Nobody can get no sleep, there's someone on everyone's toes
#FractalFriday
|triplex> + |classic> + |indiegogo quilz> buddhabulbs = ...🤨 is ðat it
#FractalFriday #quantum #fail #creativecoding #animation #3d #fractal #space #abstract #art
#FractalFriday
Automatic perturbation for deep-zoom images (theoretically) https://www.shadertoy.com/view/33sSRf
Decagon (fractal version)
\(z_{n+1}=fold(z_n)^2+c\)
where fold is a generalized absolute value function. A complex number has two components: a real and an imaginary part.
If we take the absolute value of one of these parts, we can interpret this as a fold in the complex plane. For example, |re(z)| causes a fold of the complex plane around the imaginary axis, which means that the left half ends up on the right half. If we do this for the imaginary component |im(z)|, we fold the complex plane around the real axis which means that the bottom half ends up on the top half.
These two operations are quite similar, because the imaginary fold is just like the real fold of the plane, except that it was previously rotated 90 degrees (z * i). But what if we rotate the plane by an arbitrary number of degrees?
An arbitrary rotation of the complex plane can be expressed as rot(z, radians) = z * (cos(radians) + sin(radians) * i), where radians encodes the rotation.
The image here is produced, by rotating the plane exactly five times, and folding the imaginary part each time.
I found this algorithm in the Fractal Formus under the name “Correction for the Infinite Burning Ship Fractal Algorithm”.
It can be seen as a generalization of the burning ship obtained by folding the complex plane twice with a rotation of 90 degrees, i.e. folding both the real and the imaginary part.
#fractalfriday #fractal #burningship #mandelbrot #complexplane #complexnumbers #mathart #math #escapetimefractals
Deep inside
dludaⲏbbud😳buddⲏabulb
#FractalFriday #fractal #3d #animation #mathart #mastoart #clouds #abstract
Static in my attic #Friday #Fractals #FridayFractals it's #FractalFriday
i^2 = j^2 = -1, i*j = j*i = i 🤨triplex🤨buddhabrot
🧐 all of ðese forced 3d formulas seem to create ðose streaks/surfaces which u don't get wiθ complex multiplication
#FractalFriday #space #fractal #3d #buddhabrot #creativecoding #mathart #animation #mastoart
A fractal with circles. With the colours of the flag of #Palestine, to reclaim the end of the #genocide in #Gaza.
#geometry #Mathart #fractal #FractalFriday
3d buddhabrots cud have been rly cool if we were less dimensionaly challenged & it didn't take gigabytes of ram to have a single θread rendering 1 at a good resolution🤔🤔🤔
edit: uppsteppen ⏩
#mathart #3d #fractal #budddhabrot #nebulabrot #art #animation #creativecoding #cursedcoding #FractalFriday
My first good #OpenCL #Mandelbrot #fractal using #perturbation. (Separated from the fragment shader, which does the coloring of the computed iterations.)
Next step is a formula parser, which generates opencl-code, which can be compiled at runtime.
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