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LISSAJOUS (TypeOrSettings,AsTable)

  • is any type like Ellipse or circle and so on.


  • This function shows the values of the Lissajous curve.
  • 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: In the Lissajous equation,a=1,b=1,A=1,B=1 and = radians, the figure is a circle.
  • So these values substitute in the equation and it will shows the result.With the above values when =0,then the value will show for line.
  • In the same way the ratio =1 and =0,then the values will be shown for ellipse.
  • Suppose = 2, = , then the values will show for parabola.
  • The Lissajous curve gets more complicated for other ratios, which are closed only if a/b is rational.


  1. LISSAJOUS("circle",4..6)
4.999998731727338 1
4.98033339924072 1.3993336665873126
4.9208978911521815 1.7946773231802449
4.822286067411776 2.1820808266453584
4.685483224765582 2.5576733692346023
4.511856251996312 2.917702154416812
4.303139972422432 3.2585698935801415
4.061419810117014 3.576870748950764
3.789110953039751 3.8694243635980907
3.48893422127722 4.133307638509933
3.163888881507954 4.365883939231585
2.817222679321226 4.564829440245742
2.4523993888166733 4.728156343868905
2.073064203718472 4.854232741668772

and so on.

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