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*               Lissajou Figures           *
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An easy method to produce Lissajou figures, is to use parametric equations:
For example: x=sin(a*t); y=cos(b*t); t=0..2*pi
Using a=b, result will be a circle, drawn a-times. But a lot of other figures can
be produced. I dont know much about theory of such Lissajou figures, but it
is interessting, how the complexity suddenly changes depending on the relation
of a and b . ( It cant be an a/b relation, can it ? I dont think so )
I have some idea, that the relation is similiar to an integral I ll discuss later.
The following applet is just for playing around.

CONTROLLING THE JAVA APPLET:
a controles the sin frequency,
b controles the cos frequency
( press the inc or dec button to change the value or type it into the input field )
You can choose the numbers of samples (max 3500)
Press " LINE " to connect following points, press it again to disconnect.

Ok lets start the Java applet