Shall We (Math and) Dance?
Maria Mannone, Luca Turchet

TL;DR
This paper explores how category theory can be used to model and analyze the structural similarities between dance and music, extending mathematical formalism to the domain of dance.
Contribution
It introduces a novel application of category theory to describe dance structures and highlights parallels with music through formal diagrammatic methods.
Findings
Mathematical formalism can describe dance structures.
Structural similarities between music and dance are highlighted.
Extends category theory applications to dance analysis.
Abstract
Can we use mathematics, and in particular the abstract branch of category theory, to describe some basics of dance, and to highlight structural similarities between music and dance? We first summarize recent studies between mathematics and dance, and between music and categories. Then, we extend this formalism and diagrammatic thinking style to dance.
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