Portrait of Niccolo Albergati”, Side-bar to D. Stork’s article, “Optics and Realism in Renaissance Art”, Scientific American, December 2004
Frank Gehry/FractalArchitecture:
- “The Search for Stress-Reducing Art: Fractal Geometry from Jackson Pollock to Frank Gehry” Invited chapter to the book Mathematics and Culture V, 239, Springer-Verlag (2006)
- “Architect Reaches for the Clouds” Nature 410 18 (2001)
Fractal Foams:
- “The Art and Science of Foam Bubbles”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 15 (2011)
Fractal Crops Circles:
- “Coming Soon to Field Near You: The Physics of Crop Circle Formation” Physics World, August (2011)
- “The Crop Circle Evolves” Nature 465 693 (2010)
BIophilic Fractals:
- “Biophilic Fractals and the Visual Journey of Organic Screen-savers” The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 12 117 (2008)
Tactile Fractals:
- “The Museum of Unnatural Form: The Visual and Tactile Experience of Fractals”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences, 13 145-154 (2009)
Virtual Fractals:
- “The Transience of Virtual Fractals”, The Journal of Nonlinear Dynamics, Psychology, and Life Sciences, 16, 91-96 (2012)
Neuro-Aesthetics:
- “Across The Cultural Divide” Nature 463 431 (2010)
Fractal Music and Art:
- “Artistic Forms and Complexity” The Journal of Nonlinear Dynamics, Psychology, and Life Sciences 15 265 (2011)
Fractals in Economics:
- “Social Mood, Deep History and the Elliot Waves Principle” Fractals Research 1, ISBN 978-0-9791874-5-2 (2011)
- “Mood Swings” Science 329 1149 (2010)
Fractal Levy Flights:
- “Levy Flights” Invited Essay in the Encyclopedia of Non-linear Science” Fitzroy-Dearborn, London, ISBN 1-57958-385-7 (2005)
Fractal Creativity:
- “Organic Creativity and the Physics Within”, Book published by John Benjamins Publishing Company (Amsterdam) (2013)
Orthodox Paintings:
- “Kolmogorov compression complexity may differentiate different schools of Orthodox iconography”, Scientific Reports, 12:10743 (2022)