Skip to content

Piero Bosio Social Web Site Personale Logo Fediverso

Social Forum federato con il resto del mondo. Non contano le istanze, contano le persone

Lately that counter is increasing more and more.

Uncategorized
2 1 0

Gli ultimi otto messaggi ricevuti dalla Federazione
Post suggeriti
  • 0 Votes
    1 Posts
    0 Views
    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
  • 0 Votes
    1 Posts
    0 Views
    @yamanoku@hollo.yamanoku.net 来年は必ず参加したいですね!ありがとうございます!
  • 0 Votes
    1 Posts
    0 Views
    Powerful new antibiotic that can kill superbugs discovered in soil bacteriahttps://www.nature.com/articles/d41586-025-03595-3?linkId=17565475> Surprise discovery could pave the way for new treatments against drug-resistant infections.
  • 📣 Opinions are welcome 📣

    Uncategorized
    50
    0 Votes
    50 Posts
    17 Views
    @Gina excellent choice! Forgejo is excellent 😻