Sinusoidal: An Exploration of Mathematics and Movement

  • Caroline Grace Lockwood University of Florida

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.

Author Biography

Caroline Grace Lockwood, University of Florida
Caroline is a third-year BFA Dance and Industrial and Systems Engineering double major at the University of Florida.

References

Buckwalter, M. (2011). Composing while dancing an improvisers companion. Madison, WI: University of Wisconsin Press.

Clark, S. (2018, January 25). Why sin and cos don't mean anything. Retrieved from https://www.youtube.com/watch?v=AzVL432lEWA

David Odde. (n.d.). Retrieved from https://www.blacklabelmovement.com/david-odde

Elert, G. (1998). Trigonometry – The Physics Hypertextbook. Retrieved March, 2019, from https://physics.info/trigonometry/

Geek3. (2010, July 16). Sine cosine one period [Digital image]. Retrieved March, 2019, from https://commons.wikimedia.org/wiki/File:Sine_cosine_one_period.svg

Mazzoni, D., & Dannenberg, R. (2000). Audacity (Version 2.3.0) [Computer software]. Retrieved March, 2019.

Nielsen, M. (2015). Neural Networks and Deep Learning. Retrieved March, 2019, from http://neuralnetworksanddeeplearning.com/chap1.html

Nuye/01asdfg23. (2010, August 25). Music for sine wave. Retrieved January, 2019, from https://www.youtube.com/watch?v=_Sj8p2T6380

Pajs. (2007, May 23). Graf tangens [Digital image]. Retrieved March, 2019, from https://commons.wikimedia.org/wiki/File:Graf_tangens.png

Patel, K. (2012, December 06). Bodystorming- Black Label Movement. Retrieved from https://www.youtube.com/watch?v=wy2UYFgbwxc

Sanderson, G. (2017, October 05). But what *is* a Neural Network? | Deep learning, chapter 1. Retrieved from https://www.youtube.com/watch?v=aircAruvnKk

TED-Ed. (2012, November 28). Dance vs. PowerPoint, a modest proposal - John Bohannon. Retrieved from https://www.youtube.com/watch?time_continue=3&v=0nqhopRhju4

Tharp, T., & Reiter, M. (2006). The creative habit learn it and use it for life: A practical guide. New York: Simon & Schuster.

Thoma, M. (2015, November 5). Triangle-unit-circle [Digital image]. Retrieved March, 2019, from https://commons.wikimedia.org/wiki/File:Triangle-unit-circle.svg

Published
2019-11-19