There are lots of ways to fill a 2D space with a single non-crossing path. I’m sure counting the ways could be interesting to some. I guess you’d prefer a zig-zag oriented orthogonal to the sides, rather than the corners. This orientation fills the frame of a photo a little better though given the perspective. You could also make a spiral. I think the Hilbert space filling curve is way more interesting, but probably would make for a confusing photo.
I was thinking it would be interesting to see the functions for a given diagonal in OPs scheme, versus a row or column based approach. Then it occurred to me it might be easy to transform between these variants.
There are lots of ways to fill a 2D space with a single non-crossing path. I’m sure counting the ways could be interesting to some. I guess you’d prefer a zig-zag oriented orthogonal to the sides, rather than the corners. This orientation fills the frame of a photo a little better though given the perspective. You could also make a spiral. I think the Hilbert space filling curve is way more interesting, but probably would make for a confusing photo.
I was thinking it would be interesting to see the functions for a given diagonal in OPs scheme, versus a row or column based approach. Then it occurred to me it might be easy to transform between these variants.