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#aperiodic — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #aperiodic, aggregated by home.social.

  1. July 2024. A terrace in Istria. Tiles half-laid, some already fixed, a template that doesn't match the floor, an unanswered voice call from Brussels. 480 limestone pieces, CNC-cut from a shape proven mathematically a few months before. One constraint: no tile can be flipped.

    Three months, a long hot summer to find out if the pattern held.

    https://anarchive.fo.am/silver/spectres/

    #aperiodic #tiling #spectre #anarchive #aperiodicmonotile #mathematics #appliedmathematics #reimaginingtechnology #patterns
  2. July 2024. A terrace in Istria. Tiles half-laid, some already fixed, a template that doesn't match the floor, an unanswered voice call from Brussels. 480 limestone pieces, CNC-cut from a shape proven mathematically a few months before. One constraint: no tile can be flipped.

    Three months, a long hot summer to find out if the pattern held.

    https://anarchive.fo.am/silver/spectres/

    #aperiodic #tiling #spectre #anarchive #aperiodicmonotile #mathematics #appliedmathematics #reimaginingtechnology #patterns
  3. So I tried implementing ðe Weierstrass-Mandelbrot function coz I mean it's called ðe Weierstrass-Mandelbrot function I had to check it out 𓅱
    apparently it's a lot like my weierstrass-derived aperiodic "tiling" posts but in ðe uncanny valley towards ðe terrain direction in abstract concept space 🤔🤔🤔

    #liminal #TilingTuesday #gonewrong #noise #aperiodic #creativecoding #mathart #procgen #abstract

  4. So I tried implementing ðe Weierstrass-Mandelbrot function coz I mean it's called ðe Weierstrass-Mandelbrot function I had to check it out 𓅱
    apparently it's a lot like my weierstrass-derived aperiodic "tiling" posts but in ðe uncanny valley towards ðe terrain direction in abstract concept space 🤔🤔🤔

    #liminal #TilingTuesday #gonewrong #noise #aperiodic #creativecoding #mathart #procgen #abstract

  5. Donation Drive!

    You could get this amazing Aperiodic Turtle Blanket by @3geek14 (Pi)

    $6.85/multiples thereof for the next 21 minutes!

    desertbus.org/donate

    #DB2025 #aperiodic #knit

  6. Donation Drive!

    You could get this amazing Aperiodic Turtle Blanket by @3geek14 (Pi)

    $6.85/multiples thereof for the next 21 minutes!

    desertbus.org/donate

    #DB2025 #aperiodic #knit

  7. random someone with when sentence makes word order a descriptivists 😳

    has weierstrass :dodecahedron::icosahedron: also 3d function when what when symmetry happens ur here's 𓅱𓅱𓅱

    #TilingTuesday #animation #honeycomb #3d #aperiodic #tiling #mathart #abstract

  8. Both approaches reveal how sensing and shaping are the same process. When you slow down to notice the patterns you're already making, you discover you're already participating in systems others can enter and transform.

    #pattern #technology #weaving #coding #livecoding #aperiodic #tidalcycles #participatory #process #immersive #interbeing #perception #sensornetworks #XR #responsivesystems #emergence
  9. have you considered taking out a loan & moving to central Greenland to become a copper prospector but only working around 11 sets of parallel lines 5km apart?

    #hmm #fractal #aperiodic #tiling #animation #mathart #abstract #mastoart #cognitohazard

  10. 🔳🔲🔳🔲🔳🔲🔳🔲🔳
    🔲♠️♥️♦️♣️🌙⭐💧🔲
    🔳♥️♦️♣️🌙⭐💧♠️🔳
    🔲♦️♣️🌙⭐💧♠️♥️🔲
    🔳♣️🌙⭐💧♠️♥️♦️🔳
    🔲🌙⭐💧♠️♥️♦️♣️🔲
    🔳⭐💧♠️♥️♦️♣️🌙🔳
    🔲💧♠️♥️♦️♣️🌙⭐🔲
    🔳🔲🔳🔲🔳🔲🔳🔲🔳

    #TilingTuesday #animation #aperiodic #tiling #mathart #abstract #mastoart

  11. David Smith’s original card prototypes used in the search for aperiodic monotiles, MathsCity, Leeds, England (mathscity.co.uk)
    #TilingTuesday #Tiling #Pattern #Geometry #MathArt #Aperiodic

  12. When it comes to debugging, I have a bad habit of sometimes guessing parameters when I think that all that prevents me getting the output I expect is something simple, like an incorrect sign. Invariably I end up wasting far too much time making increasingly complicated guesses, when a few minutes thought and some pen and paper would have revealed the bug. I don't recommend this habit to anyone, but in one instance it led me to discover a series of tilings that I probably wouldn't have found otherwise.

    Take a tiling of turtle tiles (a version of the chiral aperiodic monotile), throw away the tiles with less frequent handedness, and flip the other tiles about the axis shown in the first image. This doesn't produce a new tiling, since there will be overlaps. However, the tiles can be grouped in roughly triangular clusters of 1, 3 or 6 tiles, all with the same orientation modulo \(120^\circ\), and the tiles in each cluster don't overlap after flipping. In addition, the clusters of flipped tiles can be translated in a consistent manner to avoid overlaps, leaving a partial tiling whose gaps all have the same shape - the 'rooster'.

    (1/n)
    #tilingTuesday #aperiodic #monotile #tiling

  13. I have a question about the aperiodic spectre tile (or the hat/turtle).

    I know that the proof of aperiodicity works by showing that the tiles must fit together in a hierarchical structure that eventually repeats itself at a larger scale. But the larger units aren't literally scaled copies of the spectre. I also know that there is some freedom as to how you draw the edges of the spectre.

    Is there a way you can draw the edges that allows you to literally use spectres to cover a larger copy of themselves? If so, is this way of doing it unique?

    #Math #Maths #Mathematics #Spectre #Tiling #Aperiodic #AperiodicMonotile

  14. Whoa... #aperiodic tiling and quantum computing error correction?

    Never-Repeating Patterns of Tiles Can Safeguard Quantum Information | WIRED
    wired.com/story/never-repeatin

  15. Today I acquired an #aperiodic #monotile known as the 'hat', rendered in foam. The squiggles on it are signatures of David Smith, the 'hobbyist' #mathematician who discovered the shape, and Chaim Goodman-Strauss, who worked with Smith on the proof confirming that it is definitely an aperiodic monotile (the first one to be discovered!)

  16. This is a repost of a twitter thread where I explain the concept of drainage for tilings of the Hat #aperiodic #monotile. Might change a few bits, but this will mostly just be a copy job.

  17. Oi, maths people (‘cos I’m not one):

    Can there be such a thing as a Voronoi aperiodic monotile?

    #maths #voronoi #aperiodic #monotile

  18. I guess that #aperiodic #monotile tiled floors could be annoying to #OCD people. Sometimes I find myself avoiding the gaps between tiles, but not compulsively or obsessively.
    #NumberPhile

    youtu.be/ArADlJx7SlU?list=TLPQ

  19. Was your imagination caught by the amazing recent #discovery of a monotile that tiled a plane aperiodically? The previously known minimal case of #aperiodic #tiling was discovered by Roger Penrose. It required two tiles, explained with flair here in Derek Muller’s #video #mathematics #mathematicseducation #puzzles youtu.be/48sCx-wBs34

  20. Both approaches reveal how sensing and shaping are the same process. When you slow down to notice the patterns you're already making, you discover you're already participating in systems others can enter and transform.

    #pattern #technology #weaving #coding #livecoding #aperiodic #tidalcycles #participatory #process #immersive #interbeing #perception #sensornetworks #XR #responsivesystems #emergence
  21. Both approaches reveal how sensing and shaping are the same process. When you slow down to notice the patterns you're already making, you discover you're already participating in systems others can enter and transform.

    #pattern #technology #weaving #coding #livecoding #aperiodic #tidalcycles #participatory #process #immersive #interbeing #perception #sensornetworks #XR #responsivesystems #emergence
  22. Both approaches reveal how sensing and shaping are the same process. When you slow down to notice the patterns you're already making, you discover you're already participating in systems others can enter and transform.

    #pattern #technology #weaving #coding #livecoding #aperiodic #tidalcycles #participatory #process #immersive #interbeing #perception #sensornetworks #XR #responsivesystems #emergence