Brushstrokes and Tensor Products: Painting with a Monoidal Category

This article offers an intuitive introduction to monoidal categories through the lens of painting, presenting abstract mathematical concepts with visual and tactile analogies. Aimed at curious undergraduates and non-specialists, it seeks to demystify category theory by showing how ideas like the tensor product, associators, and braidings can be understood as compositional tools on a canvas.

Publication Details

Journal
ArXiv.org
Published
2025-08-07
Primary Topic
Art, Technology, and Culture
Type
article
Field-Weighted Citation Impact
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article

Brushstrokes and Tensor Products: Painting with a Monoidal Category

ArXiv.org
Art, Technology, and Culture
article

Brushstrokes and Tensor Products: Painting with a Monoidal Category

article en

Abstract

This article offers an intuitive introduction to monoidal categories through the lens of painting, presenting abstract mathematical concepts with visual and tactile analogies. Aimed at curious undergraduates and non-specialists, it seeks to demystify category theory by showing how ideas like the tensor product, associators, and braidings can be understood as compositional tools on a canvas.

ArXiv.org
Openalex Percentile: Top 47%
Art, Technology, and Culture
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Brushstrokes and Tensor Products: Painting with a Monoidal Category · ArXiv.org (2025) | TGRS Research Map | TGRS