Thinking Outside the Plane: metafilter.com/183649/Thinking

Interesting roundup of 3d solutions to 2d problems, starting with Tarski's plank problem: Can you cover a diameter-$$n$$ disk with fewer than $$n$$ unit-width strips?

Sadly, they missed the 3d proof of Desargues' theorem: en.wikipedia.org/wiki/Desargue

There's also a 2d-3d connection with Miquel's six-circle theorem but I think it goes the other way: 11011110.github.io/blog/2006/0

The social network of the future: No ads, no corporate surveillance, ethical design, and decentralization! Own your data with Mastodon!