Art meets Math. This app draws you a custom Lissajous Curve. By Jeff. The sprite will ask you for two frequencies a and b, and a phase delay, then draw the Lissajous Curve defined by {a,b,d}. Good choices include {1,5,180}, {3,4,90} and ... JBurnham20 makes a good suggestion: try Turbo Mode. Maybe this should be my entry for the ten-block challenge; although this app is 14 blocks long, only 6 blocks form the heart of the app: set a set b set the phase delay forever go to [do some math] change t If a/b is irrational, you can get some pretty crazy non-closed curves. At the moment I'm running a/b=sqrt(2) and the mesh-like curve, I conjecture, is space-filling.
I wanted a good Ten Block Challenge, and thought that I could efficiently generate complex images using parametric curves. A Lissajous generator seemed like a good place to start.