Roller Coaster design This post continues from the previous post on Lissajous Curves.  Make sure to read that one first! We can design a rollercoaster track by using the following Lissajous Curve: This gives the following graph: Ground level is given by the line y = −50. Distances are in metres and t is measured... Continue Reading →

Lissajous Curves Lissajous Curves were explored by French Physicist Jules Lissajous in the 1850s.  The picture above (Wikimedia Commons) shows him investigating Lissajous curves through a telescope. Lissajous curves include those which can be written in the form: This parametric form allows us to represent complicated curves which are difficult to write in terms of... Continue Reading →