Sinusoidal: An Exploration of Mathematics and Movement

Abstract

Mathematic theory often takes place in two-dimensional forms. Whether hand-drawn graphs, or three-dimensional models on a screen, the presentation of the subject often lacks the length, breadth, and depth it deserves. Through four phases of research, I explored how one can model mathematic concepts through movement and music, both demonstrably and abstractly. I began my research by basing small dance/movement phrases in simple trigonometric concepts and giving my dancers tasks exploring related subjects. I then examined how other choreographers, both past and present, employed mathematic approaches in their work. To accompany my choreographic work and complete my project, I created a musical score using only single-tone sine wave frequencies. Finally, I interviewed my dancers, as well as other dancers and engineers, to understand how the piece was perceived as both a work of art and an informative display. Through my research, I hope to further the embodied and aesthetic understanding of applied simple and complex mathematic concepts.