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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > A new 3d mandelbrot variant - Mandelcup
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Author Topic: A new 3d mandelbrot variant - Mandelcup  (Read 5724 times)
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pupukuusikko
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« Reply #15 on: November 15, 2015, 01:43:28 PM »
(Had various 'Daddy! Look!' ramblings about burning ship, will get back to it after more thought)
« Last Edit: November 15, 2015, 05:18:08 PM by pupukuusikko, Reason: got carried away » Logged
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KRAFTWERK
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« Reply #16 on: November 16, 2015, 10:03:47 AM »
Quote from: 3dickulus on November 13, 2015, 07:58:05 AM

@KRAFTWERK yours was using Mandelbulb 3D?



I havn't posted any images of this...
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3dickulus
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« Reply #17 on: November 16, 2015, 03:32:23 PM »
was referring to bulb interior view, not this specific bit of code
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Dinkydau
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« Reply #18 on: November 17, 2015, 08:32:18 PM »
Quote from: 3dickulus on November 13, 2015, 07:58:05 AM
Yikes! it is slow for the inside, maybe some of the larger math brains can help speed this up a bit.
@KRAFTWERK yours was using Mandelbulb 3D?

this pic is rendered with DE-Kn2, some nice structural features smiley
That looks incredible.
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KRAFTWERK
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« Reply #19 on: November 17, 2015, 08:35:37 PM »
Quote from: 3dickulus on November 16, 2015, 03:32:23 PM
was referring to bulb interior view, not this specific bit of code

All right! Yes, I am using Mandelbulb 3D for that! And it is also slow smiley
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pupukuusikko
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« Reply #20 on: November 17, 2015, 08:57:30 PM »
I noticed there is no need for complex division in the formula, so the projection part reduces to
Code:
void mandelcup(inout vec3 p) {

vec2 z = p.xy/p.z; // or (p.z*p.z+1) for  more conformal
z = complexMult(z,z)*c2;
p=vec3(2.*z.x, 2.*z.y, dot(z,z)-1.)/(dot(z,z)+1.);
}



which looks like normal 2d-mandelbrot formula in stereographic projection... huh?

Now it seems prudent to doubt the originality of my method, considering the simplicity of the formula,
my noobiness, and the effort put into the search of 3d mandelbrot.
Can anyone with experience comment on this? Have you been here before?
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3dickulus
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« Reply #21 on: November 18, 2015, 02:30:43 AM »
The path of discovery is, in itself, fractal by nature. (imho)

If you have learned something you didn't know before, even if it is only about the character of the mandelbrot formula and not a "new" method, then the journey was worth it and will continue...

On my Amiga I spent a lot of time fiddling with variants in C code but found that the assembler language output was always very similar, mostly because the good folks that put together the compiler did a fantastic job of optimization and my optimizations in C were virtually redundant. None the less, I learned stuff and there in lies the joy cheesy

hmmm... mandel-zen
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Max Sinister
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« Reply #22 on: June 01, 2016, 09:51:14 PM »
Some of these pictures remind me of cakes smiley
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