2 ms·

That’s a great explanation, thank you! I feel like it should be possible to pinpoint why this can’t happen with a circle. Specifically, it seems to require som

by tobr 2y ago

That’s a great explanation, thank you! I feel like it should be possible to pinpoint why this can’t happen with a circle. Specifically, it seems to require some kind of protrusion in the shape, that ends up being more efficient to cover in a direction that creates an overlap. But it’s clearly not as straightforward as I thought.

jacobolus 2y ago
Any kind of "pinpointing" you can do is probably going to end up equivalent to the project-to-a-sphere method, except less clear or pretty.
- rowanG077 2y ago
  I'm not so sure about that. I don't think introducing an extra dimension is elegant. There are probably more elegant proofs.