Mandelview : An alternative to the Mandelbulb

This 3D Mandy is a 3D equivalent to complex z^2+c and is based on the standard view transformation around 3 axes using the basic 2D angles. There is an important difference from the normal transform, in this case the signs of the sines in the 3 rotations match neither a right-handed nor a left-handed system, to me this is an indication that this is *the* true 3D Mandelbrot since a method that's neither left nor right handed effectively gives a secondary level of "imaginary".
I should add that both the XY and XZ 2D cross-sections are similar to the standard 2D Mandelbrot.
All the even powers greater than 2 also exhibit close to the "correct" cross-sections in both XZ and XY but the odd "powers" are a little .... different :)
For rendering information see the thread on "the search for the holy grail continues" at http://www.fractalforums.com/3d-fractal-generation/

Category:

Science & Technology

Tags:

• mandelview
• 3d
• mandelbrot
• fractal
• mandelbulb
• digital
• animation
• algorithmic
• ultrafractal

[faunflynn]

That's a very interesting object indeed.

Great post.

[MakinMagicFractals]

Thanks :)

I also tried changing the order of rotation to zyx instead of zxy and got another object (with appropriate adjustment of signs of sines) that had the correct cross sections for z^2+c but unfortunately it still had a problem with the odd powers and in addition for the higher even powers only one 2D slice was correct, so this is still the best I've found so far :)

[Truth0is0beauty]

Does it have fractal detail in cross sections through each dimention (appears to, but not easy to tell from video)?