Re: Deep Zoom on Mandelbrot set


>"Going Down" > http://tinyurl.com/9muj9

Richard wrote:

> What's the coloring scheme on this? It looks like a potential height
> field rendering.

Very likely, this was rendered using Damien Jones's "Slope Mandelbrot"
formula in Ultra Fractal. I selected "Potential" to construct the height value.
(More details copied from the public formula database below.)

ps. Here's a just visible midget at 10^37 http://tinyurl.com/94uj7
using "Distance Estimator" to construct a height value.

Rupert.


dmj-SlopeMandel {
;
; This is the Mandelbrot set, but the calculations
; are modified so that z contains a surface normal
; to the set instead of the orbit value.

dmj-Light {
;
; This coloring method expects a surface normal in z
; and performs lighting for that point. This is best
; used with the "Slope" family of formulas, which
; provide exactly the information expected by this
; coloring method.
;
; Surface normals are 3D vectors with a length of 1.
; So while only two components of this vector can be
; passed through a complex number, the third can be
; derived by sqrt(1-sqr(real)-sqr(imag)). The full
; vector gives the orientation of a 3D surface, which
; is needed to calculate lighting. Note that this is
; an *extremely* simple lighting model; to do a more
; accurate lighting model would require more parameters
; from the fractal formula (such as a position in 3D
; space).




.