Geometric Analysis of Ballet Path Based on Least Squares Method

Authors

  • Dongyang Yu

DOI:

https://doi.org/10.54097/fw55eh77

Keywords:

Ballet, Dance Path Analysis, Geometry, Least Squares

Abstract

Mathematics and ballet are unrelated seemingly, but a closer look reveals profound similarities between them. Both are based on precision and strict control, and ballet movement gestures and mathematical equations demonstrate rigorous geometric design and systematic mechanisms together. This study aims to explore how geometric methods can be used to optimise the movement and step paths in ballet, thereby enhancing the symmetry and aesthetics of the dance. By applying combinatorial mathematics and geometry, this study analysed the movement arrangements and paths of the Bluebird choreography, using least squares to fit geometric shapes (e.g. squares, circles, ellipses and triangles) to optimise the dance movements. In the experiment, the dance movements were recorded and analysed using advanced mathematical modelling and motion capture techniques to measure the error between the geometric shapes and the actual dance movements. The results of the study showed that mathematical optimisation significantly enhanced the beauty and expressiveness of the dance choreography. This study revealed the mathematical aesthetics in the art of dance and provided a new perspective for future choreography.

References

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Published

08-01-2025

Issue

Section

Articles

How to Cite

Yu, D. (2025). Geometric Analysis of Ballet Path Based on Least Squares Method. Mathematical Modeling and Algorithm Application, 3(3), 5-10. https://doi.org/10.54097/fw55eh77