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How fractal is dancing?

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  • Tatlier, Melkon
  • Şuvak, Rana

Abstract

Fractal analysis was applied to the patterns formed on the dance floor by footwork while performing various dance figures. Several Latin-American dances were taken into consideration and the box-counting method was used to estimate the fractal dimensions of these patterns. Rumba was determined to produce the most fractal pattern with a fractal dimension of about 1.36 in the mesh size range used while Merengue exhibited the least fractal one with a dimension of about 1.16. The magnitude of the fractal dimension seemed to be mainly dependent on the simplicity/complexity of the dance figures as well as the characteristic rhythm of the music dictating the basic footwork and figures performed. Well-known fractal shapes, such as the Koch curve might be used to provide insights for generating new dance figures.

Suggested Citation

  • Tatlier, Melkon & Şuvak, Rana, 2008. "How fractal is dancing?," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1019-1027.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:1019-1027
    DOI: 10.1016/j.chaos.2006.08.044
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