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Author Topic: Succeess with 3D gravit swirl  (Read 655 times)
Description: Maybe not so great, but still cool swirls
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cKleinhuis
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« Reply #15 on: January 11, 2013, 11:11:55 AM »

ok, but most transforms are easily extendible to 3d at least most of them wink
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divide and conquer - iterate and rule - chaos is No random!
kram1032
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« Reply #16 on: January 11, 2013, 04:39:59 PM »

cKleinhuis: There is no obvious way how to turn a 2D spiral into a 3D spiral. You can do some things but none of them could really be considered "natural" extensions.

One idea would be to simply add a linear component to the z-axis, making it a tapered helix or a spiral on a cone.
Using the logarithmic version instead would make it a logarithmic helix, looking like a path a particle near a black hole might be imagined to take. (The actual paths such particles take would be much more complex, I guess)
Other ideas:
http://en.wikipedia.org/wiki/Spiral#Three-dimensional_spirals
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cKleinhuis
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« Reply #17 on: January 11, 2013, 04:56:15 PM »

some transforms are harder than others, when browsing through the apophysis code, most functions are easily extensible to 3d wink
lol, might result in completely different transforms, but would be worthwile to transform most of them ... wink
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divide and conquer - iterate and rule - chaos is No random!
Alef
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« Reply #18 on: January 14, 2013, 03:43:50 PM »

I'm not shure how does Apophysis transforms works. Maybe UF pixel mapping functions would be more easy, but Apophysis images are more favored in deviantart, so there are something.




I also made box fractal based on swirl transform. Modified abox fold based on abs function, then 3D Swirl, then Scale and +c. Still must be tweaked. So far it looks like int folding, but there are hidding spirals. 


I think, 3D fractals and transformations could be based on vector math.
I was thinking, what would be, if Z is 3 variable vector, then to this vector is added perpendicular vector with lenght 1, then another perpendicular vector with lenght 1, and then C, or something like that, to create square or cubic orbits, which wount escape for some few 3-10 itertions.
« Last Edit: January 14, 2013, 03:46:36 PM by Alef » Logged

fractal catalisator
kram1032
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« Reply #19 on: January 14, 2013, 04:39:01 PM »

nice smiley
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