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#tilingTuesday a walkway in Tokyo

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#tilingTuesday a walkway in Tokyo

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  • pierostrada@sociale.networkundefined

    Perché (e come) disobbedire alle macchine

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    pierostrada@sociale.networkundefined
    Perché (e come) disobbedire alle macchinehttps://www.globalist.it/culture/2025/12/04/perche-e-come-disobbedire-alle-macchine/> È  “Antimacchine. Mancare di rispetto alla tecnologia” l’ultimo saggio pubblicato da Valentina Tanni, storica dell’arte e docente, edito da Einaudi (2025).
  • maudel@mastodon.unoundefined

    https://www.facebook.com/share/v/17pvLibbBP/

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    maudel@mastodon.unoundefined
    https://www.facebook.com/share/v/17pvLibbBP/
  • phastidio@mastodon.onlineundefined

    Non si è più ripresa 🤣

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    phastidio@mastodon.onlineundefined
    Non si è più ripresa 🤣From prime minister to shock jock: Liz Truss gets her own YouTube show https://www.politico.eu/article/from-prime-minister-to-shock-jock-liz-truss-gets-her-own-youtube-show/
  • simontatham@hachyderm.ioundefined

    I wonder how many times it's possible to be wrong in sequence about the same thing.

    Uncategorized tilingtuesday oops
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    simontatham@hachyderm.ioundefined
    I wonder how many times it's possible to be wrong in sequence about the same thing.In my last blog post about tilings and finite-state transducers, I mentioned making a mistake about the Ammann-Beenker tiling. I had a description of it in my software, and I had believed it didn't admit a deterministic transducer, because my code reported failure when trying to construct one. But I later found out that it did: my construction algorithm had an overzealous failure detector, and had given up too soon.But it turns out I was right the first time, if for the wrong reasons. It _doesn't_ admit a transducer after all, because I _also_ got the tiling description slightly wrong!The Ammann-Beenker rhombus tile is 180° symmetric, but its orientation matters nonetheless (it forms part of the proof of aperiodicity). My description of the tiling had the rhombuses wrongly oriented, in a way that – as it turns out – made the system accidentally simpler.The first picture here is the Ammann-Beenker analogue of the Penrose 'cartwheel pattern': a singular instance of the tiling, having the symmetry group of a regular octagon _except_ for the dark-coloured tiles, of which the blue ones vary their shape under rotation by some multiple of 45°, and the red ones keep the same shape but change orientation.The second picture is the same pattern, but generated using my earlier wrong description of the tiling. Because I got some of the rhombus orientations wrong, the red tiles are in much weirder places. _That_ diagram has been puzzling me for a week, until I figured out last night what mistake had caused it!Oh well, at least I got some pretty pictures out of it.#TilingTuesday #oops