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Author Topic:  Alex's images  (Read 1344 times)

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Offline FractalAlex

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Alex's images
« on: May 25, 2020, 06:03:50 PM »
This topic will be dedicated to my images, made with different fractal software, such as Kalles Fraktaler and ManpWIN.

Enjoy!

Burning Ship in a Newton fractal

Linkback: https://fractalforums.org/image-threads/25/alexs-images/3520/
"I am lightning, the rain transformed."
- Raiden, Metal Gear Solid 4: Guns of the Patriots

Offline FractalAlex

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Re: Alex's images
« Reply #1 on: May 25, 2020, 06:31:13 PM »
Ripples and shattered glass
TheRedshiftRider 9

Offline FractalAlex

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Re: Alex's images
« Reply #2 on: May 25, 2020, 07:06:17 PM »
At the edge of the event horizon

Offline FractalAlex

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Re: Alex's images
« Reply #3 on: May 26, 2020, 01:48:38 PM »
Flower Tree

Offline FractalAlex

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Re: Alex's images
« Reply #4 on: May 28, 2020, 04:43:04 PM »
Bairstow fractal, function: \( f(z) = z^6 + (2-4i)z^5 - z + (2+4i) \)
Like Laguerre's method, Bairstow's method works only with polynomials.
« Last Edit: December 20, 2020, 01:37:03 PM by FractalAlex »

Offline FractalAlex

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Re: Alex's images
« Reply #5 on: May 28, 2020, 10:18:29 PM »
One of the most unusual features of the Total Mobius Mandelbrot is the presence of an unusual minibrot - a fusion of both a Tricorn and a Mandelbrot set, nicknamed a "Mandelcorn". It is also present in the Right Mobius Mandelbrot.

Offline FractalAlex

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Re: Alex's images
« Reply #6 on: May 30, 2020, 12:32:13 AM »
The Mandelbrot set, with the Moon, Earth and Sun from 2001: A Space Odyssey. Rendered with Kalles Fraktaler.

Offline FractalAlex

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Re: Alex's images
« Reply #7 on: May 31, 2020, 02:43:37 PM »
Bairstow Mask, with the following function:\[ f(z) = z^4 - 5z^2 + 4 \]

Offline FractalAlex

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Re: Alex's images
« Reply #8 on: June 05, 2020, 01:47:55 PM »
A Hilbert curve in the Quartic Burning Ship.

Offline FractalAlex

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Re: Alex's images
« Reply #9 on: June 06, 2020, 01:44:31 PM »
Budding Seahorses

Offline FractalAlex

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Re: Alex's images
« Reply #10 on: June 07, 2020, 02:02:16 PM »
A Celtic Julia Morphing with an orange fruit-appealing color palette.
Zoom: 2.4183404440415646E265 (around 2^881.58)

Offline FractalAlex

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Re: Alex's images
« Reply #11 on: June 08, 2020, 02:41:25 AM »
A Tricorn quatuor in the Elephant Valley of the Left Mobius Mandelbrot set.

Offline gerson

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Re: Alex's images
« Reply #12 on: June 08, 2020, 04:24:22 AM »
very good images, could you give me more information (program used and details) about Reply #10?

Offline FractalAlex

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Re: Alex's images
« Reply #13 on: June 08, 2020, 02:00:23 PM »
Thanks! Image #10 was rendered with Kalles Fraktaler 2.14.10.1. I used some of it's new features (phase strength, though not noticeable) as well the Newton-Raphson zooming to make this shape, which contains Glynn spirals.

Offline FractalAlex

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Re: Alex's images
« Reply #14 on: June 17, 2020, 06:32:24 PM »
This is the Auto Quadratic fractal. This fractal was part of Fractal eXtreme's pre-existing plugins. There are twelve coefficients used in this fractal. The parameter is EHPLWTDJRCAP, which is the default in Fractal eXtreme. Rendered with ManpWIN 4.00e.
Parameters:
Code: [Select]
AutoQuadratic {
z = pixel, zr = real(z), zi = imag(z)
a = -1.2, b = -1.1, c = -1, d = -0.9, e = -0.8, f = -0.7
g = -0.6, h = -0.5, i = -0.4, j = -0.3, k = -0.2, l = -0.1
m = 0, n = 0.1, o = 0.2, p = 0.3, q = 0.4, r = 0.5, s = 0.6
t = 0.7, u = 0.8, v = 0.9, w = 1, x = 1.1, y = 1.2:
zrnew = e + h*zr + p*zr^2 + l*zr*zi + w*zi + t*zi^2
zi = d + j*zr + r*zr^2 + c*zr*zi + a*zi + p*zi^2
zr = zrnew
|(zr^2) + (zi^2)| < 5000
}
You can change the letters that represent the coefficients and create a variety of cool shapes. There are 59 604 644 775 390 625 (59.6 quadrillion) possible combinations!
« Last Edit: June 18, 2020, 01:20:15 PM by FractalAlex »


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