# How to get Lissajous curve like the following gif [duplicate]

parameter equation $$x= \sin(m t)$$, $$y= \sin (nt)$$,(fix $$m=13$$, $$n=18$$ not to change)

I need the picture show the generation of the curve.(start from one point to the final curve like you draw it manually )

In fact,I just want to know how to generate a curve continuously like the gif show

• Where are you stuck? Manipulate and ParametricPlot seem to be an obvious way to go, or? – Kuba Dec 20 '18 at 12:22
• Searching for Mathematica Lissajous reveals this Q&A which may be a duplicate. – bobthechemist Dec 20 '18 at 12:24
• i want to form the curve from one point to the final picture like the gif show @ bobthechemist – Number_9527 Dec 20 '18 at 12:32
• @kuba has mentioned the necessary function for making the animation, and coding this in Mathematica is straightforward. As I've asked in my last comment, what have you tried? – xzczd Dec 20 '18 at 12:57
• I'm asking you to show how you tried them, so we can give you pointed advice. – xzczd Dec 20 '18 at 13:16

## 1 Answer

Animate[
ParametricPlot[{Sin[13 t], Sin[18 t]}, {t, 0, tf}],
{tf, 0, 10}]