Lissajous Curve Table

Inspired by @juliomulero

What is it?

I first saw these curves in my twitter timeline. It is fastinating beautiful. After researching for a while, I found that it is the trajectories of a point in which the components on x-axis and y-axis are a sinusoidal movement. Shape is determined by the ration between the frequencies of the two components (the amplitudes and phase as well but they are ignored here).

And the table here is aesthetically representation of the trajectories in different frequency ratio.