Lissajous

Lissajous curves

Set different speeds of the rotating points on the two circles to get
various shapes of the Lissajous curves. They are closed periodic, when the ratio of the
speeds is a rational number. Otherwise they are dense in the square.

1) Click on the red curve to erase it.
2) Open the "MotionList" of the motor to set the speeds
3) Trace new curves (press F2 while the system moves).

For an alternative definition, run the script:
EucliDraw\EUC_Scripts\EUC_Curves\Lissajous

http://users.math.uoc.gr/~pamfilos/