home.social

#sierpinski — Public Fediverse posts

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

fetched live
  1. I just stumbled into the fact that in Conway's Game of Life, if you start with a one cell line, you get a Sierpinski triangle.

    Apparently, one-cell-thick patterns are interesting: conwaylife.com/wiki/One-cell-t

    #gameoflife #golly #fractal #sierpinski

  2. #sierpinski #fractal patterns on an undeveloped #16mmfilm which is nonperforated microfilm

    no idea of film type or brand, I guess the film is bw, or was color ever used for microfilms?

  3. 🤔 Ah, the mystical world of 16-byte #x86 #assembly, where #coding #wizards conjure #Sierpinski #triangles from the ether and somehow turn them into music. 🎶 Because we all know what the world really needs is yet another way to remind us that coding is a #strange #cult where people speak in tongues of "int 10h" and worship at the altar of "mov ds, bx." 🙄
    hellmood.111mb.de//wake_up_16b #programming #humor #HackerNews #ngated

  4. @scruss The PICTURE command can group objects, and also output SVG animations. Although I’ve made a screen recording here as animated SVGs aren’t accepted

    TO CORNER :S
    RIGHT 45 FORWARD :S RIGHT 45
    END

    TO ONESIDE :S :DIAG :LEVEL
    IF :LEVEL = 0 [ STOP ]
    ONESIDE :S :DIAG :LEVEL - 1
    RIGHT 45 FORWARD :DIAG RIGHT 45
    ONESIDE :S :DIAG :LEVEL - 1
    LEFT 90 FORWARD :S LEFT 90
    ONESIDE :S :DIAG :LEVEL - 1
    RIGHT 45 FORWARD :DIAG RIGHT 45
    ONESIDE :S :DIAG :LEVEL - 1
    SLEEP 20
    END

    TO SIERP :S :LEVEL
    :DIAG = :S / 1.414
    REPEAT 4 [ ONESIDE :S :DIAG :LEVEL CORNER :DIAG ]
    END

    CLEARSCREEN
    HIDETURTLE
    PENUP HOME RIGHT 90 BACK 100 LEFT 90 BACK 100 PENDOWN
    ; PICTURE "≈" [
    ; SIERP 10 2
    ; ]

    PICTURE “Sierpinski004.svg” [

    repeat 1 [
    SIERP 10 4
    SLEEP 2000 ]

    #animation #SVG #loop #2d #CreativeCoding #pattern #Sierpinski #fractal #Logo #TurtleGraphics #geometry #CreativeCode #procedural #CreativeCodeArt #design #GraphicDesign

  5. @scruss Nice, this version has a few changes to fill the shapes with PENDOWN and PENUP to avoid draw extraneous lines.

    TO hx :size
    REPEAT 6 [
    tri :size FORWARD :size LEFT 60 CLOSE FILL
    ]
    END

    TO PT :size
    FORWARD :size
    RIGHT 150
    FORWARD :size
    LEFT 30
    END

    TO superhex :size
    REPEAT 6 [
    FILLCOLOR "gray" FILLTRANSPARENCY 50 hx :size PU PT :size FORWARD :size LEFT 60 PD
    ]
    END

    TO tri :size
    REPEAT 3 [
    PT :size
    ]
    END

    HOME CLEARSCREEN HIDETURTLE
    superhex 50

    #CreativeCoding #pattern #Sierpinski #fractal #Logo #TurtleGraphics #geometry #CreativeCode #procedural #CreativeCodeArt #design #tiling #GraphicDesign

  6. @scruss Thanks. Here’s the Sierpinski program adapted to run LibreOffice using the built-in LibreLogo environment help.libreoffice.org/latest/en

    One of LibreLogo’s advantages is that the output is vector graphics that can be edited (but rasterised here for convenience).

    TO CORNER :S
    RIGHT 45 FORWARD :S RIGHT 45
    END

    TO ONESIDE :S :DIAG :LEVEL
    IF :LEVEL = 0 [ STOP ]
    ONESIDE :S :DIAG :LEVEL - 1
    RIGHT 45 FORWARD :DIAG RIGHT 45
    ONESIDE :S :DIAG :LEVEL - 1
    LEFT 90 FORWARD :S LEFT 90
    ONESIDE :S :DIAG :LEVEL - 1
    RIGHT 45 FORWARD :DIAG RIGHT 45
    ONESIDE :S :DIAG :LEVEL - 1
    END

    TO SIERP :S :LEVEL
    :DIAG = :S / 1.414
    REPEAT 4 [ ONESIDE :S :DIAG :LEVEL CORNER :DIAG ]
    END

    CS
    HT
    PU HOME RT 90 BK 100 LT 90 BK 100 PD
    SIERP 10 4
    FILL

    #CreativeCoding #pattern #Sierpinski #fractal #Logo #TurtleGraphics #LibreOffice #LibreLogo #geometry #CreativeCode #procedural #CreativeCodeArt

  7. 🤔 Ah, the #nostalgia of #1980s bit-fiddling meets #Sierpiński #triangles in a convoluted, caffeine-induced fever dream! 👾 Who knew that #C #language devotees still cling to these ancient rites, conjuring up #code #optimization hacks that do more to befuddle than optimize? 🧐 Truly, the pinnacle of #programming enlightenment! 😂
    lcamtuf.substack.com/p/sierpin #HackerNews #ngated

  8. I have Fujichrome R25 Single-8 8mm film on which one of the color layers has spontaneously formed #Sierpinski #triangle #fractal like patterns, all over the whole 15m roll.

    UPDATE JUNE 2026:
    I just got another film with same kind of patterns, undeveloped 16mm microfilm.

    two movies based on the film roll were released in april 2026

    Analog Fractals #01
    youtube.com/watch?v=uNpZ_nX6y6U

    Analog Fractals #02
    youtube.com/watch?v=1G5jndS26MA

    on both films video by me, music by Proteque @proteque

  9. Never a Dull Enzyme schaechter.asmblog.org/schaech @STCmicrobeblog

    Emergence of fractal geometries in the #evolution of a metabolic enzyme: Franziska Sendker et al. nature.com/articles/s41586-024

    "Citrate synthase from S. elongatus has the peculiar capacity to self-assemble into a type of #fractal shape known as a #Sierpiński triangle. This is not a universal feature of citrate synthases, there's something unique about the one from this #cyanobacterium."

    #bacteria #microbes #cyanobacteria #fractals

  10. Printing Nat(a Cyborg)'s Sierpinski pyramid, and hot damn is this a badass looking model or what?

    Even cooler, each layer is a continuous curve, so this is printing in spiral vase mode. Neat!

    I'm printing using a 0.6mm nozzle, using the 0.15 layer height "Finn" version, in dual color PLA. You can get the model yourself at: printables.com/model/2311-spir

    @3dprinting #3dprinting #Sierpiński #math #mathematics #prusa #Printables

  11. Eine unscheinbare Änderung an einer Formel eröffnet den Weg zu neuen Objekten der fraktalen Geometrie.
    Mathematische Unterhaltungen: Mandelpinskis
  12. #Dogwalking miscellany

    Taken on the dogwalk a couple of days ago, but continuing the themes of flowers and digital art.

    “They’re flowers, Jim, but not as we know them”

    Four visions of a Heliconia.

    #photography #art #DigitalArt #ArtMatters #AYearForArt #Heliconia #abstract #GMIC #sierpinski #iphoneography #iphone14pro

  13. Die Mathematik kennt viele Kopfnüsse wie das Sierpiński-Problem. Die Frage ist, ob 78557 wirklich die kleinste Sierpiński-Zahl ist oder ob es noch kleiner geht.
    Zahlen, bitte! 78.557 – geht’s noch kleiner?