Also known as Bowditch curves, these figures plot the trajectories of a point as it follows the path of two simultaneous sinusoidal motions.

Can be created using various physical systems including oscilloscopes, harmonographs, and more.

Equations:

Articles:

• Lissajous curve on Wikipedia
• Lissajous curve from MathCurve
• Lissajous Curves from DataGenetics

Videos:

• Coding Challenge #116: Lissajous Curve Table by Daniel Shiffman (Github repo with source code for p5.js and Processing)
• #48: Basics of Lissajous Patterns on an Oscilloscope by w2aew