“Generating, analysing, and organizing movement using the mathematical concepts of vectors” in The Dynamic Body in Space

Excerpt:

Dance can be seen as simple combinations of directed energy. This applies to motion as well as apparent stillness. Directed energy could be a pathway or line of direction with a length or magnitude, a vector. A vector is a mathematical concept, usually represented by a line with an arrow at one end. In its simplest geometric sense, a vector has only direction and magnitude (length).

Vectors allow the possibility to strip dance down to its essential properties in similar ways to Laban's development of Space Harmony and more. "One of the things that gives mathematics its power is the shedding of attributes that turn out to be nonessential. .. " (Hoffmann 1966 p. 10) In developing this research integrating mathematics, kinesiology, physics and dance, there are implications for pedagogic practice as well as analysis and choreographic invention.

Preston-Dunlop, Valerie, and Lesley-Anne Sayers, eds. The Dynamic Body in Space: Exploring and Developing Rudolf Laban's Ideas for the 21st Century. Alton, Hampshire: Dance Books, 2010.