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Post AxdsSlCx7bHQg2HiKW by [email protected] |
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More posts by [email protected] |
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Post #Axcb8CoVOdlrpnVEYK by [email protected] |
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You can cut a hole in a cube that's big enough to slide an identical cube t… |
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Post #AxcblxaZQAHgCOwPYm by [email protected] |
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This week Steininger and Yurkevich found this convex polyhedron that you *can&#… |
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Post #AxccGL2Ko6L3bnPflI by [email protected] |
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@johncarlosbaez it's cool and all, but it's one of these situations whe… |
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Post #AxcdwxKgugtEUxsurA by [email protected] |
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Why is this property called Rupert's property? My blog article explains:ht… |
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Post #AxcdysuyIZcPNwm4Qa by [email protected] |
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@johncarlosbaez Are we just talking about straight holes? Or can it be some sor… |
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Post #AxcdzzzdTjLdcOUGmG by [email protected] |
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@johncarlosbaez This is cool, but I’m surprised they had to construct a new p… |
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Post #Axce32pvMasdJ0OgNc by [email protected] |
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@rasmus91 @johncarlosbaez The answer is twofold. First, why should it be useful… |
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Post #Axce32x0wEYFeziLQm by [email protected] |
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@rasmus91- when you listen to music, do you think "and this is useful how?… |
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Post #AxceTVdau74S9yFVUO by [email protected] |
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@johncarlosbaez @rasmus91 This is useful actually, it helps relaxing or feeling… |
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Post #Axcf6vDBko8Alogvdw by [email protected] |
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@gregeganSF - interesting! I guess the proof was easier for the noperthedron. … |
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Post #AxcfBLiBAbj67HIXzM by [email protected] |
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@semiprime - straight holes. Just for fun, I conjecture that curved holes don&… |
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Post #AxcfW6v7MJmyK6FYKu by [email protected] |
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@johncarlosbaez I wanted to celebrate by posting animations of the cube and oct… |
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Post #Axcfu3xc0z945rq0tU by [email protected] |
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@gregeganSF - wow, great! Mind if I include them in my blog article about this… |
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Post #Axcg0YZn6CXumgnBDM by [email protected] |
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@johncarlosbaez I can't wait for the @standupmaths vid on the subject. |
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Post #Axcg4VW2Q67QRzv8sa by [email protected] |
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@1HommeAzerty - all decent scientific or mathematical discoveries are emotional… |
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Post #AxcgDR72A1ILOsTzou by [email protected] |
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@johncarlosbaez Is it possible to say what property causes this non-rupertdom? |
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Post #AxcgDRChovpdgT8Wf2 by [email protected] |
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@androcat - yes, that's what the paper says:https://arxiv.org/pdf/2508.1847… |
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Post #Axcgw4rpiLphRIewQC by [email protected] |
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@johncarlosbaez You’re welcome to use those GIFs on your blog.On the tetrahed… |
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Post #AxciL1maQ5sF4AfNCa by [email protected] |
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@johncarlosbaez Ah ah ah, when asked what I do for my research I often answer &… |
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Post #AxciZLI8gP9XctFb1s by [email protected] |
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@johncarlosbaez @gregeganSF I guess to prove that something isn't Rupert yo… |
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Post #AxcjNmjuuENhEZIQxk by [email protected] |
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@johncarlosbaez @gregeganSF I don't think your conjecture can be true, beca… |
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Post #AxcrfxonFnE4RJkxyi by [email protected] |
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@johncarlosbaez https://github.com/mo271/models/commit/85495b9329be3455a5e3c1b3… |
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Post #AxctZTgYZdqp9fwGgq by [email protected] |
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@rasmus91 @johncarlosbaez Base science does not need to be useful, it just grow… |
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Post #AxctZTmaDEfhSMl55E by [email protected] |
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@doragasu @johncarlosbaez i am not disputing that at allI do engineering and ev… |
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Post #AxctZTu1lYctpSF1ge by [email protected] |
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@rasmus91 as you probably already know from engineering, you sometimes can'… |
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Post #AxctZU2BHF9GEk3XOa by [email protected] |
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@rasmus91 @doragasu - indeed, math should not be limited to what is considered … |
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Post #AxcuB5zJ84U2f8eAgC by [email protected] |
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@Sbectol - I was agreeing with you; my comment was addressed to Rasmus. I also… |
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Post #AxcvEo9RUFI2SKin5c by [email protected] |
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@gregeganSF @johncarlosbaez David Renshaw @david also recently created an anima… |
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Post #AxcvEoIIxINYtorru4 by [email protected] |
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@noamzoam @gregeganSF @david - cool! Do some of these polyhedra need to rotate… |
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Post #AxcvVamkR0gFvP6rk8 by [email protected] |
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@rasmus91 @johncarlosbaezIt's not just a result on its own. It's also a… |
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Post #AxcvVat83HmiFC5xgm by [email protected] |
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@Zamfr @rasmus91 - if mathematicians didn't love puzzles "too much&quo… |
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Post #AxcwY0iF6mF2s1ifE8 by [email protected] |
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@johncarlosbaez @Zamfr i love that phrasing. |
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Post #AxcwderDHLNgpCblnk by [email protected] |
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@johncarlosbaez @noamzoam @gregeganSF In the video, the apparent spin of the po… |
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Post #AxcwkzNrMNFoVvNFia by [email protected] |
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@johncarlosbaez @noamzoam @david There’s never any change in the relative ori… |
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Post #AxcySWYO0kPVnJcY1Q by [email protected] |
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@johncarlosbaez They could have called the underlying property Prince Rupert’… |
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Post #AxcyWUDedFzniFoSrQ by [email protected] |
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@johncarlosbaez By cutting a hole you mean that the remainder of the cube after… |
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Post #AxcyWUJgGqog0wdHFo by [email protected] |
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@majeriisli - it takes work to make this precise; you're not stating it wit… |
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Post #Axd0wAvTBd3dJTgUXg by [email protected] |
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I may want to find out if this is the same Prince Rupert as that after whom the… |
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Post #Axd1uZLTWaTkQKe7sG by [email protected] |
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@vnikolov - What are the tears of glass? Anyway, the property is named after … |
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Post #Axd2Ex3R5J5zkPvZFA by [email protected] |
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Some convex polyhedra just *barely* have Rupert's property. A great exampl… |
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Post #Axd2itMlMVMGzpFD2u by [email protected] |
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@1HommeAzerty @johncarlosbaez @rasmus91 It seems to me that a scientific discov… |
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Post #Axd2kOHJutGP9sPfyS by [email protected] |
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@gregeganSF - okay. I was fooled by how Renshaw's video rotates the polyhe… |
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Post #Axd3zznanYgrp9Vsi8 by [email protected] |
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Thank you!Yes, the same one.It's a long way down that Wikipedia pageto a pl… |
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Post #Axd4IL6iJSZT7iChs0 by [email protected] |
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@rasmus91 This is mathematics. You prove things in math, and other people find … |
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Post #Axd4ILD5vjfvRVBnoe by [email protected] |
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@mighty_orbot yeah, how, what was her name? Ada Lovelace? wrote programs 150 ye… |
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Post #Axd4INyJf8dW0XIXhI by [email protected] |
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@rasmus91 @johncarlosbaez You won't be saying that when you're locked i… |
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Post #Axd4IO4LIjSOJE7M5g by [email protected] |
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@ApostateEnglishman @johncarlosbaez 🤣 |
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Post #Axd4zyIyS6dr93kC1o by [email protected] |
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@johncarlosbaez Oh! The same Prince Rupert as the Prince Rupert drop: https://… |
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Post #Axd5dwuD4goMO8Dv6G by [email protected] |
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@penguin42 - he was the third founding member of the Royal Society! |
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Post #Axd5qVlzGS6O0DMqw4 by [email protected] |
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@johncarlosbaez @gregeganSF The paper does talk explicitly about why they craft… |
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Post #Axd93KEtl17brHgzHE by [email protected] |
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@johncarlosbaez "this is a square. you know where that goes? that's ri… |
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Post #Axd990OISxnA2MnSnQ by [email protected] |
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@johncarlosbaez @rasmus91 @doragasu My personal reframing -I hope this ends up … |
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Post #AxdCJEzrJgf85vwFPM by [email protected] |
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@robinhouston @johncarlosbaez @gregeganSF the snub cube is also a polyhedron fo… |
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Post #AxdCJF94lQ2EYWFbm4 by [email protected] |
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@robinhouston @johncarlosbaez @gregeganSF what I'm saying I think is just a… |
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Post #AxdCJFGsIQH0whtpvk by [email protected] |
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@jcreed @robinhouston @gregeganSF - by the way, I now doubt my conjectureEvery … |
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Post #AxdCX1hJYir2u0q0hs by [email protected] |
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@johncarlosbaez @robinhouston @gregeganSF makes sense! but you meant infimum, y… |
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Post #AxdDXWojxMFfNB79lY by [email protected] |
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@johncarlosbaez oh, it's a basket! |
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Post #AxdDXWvpWzvHjAQooi by [email protected] |
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@t54r4n1 - it's one case of a basket. A basket case. |
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Post #AxdMZkrtaN6v7Lj7yK by [email protected] |
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@johncarlosbaez great post, thanks! |
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Post #AxdNFowgogZbvS1mWe by [email protected] |
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@johncarlosbaez someone show @tom7 this |
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Post #AxdSYGfmxszEu6jpPk by [email protected] |
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@jcreed - yes, infimum. I'll fix it. (Each distance you're infimizin… |
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Post #AxdVE3yImKOha9SFqy by [email protected] |
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@johncarlosbaez I know of a small man who is a big asshole. He would easily fit… |
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Post #AxdsSlCx7bHQg2HiKW by [email protected] |
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@narain @gregeganSF - excellent! For those who don't get it, the cross-sec… |
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Post #AxdxfMWKig1je6B6sC by [email protected] |
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@johncarlosbaez Also, can't we just stare at the beauty of this result, and… |
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Post #AxebP7mDlUtZS5QCZM by [email protected] |
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@johncarlosbaez this will definitely be one of the first things I print with my… |
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Post #AxebP7tJL8ZBo4jrcW by [email protected] |
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@tarix29 - cool! |
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Post #AxedyrQMF0Br4JMaVk by [email protected] |
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@MartinEscardo - indeed, anyone whose mind turns too quickly to the usefulness … |
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Post #AxfeoUUOx2jK9bpkwa by [email protected] |
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@johncarlosbaez sometimes I see papers that talk about testing all the shapes, … |
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Post #Axg0EAerP7p5DNoQZU by [email protected] |
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@johncarlosbaez But wait! There's more!!Prince Rupert was the governor of t… |
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Post #Axg5SjAUOPGO4TMoVM by [email protected] |
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@johncarlosbaez this makes me so happy, thank you |
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Post #AxgNMKb4dKJVIntwa8 by [email protected] |
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@johncarlosbaez Someone printed one! https://mathstodon.xyz/@fractalkitty/11511… |
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Post #AxgiRI1jiJqLoiZuYy by [email protected] |
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@EdPeggJr - that's a very sad change for that company! |
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Post #AxgiyxEJXkxnA5VvPs by [email protected] |
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@raphael - I don't know any such way. Blaschke's selection theorem is … |
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Post #AxgoeacuTJPUzZgtzU by [email protected] |
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@oantolin - cool! |
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Post #AxhK7NgkkdGPqIhIPY by [email protected] |
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@rasmus91 @johncarlosbaez It's like sex without procreation.People do usefu… |
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Post #AxhK7NoYHdVCEULWZE by [email protected] |
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@maxpool @rasmus91 - I lay in bed with her, thinking "and this is useful h… |
