[HN Gopher] The Simple Geometry Behind Brownie Bake Offs and Equ...
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       The Simple Geometry Behind Brownie Bake Offs and Equal Areas
        
       Author : theafh
       Score  : 36 points
       Date   : 2022-11-21 15:33 UTC (7 hours ago)
        
 (HTM) web link (www.quantamagazine.org)
 (TXT) w3m dump (www.quantamagazine.org)
        
       | rozab wrote:
       | The gif in the linked article about circle decomposition is nuts:
       | 
       | https://www.quantamagazine.org/an-ancient-geometry-problem-f...
       | 
       | And the authors reckon it could be done with 22 pieces!
        
         | unholiness wrote:
         | Yeah, talk about burying the lede! I had no idea so much
         | progress had been made on this problem.
        
         | gus_massa wrote:
         | Note 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 that
         | explains the Banach-Tarski Paradox with some technical details,
         | but not too many.
        
           | snarkconjecture wrote:
           | They got the article from the OP article -- it goes on a
           | diversion into the circle-squaring thing at the end.
        
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