A new look into escapetime fractals using abs & inner coloring

[subblue]

This is fun! Exp. smoothing really is great for revealing interesting features

These are -1 power abs julias:





For the following two I tweaked the Exp. smoothing to take the iteration max. of the difference between the magnitudes of z:

Code:

m0 = m;
m = length(z);
float diff = abs(m0 - m);
m1 = max(diff, m1);
idx += exp(-1.0 / m1);

To reveal a different structure:

[kram1032]

What is it with fractal checkerboards lately? And why aren't there any pieces on them yet?

[Syntopia]

Although not very well-documented, Fragmentarium also does exponential smoothening in its Progressive2DJulia.frag. Just set ColoringType=1.

A couple of weeks ago, I explored this little system with exp. smoothening:


(Is Latex broken?)





Code:

Code:

#include "Progressive2DJulia.frag"

uniform float Scaling; slider[-5,3,5]
vec2 formula(vec2 z,vec2 c) {
	vec2 z2 = vec2(z.x*z.x-z.y*z.y, 2*z.x*z.y);
	z =z2/dot(z2,z2)*Scaling;
	return z+c;
}

[Alef]

If you are interested, I tried to unite all the possible modifications in E++ Exponent smoothing in UF. Say you can use -e or some other exponent base. This one looks like Fractal Explorer colour methods.

Code:

Fractal2 {
fractal:
  title="Fractal2" width=640 height=480 layers=1
  credits="Asdam;10/22/2012"
layer:
  caption="Background" opacity=100
mapping:
  center=-0.9299999623/0.5341666628 magn=5.3973016
formula:
  maxiter=30 percheck=off filename="em.ufm" entry="Kalisetes_Sefirii"
  p_equation="1- kaleido Kaliset j" p_bailout=777000 p_settype=Julia
  p_switchsettype=Mandelbrot p_julia=-0.475/0.65 p_D=1
  f_func_post=flip p_scale=1/0 p_vectype=None p_vfactor=-0.31/-0.41
inside:
  transfer=linear filename="em.ucl" entry="E++ExpSmoothting"
  p_posneg=0/0 p_iternum=7770000 p_expdim=no p_darkness=0.9
  p_calculation="Mandelbrot type" p_exponentype="Free exponent"
  p_base=-2/2 p_prefn="1 None" p_postfn="1- None"
outside:
  transfer=linear filename="Standard.ucl" entry="Default"
gradient:
  comments="My favorite and my original creation." smooth=yes index=0
  color=15202559 index=66 color=4194432 index=133 color=15202559
  index=199 color=4618495 index=266 color=1646882 index=332
  color=55717
opacity:
  smooth=yes index=50 opacity=255 index=100 opacity=255 index=200
  opacity=255 index=302 opacity=255 index=376 opacity=255
}