Lissajous Figures from Projections of Points on Circles

This Demonstration displays parametric Lissajous figures from the projected coordinate components of two circles. You can vary the frequencies of the points moving around the two circles and the phase shift and radius of the top circle.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Lissajous curves are formally defined as parametric curves in which the and components are sine functions. This family of curves is seen in physical waveforms such as electromagnetic waves and mechanical oscillations.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.