Lmst

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

Flat multicolored space ship with two inward-curving prongs in the front and two more rounded inward-curving prongs in the back, speeding through space with yellow speed lines/motion blur behind it, against a backdrop of black with ASCII/ANSI stars made with dots and plusses of different colors

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

Multiple concentric rings of rainbow-colored shapes in front of a black background with DOS characters of different colors

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

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

Fractal made from squares inside squares, where each square is divided into quarters, and the top right and bottom left are further divided into more quarters; each square is filled with a different pattern or texture, with all squares of the same size filled with the same pattern - clouds for the outermost squares, then red bricks, then blue water, then green pot leaves, then purple swirls, then a yellow woodgrain pattern

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

Fractal with yellow, red, cyan, and blue sections that have a spiral pattern that repeats indefinitely as you go closer to the corners

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

Color gradients set inside other color gradients, with the outermost shapes being more circular and the innermost ones becoming progressively narrower and more bow-shaped

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

Sparkly 3D bars made of pixel noise and colored red, yellow, green, cyan, blue, and magenta, against a black background

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

Right-isosceles triangular tiles of two colours arranged in a pattern where branches of each colour seem to stick out into what would otherwise be areas of the other colour. Some of the tiles have sides twice as long as the other tiles. The angle the photo was taken from makes the tiles look a bit closer to equilateral.

Right-isosceles triangular tiles of two colours in the process of being attached to a floor by some kind of substance. There are upside-down U-shaped things sticking up between some pairs of tiles, presumably for keeping the spaces between them consistent.

An arrow flies, a point defined,
In endless math, no edge, no bind.
The tree expands, yet stays the same,
A whispered truth without a name.

One pattern, one truth,
swift as an arrow—
the fractal tree,
infinite, narrow.

The roots are deep in logic's ground,
Where zero sleeps without a sound.
From this still point, the numbers rise,
Reaching up to touch the skies.

A fractal tree, both swift and still,
Numbers bloom on branch and will.
Roots entwined in quiet ground,
Leaves of light without a sound.

In silence it grows,
a tree of math,
fractals unfolding—
infinite path.

#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 #andrésier

$(instagram preview of blue background with central photo of wind bent trees reflected in fractal pond) An arrow flies, a point defined, In endless math, no edge, no bind. The tree expands, yet stays the same, A whispered truth without a name. One pattern, one truth, swift as an arrow— the fractal tree, infinite, narrow. The roots are deep in logic's ground, Where zero sleeps without a sound. From this still point, the numbers rise, Reaching up to touch the skies. A fractal tree, both swift and still, Numbers bloom on branch and will. Roots entwined in quiet ground, Leaves of light without a sound. In silence it grows, a tree of math, fractals unfolding— infinite path.$

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🔥 LimitedEdition MetaPh Prints Available! 🔥

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

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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

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

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

🎨 Edition: 3 + PA / AP + PS / SP

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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

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🎯 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/

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

Pink saddle-shaped iridescent blob against a purple grid background

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

Saddle-shaped fireball in front of a background of maroon-colored smoke and floating sparks

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

Saddle-shaped blob of glistening blue water against a blue grid background

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

Smooth, rounded, multicolor surface composed of a wireframe mesh, shaped in an arch shape, against a space background with stars made from colored periods and plus signs

https://www.dynamicmath.xyz/

#opensource #mathematics #visualization #complex #analysis #fractals #modelling #differential #equations #mathematicalArt #calculus #fourier #fouriertransform

Here is a larger version produced using Fragmentarium (a free and open source shader editor).
It is actually downscaled from 10000x10000px to 2000x2000px using GIMP.

The formula used for this is:

z[0] = x + y*i, where x and y are the image coordinates

z[n+1] = i / ((a / z[n] - b/ z[n]) * e ^ (a / z[n] + b / z[n]))

where a and b are complex valued coefficients, controlling the behavior and structures of the result.

the color is generated by the HSL color space (converted to RGB) namely H = 0, S = 0, L = clamp(|z[250]|, 0, 1).

#fractal #art #function #iteration #spiral #blackwhite #mathart #mathematicalart #detail #density