Re:‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture
by evolve2k on Friday December 16, 2022 @05:26PM
(#34021436)
We’ll this article is maybe a good case in point. Surely as they were talking of tiled geometry there could have been space for a few visual examples, even if they hit a practical limit and said ‘It’s theoretical from here but this gives the idea’.
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Re:‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture
by klyrs on Saturday December 17, 2022 @01:30AM
(#34025397)
I was too. I mean, they show the aperiodic Penrose tiles, which is nice because that's approachable. But the punchline of the story quashes the hope of a nice illustration of the result: the proof works in 2^(100^100)-dimensional space. We always joke that one must only visualize n-space and set n to 2^(100^100)... but that isn't much of a help. It really is a nasty geometry.