I made my first Lissajous figure with the informations i read on internet and i have 2 questions.
First: Is it correct??? x=sin(omega*t), y=sin(omega*2t)
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Second:How to make Lissajous figure for triangle waves? If sombody can explain me or give me somthing to read .

 

seem to be right... at t=0, both x and y are zero, at omega*t=45deg you get x=0.707, y=1 etc. since y is twice the frequency of x, you get two lobes.


you do the same for any function - plot number of points then connect them with line.

 

I know, this is a graphic solution, not the mathematical one you probably are looking for. Work on graph paper.

a) Graduate the X & Y axis of a graph with the same values for the function of interest. Plot the curve.

b) Later, progressively offset the values in one of the axis, plotting the curve every time.

c) Later, change the period of one of them, say half of the previous, and check the results.

The first tests do them by hand. Helps to remember things.

Later you could resort to Excel.

Eventually, you could look at what I did, but try the above first. You will succeed.