Lissajous Curve Construction

This worksheet shows how to trace a Lissajous curve.
  • Point B' is the rotation of point B around the origin by angle α times the value of slider a.
  • Point B'1 is the rotation of point B around the origin by the angle α times the value of slider b.
  • The Lissajous curve is the locus of point D, which is the intersection of lines e and f.
  • Lines e and f are perpendicular to each other.
  • Move point C to trace the locus of point B.
  • Adjust sliders a and b to change the shape of the Lissajous curve.