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.
They are growing exponentially on the diagonal from the right downward and to the left.
I’m wondering why they chose that pattern instead of going straight across a row or column.
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.