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LISSAJOUSCURVE (Type,Div,Settings)

  • is the Type of the curve.


  • This function shows the Lissajous curve for each values.
  • Lissajous Curve is a parametric plot of the harmonic system.
  • It is also called Bowditch Curves.Lissajous used sounds of different frequencies to vibrate a mirror.
  • A beam of light reflected from the mirror, was allowed to trace patterns which depended on the frequencies of the sounds – in a setup similar to projectors used in today's laser light shows.
  • Lissajous figure is the intersection of two sinusoidal curves, the axes of which are at right angles to each other.
  • Mathematically, this translates to a Complex harmonic function:


  • The appearance of a figure is highly sensitive to a/b, the ratio of a and b.
  • According to the ratio value, the shapes of the figures change in interesting ways.
  • For a a/b ratio=1, the figure is an ellipse.
  • For a=b, = radians, the figure is a circle.
  • For = 0, the figure is a line.
  • For a/b = 2, = , the result is a parabola.
  • The Lissajous curve gets more complicated for other ratios, which are closed only if a/b is rational.


  1. LISSAJOUSCURVE("ellipse")
Lissajous Curve.png

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