#mathematicalart — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathematicalart, aggregated by home.social.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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@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
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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 […] -
Rainbowcore Lichen
Another Mandelbrot fractal that I made in GIMP.
#Fractal #Fractals #FractalArt #Mandelbrot #MandelbrotSet #Geometry #Geometric #GeometricArt #Rainbow #Rainbowcore #Colorful #Colourful #Psychedelia #Psychedelic #Trippy #GIMP #Math #Maths #MathArt #Mathematics #Mathematical #MathematicalArt #Abstract #AbstractArt #Digital #DigitalAbstract #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon
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Gilded Treasure
Image made using multiple levels of polar coordinate mappings.
#Geometric #GeometricArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Digital #DigitalArt #Pixel #PixelArt #GIMP #Art #Artwork #MastoArt #ArtistOnMastodon
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Alien
Artwork I made by creating an abstract pixel art composition as a base image and then mapping it to polar coordinates.
#Geometric #GeometricArt #MathArt #MathsArt #MathematicalArt #ASCII #ANSI #ASCIIArt #ANSIArt #Space #Spaceship #Alien #Aliens #UFO #Abstract #AbstractArt #Surreal #Surrealist #Surrealism #SciFi #SciFiArt #ScienceFiction #Fantasy #FantasyArt #SpaceArt #Pixel #Pixels #PixelArt #Digital #DigitalArt #GIMP #Trippy #Psychedelic #PsychedelicArt #Art #MastoArt #ArtistOnMastodon
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Synthesis
#Computer #ComputerArt #Digital #DigitalArt #Abstract #AbstractArt #Fractal #Fractals #FractalArt #Mandala #Mandalas #Gradient #Rainbow #Rainbowcore #Dreamcore #Scenecore #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometry #Geometric #GeometricArt #GIMP #Color #Colors #Colorful #Colour #Colours #Colourful #Psychedelia #Psychedelic #PsychedelicArt #Retro #RetroAesthetic #RetroFuturism #DOS #MSDOS #ASCII #ANSI #Cyberpunk #CyberpunkArt #Symmetric #Art #MastoArt
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Lichen
#Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #Abstract #AbstractArt #Digital #DigitalArt #Mandelbrot #MandelbrotSet #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Complex #Complexity #Green #GIMP #Art #Artwork #FediArt #MastoArt #ArtistOnMastodon
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Patterned Quadtree
Manipulation of the quadtree fractal made in GIMP. Original fractal made with Processing.
#Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #Math #Maths #MathArt #Mathematical #MathematicalArt #Abstract #AbstractArt #Digital #DigitalArt #GIMP #Photomanipulation #Square #Squares #Pattern #Patterns #Complex #Complexity #Art #Artwork #MastoArt #ArtistOnMastodon
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Julia Mapped to Mandelbrot
I used the GIMP Fractal Explorer to generate a Julia set, then mapped it to a Mandelbrot set with Fractal Trace. I also played with the colors to make it pretty.
#Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #Math #Maths #Mathematical #MathArt #MathematicalArt #Psychedelic #PsychedelicArt #Abstract #AbstractArt #Generative #GenerativeArt #DigitalArt #GIMP #Art #Artwork #MastoArt #ArtistOnMastodon
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Composition
Made by stacking multiple levels of composition of the rectangular-to-polar coordinate mapping on top of each other, using a spectrum gradient as a base image.
#Gradient #Math #Maths #MathArt #Mathematical #MathematicalArt #Geometric #GeometricArt #GIMP #Rainbow #Rainbowcore #Psychedelia #Psychedelic #Spectrum #Colorful #Digital #DigitalArt #Abstract #AbstractArt #Art #Artwork #MastoArt #ArtistOnMastodon
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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
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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: https://ideophilus.wordpress.com/2012/09/06/a-triangular-space-filling-curve/
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
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🌪️🌨️🌞🐺🖼️🖌️📸💻🐬☀️⛈️🌪️
🔥 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 @ https://www.instagram.com/a.sier/
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Hybrid Manifold
Polar coordinate manipulation, made by combining the other three manifolds.
#Geometry #Geometric #GeometricArt #Abstract #AbstractArt #Mathematical #MathArt #MathsArt #MathematicalArt #GIMP #MadeWithGIMP #Digital #DigitalArt #Art #Artwork #Artist #MastoArt
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Fire Manifold
Third installment in the Manifold series.
#Geometry #Geometric #GeometricArt #MathArt #MathsArt #Mathematical #MathematicalArt #Abstract #AbstractArt #Digital #DigitalArt #GIMP #MadeWithGIMP #Art #Artwork #Artist #MastoArt
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Water Manifold
Another artwork in the manifold series. Created by mapping an image to polar coordinates multiple times in GIMP.
#Geometry #Geometric #GeometricArt #MathArt #Mathematical #MathematicalArt #Abstract #AbstractArt #Digital #DigitalArt #Water #Art #Artwork #Artist #MastoArt
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Space Manifold
Artwork created by mapping an image to polar coordinates multiple times.
#Geometry #Geometric #GeometricArt #Abstract #AbstractArt #MathematicalArt #MathArt #MathsArt #DigitalArt #Art #Artwork #Artist #MastoArt
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#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
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Newton fractal iteration
z - f(z)/f'(z) + c2f(z) = z^-1-c
with c = (-1,0),
z initialized to (-1,0),
and c2 initialized to the coordinates for each point -
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) -
Newton fractal
z - a f(z)/f'(z)
f(z) = cos(z)^1-c with c = (0,0), a = (0.7,0)#fractalArt #mathematicalArt
#fractal #genuary #genuary6 #newtonFractal -
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
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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
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Trapezoid and diamond aperiodic tiling, rule T0D0. More information: https://www.behance.net/gallery/167013835/Trapezoids-and-diamonds
#math #mathematics #geometry #geometric #geometricart #mathematicalart #abstract #abstractart #generativeart #generative #algorithmicart #algorithmic #procedural #proceduralart #tiling #aperiodic #aperiodictiling #deflation