deviant art

Deviant Login Shop  Join deviantART for FREE Take the Tour
[x]
Shop Similar Prints
This Print Not Available
Download Image
JPG, 1280×960
more ▶

More from *FractalMonster

Featured in Groups:

Details

March 28, 2012
679 KB
1280×960
Link
Thumb

Statistics

Comments: 17
Favourites: 29 [who?]

Views: 219 (0 today)
Downloads: 10 (0 today)

License

Creative Commons License
Some rights reserved. This work is licensed under a
Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
[x]
:iconfractalmonster:
Download for 1280x960 resolution

This is another deep in-zoom the earlier deviation The Dark Secret of the Cave. That is it’s a magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = #pixel (vertical)
*a_imag = 0.01
*b_real = 0
*b_imag = #pixel (horizontal)

This section is entirely inside the set M+, so it’s only drawn with respect to M-. That means that all the entirely black components belong to Cubic Connectedness Locus (CCL), the full analogy to the Mandelbrot set for cubic polynomials.

Software: Ultra Fractal.
Color routine: Continuos Potential Method (CPM).
Formula: Cubic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded here.

Below the parameter file, play and have fun :)

GothBaby2 {
fractal:
title="Goth Baby2" width=640 height=480 layers=1
credits="Ingvar Kullberg;3/29/2012"
layer:
caption="M- (=CCL)" opacity=100 method=multipass
mapping:
center=0.81557247273044703/0.0008559047217041964805 magn=1.3420302E8
angle=270
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="3.(a-real,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.01 p_breal=0.0 p_bimag=0 p_xrot=0 p_yrot=0
p_xrott=0 p_yrott=0 p_zrot=0 p_LocalRot=no p_diff=no p_bailout=100
p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="ContinousPotential"
p_auto=yes p_auton=2.0 p_n=10.0 p_numfact=10.0 p_scale=1.0
p_smooth=no p_epsilon=0.5 p_illustr=no p_limiton=no p_limit=0.1
p_index3=0.0 p_index1=0.99 p_index2=0.0 p_speed=0.5 p_acc=1.0
p_clog=yes p_power=3.0 p_reversed=no p_test=no p_testvalue=0.7
p_index4=0.29
gradient:
smooth=yes rotation=97 index=54 color=2104433 index=137
color=15794175 index=149 color=1907744 index=200 color=16769279
index=383 color=2437119
opacity:
smooth=no index=0 opacity=255
}
Add a Comment:
 
:icon2bsued:
*2BSued May 9, 2012  Hobbyist Photographer
MMMM very cool!
Reply
:iconfractalmonster:
:aww: Thank you :) Glad you like any of my raw fractals :wow: BTW, have you heard about fractals before?
Reply
:icon2bsued:
*2BSued May 9, 2012  Hobbyist Photographer
yup :)
Reply
:iconfractalmonster:
Then maybe you would appreciate my Chaotic series of fractal articles if you have a little theoretical interest ;)

Regarding deep zooms in the Mandelbrot set, if you check out my deviation Cauliflowerfort and click the link under "Artist's Comments", from page 4 you can follow the entire zoom sequence in 28 steps :wow:
Reply
:icongreenseng:
The Queen of Darkness can sometimes be so charming. :relaxed:

:ekud:
Reply
:iconfractalmonster:
Yeah, especially with a little bit dark blood flowing out from the baby ;)
Reply
:iconbeyzayildirim77:
~beyzayildirim77 Mar 29, 2012  Student Digital Artist
wonderful work.......!!!!!
Reply
:iconfractalmonster:
Thanks, glad you like it :aww:
Reply
:iconbeyzayildirim77:
~beyzayildirim77 Mar 30, 2012  Student Digital Artist
You're welcome my friend!:)
Reply
:iconundeadl-no:
~UndeadL-No Mar 29, 2012  Hobbyist General Artist
Great job!!! It's kinda mystical in a way. If you get what I mean... I really like it :D
Reply
Add a Comment: