WhimsyOuroborusJulia Magneto Bulb
Ouroborus
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Keywords: Fragmentarium GLSL 
Posted by: 3DickUlus May 31, 2020, 06:23:24 AM

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Comments (9) rss

Sabine62
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It's just a jump to the left...


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May 31, 2020, 08:11:08 AM
:awe: So nice!
pauldelbrot
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May 31, 2020, 08:17:16 AM
Which rational map?
3DickUlus
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May 31, 2020, 08:39:30 AM
ty Sabi :)

Magnet II ???
Code: [Select]
       z  =  -(z / dot(z, z));
        for (i = 0; i < Iterations; i++) {
            a = z.x * z.x - z.y * z.y + c.x + c2.x;
            p = b = (z.x + z.x);
            p += c.x - 1.;
            b *= z.y;
            b += c.y + c2.y;
            q = z.y + z.y + c.y;

            z.x = (a * p + b * q) / (p * p + q * q);
            z.y = (p * b - a * q) / (p * p + q * q);
            a = z.x * z.x - z.y * z.y;
            z.y = 2.0 * z.x * z.y;
            z.x = a;
            dist = max(dist, dot(z, z));

            if ((abs(z.x - 1.) + abs(z.y)) < 0.0000001) break;
            if (abs(a) > 100000.) break;
        }


...another one from before I knew what a complex number was. You can find the fragment in the FragM Examples/3DickUlus/Magnet.frag, it's formula #2.
Last modified by: 3DickUlus May 31, 2020, 08:43:57 AM
pauldelbrot
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May 31, 2020, 11:32:44 AM
That looks like [(z^2 + c + d)/(2z + c - 1)]^2, if I'm reading it correctly. There's also an initial transform of z <- 1/z before the iterations begin, so the fractal is inverted. Hmm.
Caleidoscope
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May 31, 2020, 12:13:42 PM
Very aesthetic, beautiful.
gerson
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May 31, 2020, 07:07:27 PM
waning or crescent moon?
Last modified by: gerson May 31, 2020, 07:08:49 PM
Sabine62
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It's just a jump to the left...


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June 02, 2020, 05:42:43 PM
I think the term maybe 'waxing', Gerson ;)
A wonderful word though I am not exactly sure what it means  ;D Honestly ;)
3DickUlus
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June 03, 2020, 01:18:24 AM
A moon that is waxing is one that is getting larger each night.
A waning moon when it is in the phase in which its visible surface area is getting smaller.

but it's neither, it's a snake biting it's tail... will post the "moon shot" later today ;)
Sabine62
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June 03, 2020, 10:06:22 AM
Ohh of course! I might also have just read the title...  :fp: :))
Thanks for the waxing explanation. I already thought it would probably have the same etymological roots as the German 'wachsen' and the dutch 'wassen' ;) (Language, another of my many many interests, none of which I have any proficiancy in  :)) )

Online I found this:
Code: [Select]
waxing
[ wak-sing ]
SEE SYNONYMS FOR waxing ON THESAURUS.COM
noun
the act or process of applying wax, as in polishing or filling.
the manufacturing of a phonograph record.
the act or technique of applying a depilatory wax to the body for removing hair.

 :))

But I was sure I had read the term somewhere in combination with the moon fases...

Looking forward to your moon shot ;)

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