Lines filling in a Square #0 (Advanced)

Creator

Dan Anderson (@dandersod)

Difficulty

Advanced

On to the Challenge!

Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.
This was done with a parametric curve. To see a parametric curve being traced out like this, check out this demo sketch. If as desmos sketches out this curve, every point in the square will be covered by this curve. A 1d line will fill this 2d shape. Can you replicate this sketch?