An investigation on Lissajous curves written in parametric form.

Lissajous Curves were investigated by French Physicist Jules Lissajous in the 1850s. They include curves which can be written in the parametric form. The logo of the Australian Broadcasting Corporation (ABC) takes the form of a Lissajous figure. Use your TI Nspire CAS CX II to investigate various shapes of the Lissajous curves using slides. Describe how the parameters change the shape of curves. Later, apply Vector Calculus to solve the kinematics problem.

Challenge: Use a graphical method to construct the logo of the ABC.