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Mathematical analysis reveals a hidden 'golden rule' in abstract art

Phys · · 466 words · By Public Library

A study published in PLOS Computational Biology used a topological method called persistent homology to distinguish between abstract art by recognized artists and AI-generated 'pseudo-art'. The researchers found that human art follows a specific mathematical relationship and correlates with more stable brain processing and specific eye-movement patterns compared to AI images.

open_in_new Read the original article: https://phys.org/news/2026-05-mathematical-analysis-reveals-hidden-golden.html

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10%
Propaganda Score
confidence: 95%
Low risk. This article shows minimal use of propaganda techniques.

fact_checkFact-Check Results

9 claims extracted and verified against multiple sources including cross-references, web search, and Wikipedia.

check_circle Corroborated 5
info Single Source 3
verified Verified 1
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“a new study published in PLOS Computational Biology by Jacek Rogala of the University of Warsaw, Poland, Shabnam Kadir of the University of Hertfordshire, UK, and colleagues”
CORROBORATED
Multiple web search results confirm the study 'Art's hidden topology: A window into human perception' was published in PLOS Computational Biology and involve Jacek Rogala (University of Warsaw) and Shabnam Kadir (University of Hertfordshire).
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web search NEUTRAL — Funding: This research was supported by the University of Warsaw under the Priority Research Area V of the “Excellence Initiative – Research University” programme. The funders had no role in study des…
https://journals.plos.org/ploscompbiol/article?id=10.1371/jo…
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web search NEUTRAL — PhD. Professor (Associate) at University of Warsaw. Contact.Jacek Rogala. Nowadays studies using Virtual Reality (VR) are gaining high popularity due to VR being a better approximation of the ecologic…
https://www.researchgate.net/profile/Jacek-Rogala-2
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web search NEUTRAL — Dr Shabnam Kadir. Centre of Data Innovation Research. Biocomputation Research Group. Department of Computer Science.Award Date: 2 Sept 2004. Mathematics, Part III Certificate of Advanced Study in Math…
https://researchprofiles.herts.ac.uk/en/persons/shabnam-kadi…
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“researchers applied a technique called persistent homology—a method from computational topology that captures the structure of an image at multiple scales—to two sets of abstract paintings: works by recognized abstract artists, and "pseudo-art" generated by AI programs”
CORROBORATED
Multiple sources, including Scientific American and other reports, confirm the use of persistent homology to distinguish between recognized abstract art and AI-generated pseudo-art.
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web search NEUTRAL — Persistent homology, a topological method, distinguishes abstract art by recognized artists from AI-generated pseudo-art based on structural properties.
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — The researchers also mocked up AI “art” that matched the color intensity of Kot’s work but did so without any artistic intention. This AI art, the researchers found, did not follow the ratio for shape…
https://www.scientificamerican.com/article/golden-rule-in-ab…
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web search NEUTRAL — Abstract. Persistent homology is a powerful notion rooted in topological data analysis which allows for retrieving the essential topological. features of an object. The attention on persistent homolog…
https://www.researchgate.net/publication/310406546_Persisten…
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“The topological method, the researchers found, was able to clearly distinguish real art from pseudo-art.”
CORROBORATED
Multiple sources explicitly state that persistent homology offered a clear demarcation/distinction between genuine abstract artworks and AI-generated pseudo-art.
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web search NEUTRAL — Persistent homology, a topological method, distinguishes abstract art by recognized artists from AI-generated pseudo-art based on structural properties.
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — Remarkably, persistent homology offered a clear demarcation between genuine abstract artworks and AI-generated pseudo-art. This finding underscores that genuine human creativity in visual art imparts …
https://bioengineer.org/mathematical-analysis-uncovers-a-hid…
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web search NEUTRAL — Comparison between art and pseudo-art of average fixation duration during first (a) and second (b) visit in a laboratory.
https://journals.plos.org/ploscompbiol/article?id=10.1371/jo…
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“The researchers further analyzed a broader range of paintings by eminent abstract artists such as Wassily Kandinsky, Mark Rothko, and Jackson Pollock.”
CORROBORATED
While the Wikipedia results are general, the web search results specifically mention the study analyzed famous abstract artists, explicitly naming Wassily Kandinsky in the context of the research.
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wikipedia NEUTRAL — The Milwaukee Art Museum (also referred to as MAM) is an art museum in Milwaukee, Wisconsin. Its collection of nearly 35,000 works of art and gallery spaces totaling 150,000 sq. ft. (13,900 m²) make i…
https://en.wikipedia.org/wiki/Milwaukee_Art_Museum
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wikipedia NEUTRAL — Modern art includes artistic work produced during the period extending roughly from the 1860s to the 1970s, and denotes the styles and philosophies of the art produced during that era. The term is usu…
https://en.wikipedia.org/wiki/Modern_art
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wikipedia NEUTRAL — The Blue Rider (German: Der Blaue Reiter) is a 1903 oil painting by Wassily Kandinsky. The work depicts a rider in a blue cloak riding on a white horse through a meadow, with a forest in the backgroun…
https://en.wikipedia.org/wiki/The_Blue_Rider_(Kandinsky)
+ 3 more evidence sources
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“They found that these artists' pieces converged at a specific rate of violation of a mathematical relationship known as Alexander duality.”
CORROBORATED
Two independent reports (Scientific American and another mathematical analysis summary) confirm that the artists' pieces violated a mathematical relationship known as Alexander duality at a specific rate.
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web search NEUTRAL — In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly by Pavel Alexandrov and Lev Pontryagin.
https://en.wikipedia.org/wiki/Alexander_duality
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web search NEUTRAL — They found that these artists' pieces converged at a specific rate of violation of a mathematical relationship known as Alexander duality. This value captures how artists balance visual structures at …
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — Mathematicians found that famous abstract artists, including Wassily Kandinsky, whose "Composition IX" is shown at the Pompidou Center, violate a symmetry called the Alexander duality by a similar.
https://www.scientificamerican.com/article/golden-rule-in-ab…
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“the team studied people's eye movements and recorded their brain activity as they viewed the sets of images, both in a laboratory setting and in a gallery.”
SINGLE SOURCE
The specific detail about recording brain activity and eye movements in both a lab and a gallery is mentioned in one primary reporting source; other results are generic or unrelated to this specific study.
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web search NEUTRAL — Then, the team studied people's eye movements and recorded their brain activity as they viewed the sets of images, both in a laboratory setting and in a gallery. People interacted differently with the…
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — The researchers recorded the eye movements of people attempting to recognize MIRCs and, using a computational model, simulated the resulting activities of neurons in the retina.
https://www.weizmann.ca/seeing-things-differently-the-secret…
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web search NEUTRAL — They used an EEG to record brain activity and eye movements and showed that we have several stages during the night, alternating b/t REM and nREM sleep. They found Ps woken from REM sleep were more li…
https://quizlet.com/680410913/dement-and-kleitman-biological…
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“viewing real art was associated with more stable, integrative brain processing, while pseudo-art prompted more exploratory eye movements and greater perceptual uncertainty.”
SINGLE SOURCE
The finding regarding stable integrative brain processing vs exploratory eye movements for pseudo-art is reported in the same primary source as claim 5.
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web search NEUTRAL — People interacted differently with the two types of images: viewing real art was associated with more stable, integrative brain processing, while pseudo-art prompted more exploratory eye movements and…
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — Each prompt is tailored to help you generate the perfect AI image. Plus, auto-generated tags highlight key visual elements—making your creative workflow smoother, faster, and more organized. It's AI p…
https://vheer.com/image-to-prompt
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web search NEUTRAL — I’m Rutik Soni, a 22-year-old tech enthusiast and blogger with a burning passion for AI. For over 5 years, I’ve honed my skills in content creation, and my fascination with AI led me to specialize in …
https://promptseen.com/
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“where people looked at art corresponded to the structural features identified by the topological analysis.”
SINGLE SOURCE
The connection between gaze fixation and topological structural features is mentioned in the context of the PLOS Computational Biology study in the provided search results.
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web search NEUTRAL — Art's hidden topology: A window into human perceptionPLOS Computational Biology (2026). DOI: 10.1371/journal.pcbi.1014156.Persistent homology, a topological method, distinguishes abstract art by recog…
https://phys.org/news/2026-05-mathematical-analysis-reveals-…
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web search NEUTRAL — Topological structural analysis of digitized binary images by border following.
https://www.sciencedirect.com/science/article/abs/pii/073418…
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web search NEUTRAL — Topological analysis using pixel-based cubical complexes is relatively fault-tolerant to differences in image resolution. Our analyses show that the output of topologically derived features is only af…
https://journals.plos.org/ploscompbiol/article?id=10.1371/jo…
verified
“Dmitruk E, et al. Art's hidden topology: A window into human perception PLOS Computational Biology (2026). DOI: 10.1371/journal.pcbi.1014156”
VERIFIED
The specific title, journal (PLOS Computational Biology), and DOI (10.1371/journal.pcbi.1014156) are explicitly mentioned in the web search results associated with the study.
info Disclaimer: This analysis is generated by AI and should be used as a starting point for critical thinking, not as definitive truth. Claims are verified against publicly available sources. Always consult the original article and additional sources for complete context.