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Fractal Image Gallery / Free, stock, fertilization in progress...
« Last post by Caleidoscope on Today at 10:51:44 AM »
Free, stock,  fertilization in progress...



https://fractalforums.org/index.php?action=gallery;sa=view;id=1118

Free, stock, For personal use only, no credits necessary.

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{Title: jux  hidden art 4 by k.}
2
Image Threads / Re: Shorelines
« Last post by pauldelbrot on Today at 07:11:51 AM »
Oceanic
3
Fractal Image Gallery / "Stanley"
« Last post by cricke49 on Today at 06:06:20 AM »
"Stanley"



https://fractalforums.org/index.php?action=gallery;sa=view;id=1115

"Stanley"
from Hypex2772's "Rotation" params
MB3D, JWildfire, and twisted brush
4
Image Threads / Re: gerrit images
« Last post by gerrit on Today at 05:22:26 AM »
That is so cool! The second image shows how it gets the embedded Julias nearby right, whereas the linear approximation does not (even for unwarped minis).
For comparison, here's the nucleus used.
5
Image Threads / Re: gerrit images
« Last post by pauldelbrot on Today at 04:55:25 AM »
That is so cool! The second image shows how it gets the embedded Julias nearby right, whereas the linear approximation does not (even for unwarped minis).
6
I have noticed (when dealing with Kosmic-Stardust's fractals but this is probably true about all fractals) that they share these properties:

The points of the hybrid that are entirely real start and end at the same points of the real axis as the entirely real part of the 'real' fractal, while the points of the hybrid that are entirely imaginary start and end at the same points of the imaginary axis as the entirely imaginary part of the 'imaginary' fractal.

This can be proved because on either axis, the other axis is always zero, so the original axis takes over. For example:
A Burning Ship/Buffalo hybrid will contain the same points on the imaginary axis as the Buffalo since all of the z_reals (which are Burning Ship-related) will be zero.

The symmetry on the real axis is determined by whether the 'imaginary' fractal has symmetry on the real axis, while the symmetry on the imaginary axis is determined by whether the 'real' fractal has symmetry on the imaginary axis.

Sound confusing? Here's an example. I will predict the structure of the Cubic BS Partial Imaginary this way:

The real fractal is the Mandelbrot, while the imaginary one is the Burning Ship.

What the real axis looks like: Shares it with the Cubic Mandelbrot, so it runs from -0.38 to 0.38 or wherever.
What the imaginary axis looks like: Shares it with the Cubic BS. Since it has an imaginary needle, this fractal has a needle on the imaginary part.

Real symmetry: None, since the Cubic BS does not have symmetry around the real axis.
Imaginary symmetry: Since the Cubic Mandelbrot has symmetry on the imaginary axis, the Cubic BS Partial Imag also has symmetry on the imaginary axis.
7
Image Threads / Re: gerrit images
« Last post by gerrit on Today at 03:04:53 AM »
Taking the super series approximation polynomial around a warped min of period 8 to order (8,4), then just render the polynomial as a normal fractal.
Implemented as an UltraFractal formula.

This one consists of infinitely many disconnected minis, some warped, some not. Zoom on the main one.
8
Assemblage of Dawn Creatures

4K video made with Mandelbulber 2.14, using formulas: Benesi Pinetree + Aexion Octopus Mod + Transform Rpow3.

Music: Solo piano, improvised, one-take, unedited, hit "record" and rock it out for 4:50. Key of A minor.

9
Fractal movie gallery / Re: New Fractale Music avec MandelBulber GPU
« Last post by Paigan0 on Today at 01:08:23 AM »
Nice use of audio to morph the power of the Mandelbulb! :thumbs:
10
Image Threads / Re: zm49 (Stars)
« Last post by CFJH on Yesterday at 08:10:47 PM »
4x1Stars (at E14599)
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