Chip Unicorn on Nostr: That's exactly what I'm interested in. My *intuition* says: If k = 100, then the best ...

That's exactly what I'm interested in. My *intuition* says:

If k = 100, then the best track would bisect the square.
If k = 200, then the best track would divide the square into quarters.
If k = 400, then the best track would divide the square into nine equal squares.
If k = 600, then the best track would divide the square into sixteen equal squares.

But I don't *know* that. And my intuition has multiple ideas for when k % 100 ≠ 0.