Hi all,

Just playing:



Hope you like it.
This 4D number format seems to produce much more interesting results than quaternions, hypercomplex or Julibrots - at least for the Mandelbrot form, I haven't tried the Julias properly yet.

For those who've missed it here's the 4D number system:

http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/msg7235/#msg7235

Well it may be closer but I think that most folks will consider using solid on orbit trapping rather than solid on iteration (or iteration density or distance estimator) as cheating

you are the coder!, you define what "inside" means ... normally for quaternions you take those numbers as inside who converge ( never leave iteration loop )
but you are free to use any volume function you like, so, you can use an orbit trap method whilst iterating, and decide by the result of that trap if the point is "in" or "out"
for those types of objects one would use a range of values rather than a single point for the volume definition ...
 

got it ?

think of it as a layered mandelbrot ( with certain colors completely transluent )

but what you need is a surface ... i do not know any program which could easily extract a surface from a complex iterative 3d function and export an object, perhaps if you kindly ask david for a mesh