home.social

#mathematicalart — Public Fediverse posts

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

  1. Julia Doubly Mapped

    A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

  2. Julia Doubly Mapped

    A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

    #Fractal #Fractals #FractalArt #FridayFractals #Abstract #AbstractArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometric #GeometricArt #GIMP #Complexity #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  3. Julia Doubly Mapped

    A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

    #Fractal #Fractals #FractalArt #FridayFractals #Abstract #AbstractArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometric #GeometricArt #GIMP #Complexity #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  4. Julia Doubly Mapped

    A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

    #Fractal #Fractals #FractalArt #FridayFractals #Abstract #AbstractArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometric #GeometricArt #GIMP #Complexity #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  5. Julia Doubly Mapped

    A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

    #Fractal #Fractals #FractalArt #FridayFractals #Abstract #AbstractArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometric #GeometricArt #GIMP #Complexity #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  6. Polar Fractal

    Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

  7. Polar Fractal

    Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

    #Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  8. Polar Fractal

    Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

    #Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  9. Polar Fractal

    Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

    #Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  10. Polar Fractal

    Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

    #Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

  11. @gwenbeads the book arrived in the mail today. Unbelievable. This will be a delight to read and delve into. What a unique experience. Thank you so much. #mathematicalart

  12. Hello to the Fediverse :)

    Hello, people out there on Mastodon, Pixelfed, or whatever platform you use! You might have seen a weird collection of old posts reposted by my account today! Sorry :) This has been just me cleaning up minor stuff - not knowing that I have to turn off federation explicitly to avoid blasting out these old posts again! After a handful of posts and a few notifications of reposts of them I realized what was going on. You should be safe now, but I cannot guarantee no antique post ever will […]

    elkement.art/2025/11/13/hello-

  13. Linear Noise

    Just made some more noise art for #Genuary . 😜

    Noise art is a form of abstract art where an image is generated from statistical noise, where each pixel has a probability distribution as to what color it will be.

    This artwork looks better if not zoomed in at 100%. Something about blending adjacent pixels together makes it look 3D.

    #Generative #GenerativeArt #GenArtClub #MathArt #Mathematical #MathematicalArt #Geometric #GeometricArt #Neon #Rainbow #Colorful #Noise #Random

  14. Some years ago I came up with a space-filling curve similar in spirit to the Hilbert curve, but triangular instead of square, and with smaller steps in the sequence of approximations. See here for the details: ideophilus.wordpress.com/2012/

    Well, a commenter called Anthony D used the pattern for some floor tiles, and has given me permission to share photos, so here they are!

    #fractal #fractals #maths #mathematics #MathematicalArt #mathsArt #mathArt #math

  15. 🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️

    🔥 LimitedEdition MetaPh Prints Available! 🔥

    📩 DM to order directly from the artist — shipped to your door!

    🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️

    MetaPh series by André Sier (since 2017)

    📸 Moments captured through photography, enhanced by analog & mathematical lenses of imaginary arts. 🔍 Explore a world of metaphotography at: 👉 andre-sier.com/wolfanddotcom/metaph 👉 @a.sier

    🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️

    ✨ Tamanhos/Sizes (cm): 10x15, 40x30, 50x40, 70x50

    📜 Papel / Paper: Semi-translúcido ou opaco matte 150g

    🎨 Edition: 3 + PA / AP + PS / SP

    🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️

    Série MetaPh de André Sier (desde 2017).

    📸Momentos metafotográficos fixados através de fotografia ampliada com lentes analógicas e matemáticas de artes imaginárias. 🔍 Explora um mundo de metaphotografia: 👉 andre-sier.com/wolfanddotcom/metaph 👉 @a.sier

    🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️

    🎯 Act fast! Secure your MetaPh print today!

    #metaph #metaphotography #fractal #reality #nature #organism #viewingapparatus #lightmechanics #bliss #sea #light #imaging #exterior #world #abstract #art #photoart #imaginaryart #mathematicalart #computationalart #electronicart #digitalart #andrésier #originalartwork #edition3 #no_ai #sem_ia #andresier

    see more @ instagram.com/a.sier/

  16. #MathematicalArt / #MathsArt / #MathArt picks of the day:

    ➡️ @gwenbeads - Maths teacher, artist & crafter

    ➡️ @ngons - Mathematical #geometric art by particle physicist / data scientist

    ➡️ @zenorogue - Creates indie games featuring #art inspired by #maths

    ➡️ @HypercubicPeg - Maths art using images, crochet, beading etc

    ➡️ @scdollins - Mathematically generated art & animations

    ➡️ @henryseg - 3D printed & CGI maths art

    ➡️ @benoitmandelbot - Bot posting images from Mandelbrot fractal

  17. Newton fractal iteration
    z - f(z)/f'(z) + c2

    f(z) = z^-1-c
    with c = (-1,0),
    z initialized to (-1,0),
    and c2 initialized to the coordinates for each point

    #fractal #newtonFractal #mandelbrot #mathematicalArt

  18. What's on your mind ?

    #fractal #newtonFractal #mandelbrot #mathematicalArt

    newton fractal iteration
    z - f(z)/f'(z)

    f(z) = z^3-z+c
    (with z initialized to (0,0) and c initialized to the coordinates)

    #fractal #newtonFractal #mandelbrot

  19. 6/

    In general, the smoothly-connecting double cusp groups with numerator k are clustered into groups where the denominator is of the form \(kn + m, m < k \); m, k co-prime.

    So, for example:

    - if k=4, m ϵ {1,3}
    - if k=5, m ϵ {1,2,3,4}
    - if k=6, m ϵ {1,5}
    - if k=7, m ϵ {1,2,3,4,5,6}
    - if k=8, m ϵ {1,3,5,7}

    There are always an even number of such sub-streams, and they come in pairs (where m=j, k-j) where the structure is similar, but complementary. For example, when k=7, the paired streams are {7n+1, 7n+6}, {7n+2, 7n+5}, {7n+3, 7n+4}.

    Attached are several movies that show this effect when the numerator is 7.

    - the first one, titled "7n-Smoosh", shows what a concatenation looks like that includes all denominators in order, with maximum denominator 150

    - the other three are titled "7n+1", "7n+2", and "7n+3" with maximum denominator 250

    As was the case for the case where the numerator is 3, the relative beauty of these videos is in the eye of the beholder, but the ones that are constrained to constant offsets of a multiple of the numerator are much more consistent to one another.

    #kleinianlimitset #kleiniangroup #fractals #mobius #mobiustransforms #mathematicalart #mathart #mastoart #perfectloops

  20. 5/

    Attached are three different traces of the Maskit projection through the double-cusp groups where the numerator is 3, with a cap on the denominator at 188.

    The first attached video (whose caption begins with "Smoosh") shows the result of concatenating every available cusp, sorted by increasing value of the corresponding fraction; that is, the cusp list starts with {3/188, 3/187, 3/185, 3/184 ...}. Note that there is no double-cusp group for 3/189 or 3/186 because those fractions reduce.

    Unlike the movies for numerators 1 and 2, in this case the animation looks quite choppy and, although visual appeal is a matter of taste, certainly does not minimize differences between frames.

    The second and third videos show the technique to generate smooth animations. Since the frames corresponding to cusps expressed as 3/(3n + 1) share an orientation, as do the cusps 3/(3n + 2), we must render two separate movies, one for each pattern, to get a smooth animation.

    #kleinianlimitset #kleiniangroup #fractals #mobius #mobiustransforms #mathematicalart #mathart #mastoart #perfectloops