4 ms·
Lissajous curves have some interesting mathematical properties [1] as well some practical applications in the physical world (as many other mathematical concept
by vram22 4y ago
Lissajous curves have some interesting mathematical properties [1] as well some practical applications in the physical world (as many other mathematical concepts do). I just looked at the Wikipedia article about them again, after some time, and found it cool.
https://en.m.wikipedia.org/wiki/Lissajous_curve https://en.m.wikipedia.org/wiki/Lissajous_curve
I had done a good amount of elementary 2D graphics programming earlier, on various models of computers and in a few different programming languages, as a hobby, not for work. As part of that tinkering, while plotting various combinations of trigonometric expressions, one of my programs generated what looked like a Lissajous figure, which I recognized from high school math. Fun.
[1] The article says that circles, ellipses, parabolas and lines are special cases of Lissajous figures, based on the values of the parameters in the equations.
Oscilloscopes can be made to generate Lissajous figures based on the inputs you give them.