Ouroborus
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Filesize: 2.97MB
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Keywords: Fragmentarium GLSL
Posted by: 3DickUlus May 31, 2020, 06:23:24 AM

Rating: by 3 members.
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 Sabine62 3c Offline Posts: 866 It's just a jump to the left... May 31, 2020, 08:11:08 AM So nice! pauldelbrot 3f Offline Posts: 2061 May 31, 2020, 08:17:16 AMWhich rational map? 3DickUlus 3f Offline Posts: 1747 May 31, 2020, 08:39:30 AMty 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 3f Offline Posts: 2061 May 31, 2020, 11:32:44 AMThat 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 Moderator Offline Posts: 481 May 31, 2020, 12:13:42 PMVery aesthetic, beautiful. gerson Fractal Fluff Offline Posts: 376 May 31, 2020, 07:07:27 PMwaning or crescent moon?Last modified by: gerson May 31, 2020, 07:08:49 PM Sabine62 3c Offline Posts: 866 It's just a jump to the left... June 02, 2020, 05:42:43 PMI think the term maybe 'waxing', Gerson A wonderful word though I am not exactly sure what it means   Honestly 3DickUlus 3f Offline Posts: 1747 June 03, 2020, 01:18:24 AMA 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 3c Offline Posts: 866 It's just a jump to the left... June 03, 2020, 10:06:22 AMOhh of course! I might also have just read the title...   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.COMnounthe 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