designed to work as a mug 
credit for the fractal iteration goes to twinbee over at fractalforums.com!
credit for the fractal iteration goes to twinbee over at fractalforums.com!
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it'll make its way into indigo renderer sometime, for damn sure
If it's free and available for almost people, pls I ask you about it. Can you please give me a 3d object or the available way to get it from code/script related to Fractal application? Thanks, not sure I'll get a answer while you put this in scrapt.
the object is given by an equation from a friend (name is "twinbee" on fractalforums.com), which i have rendered with my own program (everything in my gallery is made with my c++ programs, most of the time without photoshop). there is no real 3d mesh, no polygons, it's just one equation like for example x^2 + y^2 + z^2 = r^2 (which defines a 3d sphere) but more complex. unfortunately, this is extremely slow - an image will take many hours even on the best computers using 100% of all cpu cores. this also means it is basically impossible to make a 3d mesh of it, since it never exists in my program (it can be done, but this is a lot of work and i unfortunately have little time for fractals these days).
currently i am rendering (since most of today and last night!) a new image, with a similar equation but modified so it gives a different surface. at this time tomorrow, it should be here in my scraps too - i put it in my scraps since i feel it's not really "art", just a test / experiment without any thinking about design.
thank you for taking the time to look at my scraps, and i'm sorry i can't be of more help right now. if you really really really want it, maybe i can try to plan some time for making a small program that will (with a LOT of cpu time!) export a high resolution .obj format mesh.
Honestly, is there any way to made out a mesh from that equation via some existed Fractal generator? Or they can't allow people input that kind of equal for generating n exporting? Fractal programs're numerous but contain export feature not that much, and complex equation and so on... I guess no way like that(?)
Below code is full content of necessary thing or just a part of full?
// A triplex number is a '3D' number
triplex multiply(triplex a, triplex b) {
triplex n;
double pi=3.14159265;
double r = pow(a.x*b.x + a.y*b.y + a.z*b.z , 0.5);
double yang = atan2( pow(a.x*b.x + a.y*b.y, 0.5) , a.z ) ;
double zang = atan2(a.y , b.x);
n.x = (r*r) * sin( yang*2 + 0.5*pi ) * cos(zang*2 +pi);
n.y = (r*r) * sin( yang*2 + 0.5*pi ) * sin(zang*2 +pi);
n.z = (r*r) * cos( yang*2 + 0.5*pi );
return n;
}
the way i would do it, is to make a very big grid (it would have to be at least 1024 * 1024 * 1024) and then, for every cell in the grid use that "triplex multiplication" to decide if the cell is inside or outside the surface. so if you have a triplex number t, then you do something like "new_triplex = multiply(old_triplex, old_triplex); old_triplex = new_triplex", so it's just like the standard mandelbrot feedback (and the initial triplex is given from the cell co-ordinates).
sorry if that's a bit too detailed, but the next steps once you have the inside/outside should be more familiar: this can be used to define an "isosurface" or "implicit surface", so there should be many tools available that can turn it into a mesh, using the "marching cubes" algorithm. (all these terms are good for googling to find information and tools)
so there's two reasonably big parts that need to be done... if you can find a tool to convert a grid of data into a mesh (should be available somewhere), i can probably make you a program that will save such a file... it would be very slow, running maybe several days, but i don't need any memory while calculating it, only the storage on disk. well, you'll maybe have problems with the program that converts it to a mesh, but let's see first how that goes
About the step that you make grid to limit it into a finite loop of computing, depend if it reach the grid bound (sorry porbably I use wrong words/meaning here, I haven't study anything related to programing and almost forget math that I get in university
And you say it doesn't need any memory while calculating, how about CPU usage, does it need some? Storage on disk, that's fine (unless it take too large space for storage
And for something easy n comfortable, can you make some parameter that control grip size. Example when I start to let my PC calculating that 10243 grip data, and too long for waiting, then I want stop to try lower size, is it possible for me simply change some clear number or press some button? It's quite important 'cause my personal PC's weak for now.
works perfectly for me.. cheers!
can you not make more of it, pls ?
...
*sigh*
was too much in love with image
I would like to take a crack at a 3D render like that one day.
it's copper btw (measured reflectance data)
Nice reflections from the coloured walls.
the reflections on the wall are due to the laws of Physics rather than any plays of my own, thus i can't take credit for it!
And applied the laws of physics
I think some credit is yours?
Do you think, you could get caustics from something as complex as a 3D-fractal? I know, you somewhere already wrote that such things are extremely hard to do with infinite detail... But I'm certain, such a 3D-Mandelbrot would deliver amazing caustics, when it's made out of water
perhaps the code could be analysed and optimised with this kind of framework; it's extremely slow, which makes me want to pursue other approaches...
The interesting part with this 3D simulation is that it looks so smooth and round. All the 3D-simulations with solid bodies, I saw yet, where four-sided-radial-symmetric...
greetz
mat
greetz
mat