3 ms·
The Simple Geometry Behind Brownie Bake Offs and Equal Areas
- rozab 4y agoThe gif in the linked article about circle decomposition is nuts: https://www.quantamagazine.org/an-ancient-geometry-problem-falls-to-new-mathematical-techniques-20220208/ https://www.quantamagazine.org/an-ancient-geometry-problem-f... And the authors reckon it could be done with 22 pieces!
- unholiness 4y agoYeah, talk about burying the lede! I had no idea so much progress had been made on this problem.
- gus_massa 4y agoNote that the OP is about cuts that are nice, cutting polygons into smaller polygons, that could be done using a scissor. The article you linked is about using magical cuts that be non measurable, that look like magical interlocking 2D sponges. They are somewhat like the figures in the gif, but they actually more weird. It's somewhat similar to the Banach–Tarski Paradox. If you like that, I recommend to watch the video by Vsause https://www.youtube.com/watch?v=s86-Z-CbaHA https://www.youtube.com/watch?v=s86-Z-CbaHA that explains the Banach–Tarski Paradox with some technical details, but not too many.
- snarkconjecture 4y agoThey got the article from the OP article -- it goes on a diversion into the circle-squaring thing at the end.