What to do with 1 million iterations?
I often like to return to the Mandelbrot set for inspiration and the new year seemed like a good time. Lately, I've been playing with high-iteration, but not-deep-zoom fractals--those which require a lot of iterations but at a reasonable magnification (deep zoom on Ultra Fractal kicks in around a magnification of 1E16). This gives me the chance to look at/for new structures and to do so without waiting days for the image to appear.
This is one of my explorations. It's based on the fraction 2/9, chosen to celebrate the year 2009. I like that there's very little "background" (black) in the image; it's almost completely filled in with structure. This can give you a sense of how the boundary of the Mandelbrot set has a fractal dimension of 2: as you zoom in, the structure of the boundary becomes so dense that it fills in an area. The zoom here is a paltry 24 million, but you can already sense the space filling in.
One other feature: the inside color is Mimosa, Pantone's Color of the Year for 2009 (242/181/11 in RGB space, as near as I can tell).
posted by Unknown @ 8:46 PM
2 comments
2 Comments:
This is a wonderful image and I just love the way that all the spaces seem to be filled by those nine point spirals.
I am stumped as to where you find images like this. Any clues as to the location?
Here's the upr:
jan01-e {
; Happy 2009; inside = Pantone's "mimosa"
fractal:
title="jan01-e" width=480 height=600 layers=1
credits="Kerry Mitchell;1/17/2009"
layer:
caption="Background" opacity=100
mapping:
center=0.331440891609/0.402891630356 magn=24400000 angle=40
formula:
maxiter=1000000 percheck=off filename="Standard.ufm"
entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=1e12
inside:
transfer=none solid=4294096139
outside:
transfer=linear filename="dec08.ucl" entry="smooth-tanh" p_power=2/0
p_bailout=1e12 p_mode=log p_density=0.15 p_minskip=0
gradient:
smooth=yes rotation=-50 index=150 color=16777215 index=-50 color=0
opacity:
smooth=no index=0 opacity=255
}
Post a Comment
<< Home