The Fusion of Mathematics and Art: Exploring Topological Aesthetics

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Autore principale: yildirim, begum
Natura: Recurso digital
Pubblicazione: Zenodo 2026
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author yildirim, begum
author_facet yildirim, begum
contents <p>This paper investigates the deep connection between mathematics and art, emphasizing how geometry, symmetry, and proportion form the foundation of visual aesthetics. It focuses on <strong>mathematical art</strong> through the perspective of <strong>topological structures</strong> such as the Möbius strip, Klein bottle, and trefoil knot. These forms are not only mathematically fascinating but also serve as sources of <strong>aesthetic inspiration</strong> for both digital and physical artistic creations. The study highlights how mathematical principles can enrich artistic expression by merging logical precision with creative beauty.</p> <br><br> <p><strong>Originality and AI-use statement:</strong><br> This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.</p>
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institution Zenodo
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publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The Fusion of Mathematics and Art: Exploring Topological Aesthetics
yildirim, begum
<p>This paper investigates the deep connection between mathematics and art, emphasizing how geometry, symmetry, and proportion form the foundation of visual aesthetics. It focuses on <strong>mathematical art</strong> through the perspective of <strong>topological structures</strong> such as the Möbius strip, Klein bottle, and trefoil knot. These forms are not only mathematically fascinating but also serve as sources of <strong>aesthetic inspiration</strong> for both digital and physical artistic creations. The study highlights how mathematical principles can enrich artistic expression by merging logical precision with creative beauty.</p> <br><br> <p><strong>Originality and AI-use statement:</strong><br> This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.</p>
title The Fusion of Mathematics and Art: Exploring Topological Aesthetics
url https://doi.org/10.5281/zenodo.20285628