Lissajous Curves

This post illustrates and explains the beautiful Lissajous Curves – trajectories of points whose coordinates follow sinusoidal movements.  A simple but timeless classic curve that has numerous applications as well as artistic elegance.

Continue reading “Lissajous Curves”

Multiple Pendulums

This fun post illustrates the phenomenon of multiple uncoupled pendulums whose periods are all rational multiples of each other.

Figure 1. Multiple uncoupled pendulums. All periods are rationally related. This entire motion has a period of precisely 60 seconds.

 

Continue reading “Multiple Pendulums”