Dancing the Quaternions

Year: 2020 Authors: Karl Schaffer

Core claim

Dance gestures such as port de bras, candle dance, baton twirling, and paper tricks naturally exhibit quaternionic double rotations that help explain both movement and three-dimensional rotation.

Topics

dance movement, quaternion rotations, double cover SU(2)→SO(3), embodied mathematics

Domains

quaternions, rotation groups, Euler’s rotation theorem, SU(2) and SO(3), dance, choreography, performing arts, movement analysis

Methods

movement examples, arm-position sequences, paper prop exercise, theoretical explanation

Media

arms, sheet of paper, dance props, video clips

Source status

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