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Trafassel quaternion | ||||||
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Description: A quaternion variation by trafassel that contains the original mandelbrot 2d slice, you can guess it from the front to back, a minibrot is shown in the front. I like this variation, with some sign changes on the dimensions it converts to more roundy bulb versions. I wanted to ask for permission to use the formula in m3d but did not found the thread... suffering a bit from headache, try to solve it with some Stats: Total Favorities: 0 View Who Favorited Filesize: 491kB Height: 900 Width: 1200 Posted by: Jesse December 05, 2010, 01:09:15 AM Rating: by 3 members. Image Linking Codes
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Comments (7) | |
trafassel | December 13, 2010, 09:19:07 PM The original Ide's Formula thread: http://www.fractalforums.com/videos/formula-21-%28julia-set-interpretation%29/ for (n = 1; n < zkl; n++) { ai = 2 * ai * ar * aj + bi; aj = aaj - (aai + aar) / 2.0 + bj; ar = aar - (aai + aaj) / 2.0 + br; aar = ar * ar; aai = ai * ai; aaj = aj * aj; d = aar + aai + aaj; if ((d) > gr) { tw = n; break; } } Here ar, ai and aj are initialised as 0 and (br, bi, bj) corresponds to the point (x,y,z) to test. If you set arTemp=ar; ar=ai;ai=aj;aj=arTemp; after each iteration and play with the julia start values (and the 2.0 in the formula) you got some nice 2D julia mapping at the surface. http://www.fractalforums.com/3d-fractal-generation/3d-julia/ |
Jesse | December 13, 2010, 07:55:07 PM Oh, sorry for this mistake! Did this formula a moment before posting a new program version and did not read the thread carefully enough... and could not find the thread at all, because i wanted to ask before. So would it be ok to change the formula name to "FracmonkQuat"? If Fracmok is reading this: just suggest a name you would like for it. Trafassel, may you point me to where i can find the "Ides Formula", so i see if i can implement it. |
KRAFTWERK | December 13, 2010, 02:56:45 PM Cool metal crystals Jesse, got to try the formula, I agree with Trafassel, looks like Fracmonk's formula? |
trafassel | December 13, 2010, 10:52:13 AM It would by a privilege if you add some of my formulas in m3d (I would really love to see "Ides Formula" - or the 3d-julia Variant - in Mandelbulb 3D). But this one looks like Fracmonk's idea: http://www.fractalforums.com/3d-fractal-generation/true-4d-m-extension-search-for-the-holy-grail(s)-goes-on/ |
lenord | December 05, 2010, 06:15:34 PM Thanks Jesse, done and done |
Jesse | December 05, 2010, 09:46:19 AM I forgot to add a parameter in the formula file, you can add it with a simple text editor: put ".DEoption = 4" (without the"") in a new line under the ".Version = 2" parameter and reload the formula. That makes rendering a bit easier. |
lenord | December 05, 2010, 01:59:38 AM Yeah, was just looking at that formula in the new version 167, should be fun |
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