Use the sliders above to change the shape of the Lissajous curve. Investigate how each slider affects the pattern created. Your mission is the find the settings that produce a perfectly symmetrical (vertically and horizontally) infinity symbol.

For those with a knowledge of trigonometry the parametric equations of the curve currently showing at the top of this page are:

The solutions are available when you are signed in. If you do not yet have an account you can apply for one here.

Many other puzzles are available on this website. There are also an ever increasing number of interactive exercises for students. You can find the collection at Transum Mathematics.