An aperiodic monotile · HackerPapers discussions

An aperiodic monotile — mentioned by benreesman

Wed, 20 Mar 2024 08:39:40 GMT

We've arrived at a point in the conversation where your assertions are (for the most part) correct in at least a narrow way. But there were several epistemological sleights of hand involved in getting from point A to point B that you as an eminent philosopher can trivially identify at least as easily as I can, at least in hindsight. First, you've elided the unambiguous context of the OP's essay and my response to it: I said it's dangerous for people who miss getting into and through an elite university education without burdensome and difficult-to-discharge debt to go for broke anyways: the…

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An aperiodic monotile — mentioned by codeAligned

Wed, 21 Feb 2024 23:05:25 GMT

- Paper site: https://cs.uwaterloo.ca/~csk/hat/ - Paper: https://arxiv.org/abs/2303.10798 - news: https://phys.org/news/2023-06-uk-hobbyist-stuns-math-world.h..., https://www.discovermagazine.com/the-sciences/at-long-last-h...

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An aperiodic monotile — mentioned by l0b0

Tue, 12 Dec 2023 00:31:10 GMT

No, I mean mathematically. I had a skim through the original paper[1], but unfortunately it's not easy to figure out what the coordinates are. If any of them are related as a factor of an irrational number, I don't think it's possible. [1] https://arxiv.org/abs/2303.10798

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An aperiodic monotile — mentioned by bazzargh

Thu, 09 Nov 2023 12:14:17 GMT

The original monotile paper https://arxiv.org/abs/2303.10798 mentions that (at the time that was written) the minimum number of sides had to be 5 <= n <= 13, but also that a smaller tile can't be a polykite like the hat; exhaustive search had shown that there were no other aperiodic monotiles (than the hat and turtle) with < 21 kites But a correction: the basic shape of the spectre is 14 sides with 2 of them colinear. It's only truly aperiodic when you modify the 14 edges, making it clear it is 'really' 14 sided not 13.

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An aperiodic monotile — mentioned by novaRom

Fri, 20 Oct 2023 17:34:58 GMT

That's awesome, here is original paper: https://arxiv.org/abs/2303.10798

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An aperiodic monotile — mentioned by throw_away_8080

Wed, 29 Mar 2023 02:55:05 GMT

Original paper: https://arxiv.org/abs/2303.10798

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An aperiodic monotile — mentioned by johndough

Thu, 23 Mar 2023 13:11:34 GMT

Project website with web demo https://cs.uwaterloo.ca/~csk/hat/ Direct link to PDF on ArXiv (89 pages) https://arxiv.org/pdf/2303.10798.pdf

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An aperiodic monotile — HN submission

Tue, 21 Mar 2023 04:11:05 GMT

An Aperiodic Monotile

104 points; 22 discussion replies on HN. Paper and source history. A submission is not an endorsement.