On: Experiments with plane-filling curves and Fourier ...

[yarg]

I've messed about with that sort of thing before: https://www.youtube.com/watch?v=pe4UAmb2wJw.

I never got that far - I was primarily considering it as a point location definition for an image format, and I wanted a symmetrical curve.

You can actually do that, if you relax the constraint that no grid point is shared (it's not really that big a problem, you just need to base the transform on the location between pixels, and not the centres of the pixels).

[EntrePrescott → yarg]

interesting. Here's another video where one sees how the precision of this Moore curve drawn with epicycles varies with the frequency range:

https://old.reddit.com/r/woahdude/comments/6udj3e/moore_curv...

[yarg → EntrePrescott]

He's using a different sample set than I did, I only used the centre pixel points, but (I believe) he has also included points in between.

Hence his version retains the blockiness of the Moore curve, whereas mine does not.