# Manuals/calci/LISSAJOUS

LISSAJOUS (TypeOrSettings,AsTable)

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

## Description

• 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.

## Examples

1. LISSAJOUS("circle",4..6)
 5 1 4.98033 1.39933 4.9209 1.79468 4.82229 2.18208 4.68548 2.55767 4.51186 2.9177 4.30314 3.25857 4.06142 3.57687 3.78911 3.86942 3.48893 4.13331 3.16389 4.36588 2.81722 4.56483 2.4524 4.72816 2.07306 4.85423

and so on.

Lissajous