#mandelbulb — Public Fediverse posts

so Mandelbulb inherently has full spherical symmetry in its 3d imaginary part. Here I broke the symmetry by taking z=z*(z+i)+c as iteration function.
The y-axis here rotates in the i-j-plane, the x-axis is the real part.
#creativecoding #mandelbulb

Shifting, turning, and eventually zooming in Mandelbulb.

Full Video: https://youtu.be/opdSCKEUF8U

#mandelbulb

Perpendicular to the real axis.

But there's something wrong in the code.
This should be more symmetric.

#mandelbulb #creativecoding

jus' JosKn #Monday #Mathart #Mandelbulb #Mood

"Just remember," she says. "I'm holding you responsible for all of this."

#Monday #Mathart #Mandelbulb #Mood

One way to avoid the sharp edges seen on the Mandelbox is to replace the non-smooth fold operations with something more like a wrap operation.
As with the #MandelbrotSet and the #Mandelbulb we square the vector magnitude each iteration and find a way to multi-cover the remaining degrees of freedom.
Unlike the Mandelbulb we can make this multi-cover conformal on the sphere by treating it as a Riemann sphere and using the transformation:
\( \frac{-z}{2\sqrt{2}}\Pi_{j=0}^2 \frac{z-\sqrt{2}e^{2ji\pi/3}}{z-\sqrt{1/2}e^{(2j+1)i\pi/3}}\)

The result is quite odd:
(image by pupukuusikko: https://www.deviantart.com/pupukuusikko)

and deeper inside reveals these elaborate ceilings and ornamentation.
The nice looking arches are because the +c part stretches the spherical curves from the sphere inversions into ellipsoids. The orthogonal linear folds (called a box fold) also contribute to its architectural appearance compared to for example the #Mandelbulb.
info: https://sites.google.com/site/mandelbox/gallery

#thursdayfractal #trippy #mandelbulb #sierpinski

Asteroid Belt #Mandelbulb #Fractal #MathArt #Design ~:::<>:::~

A render of Adam Burch’s A-Wing model. Using a fractal render for the background generated in #mandelbulb. Rendered in #Lightwave3D and pixel poked in Photoshop #StarWars #StarWarsArt

Did you know the #mandelbulb?
And the #juliabulb?
http://www.bugman123.com/Hypercomplex/index.html

Fractal Mindblow 1/2022 (4K) | morn1415

https://www.youtube.com/watch?v=Vpzgb5AYe6U

#morn1415 #3d_fractal #mandelbulb #riemann_sphere #hypercomplex #mandelbrot_set #beautiful_fractals #4K_fractals #infinity #infinite_fractals #fractal_zoom

Oops. That first link I sent was actually part 2. Start reading from here:
https://www.skytopia.com/project/fractal/mandelbulb.html
#mandelbulb #mandelbrot #fractal #3d #math

This article is an epic tale of mathematical research and computer graphics. After I first read it in 2009, the #Mandelbulb immediately became my desktop background. And it still is today:

The #Mandelbulb is a 3D variant of the original Mandelbrot set. This blogpost explained how it was "discovered" by Daniel White.

https://www.skytopia.com/project/fractal/2mandelbulb.html
#fractal #math #3d