Dancing with Fourier Transform

[dibs: Swing dance and fourier transform]

Lindy Hop dance is a kind of a swing dance that originated in 1930s. Some people believed that Lindy hop is physics. And that it can be observed in the flow of energy in the dance, the changes in the linear and angular momentum, as well as the friction made with the floor. They say that:

“Lindy is 50% Newtonian physics, 30% musicality and 20% magic.”

Lindy Hop’s basic movements are pulse and bounce. In the video, fourier transform is used to analyze if you are pulsing enough during the dance. By measuring the acceleration and taking its fourier transform, one can now see if you are dancing with the beat!

The top graph in the video shows the magnitude of acceleration as function of time in seconds.
The middle graph shows the fourier transform of the last 8 seconds of acceleration in the graph above it.
The bottom graph shows the transform of all the data up to that point in time.

The frequency plot is measured in beats per minute and has a peak at 161 bpm, which is the tempo of the song! 🙂