deviant art

Deviant Login Shop  Join deviantART for FREE Take the Tour
[x]
Shop Similar Prints
This Print Not Available
Download Image
JPG, 1960×1470
more ▶

More from *FractalMonster

Featured in Groups:

Details

January 18
2.7 MB
1960×1470
Link
Thumb

Statistics

Comments: 53
Favourites: 36 [who?]

Views: 191 (0 today)
Downloads: 5 (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 1960x1470 resolution

This is a 3D-section of the four dimensional cubic parameter space (the iteration formula is z -> z^3 - 3a^2 z + b), the axis a_real pointing into the fourth dimension, the 3D-slice is performed at a_real = 0.6. The red set is a part of M+, the grey set of M-. The motive is somewhat rotated.

More about cubics can be read about in my Cubic Tutorial and Short about drawing pictures of cubic parameter space. So also in my Chaotic series.

The image is rendered using a special module for Ultra Fractal, the module written by my very dear friend Greenseng her on dA. All his modules, as well as mine can be downloaded from here. Resized 6400x 4800. Small color adjustments is performed. All this postprocessing by Photoshop.

Below the parameter file Play and have fun :)

InteractingSnakes {
fractal:
title="Interacting Snakes" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/7/2013"
layer:
caption="Layer 1" opacity=100
mapping:
center=0/0 magn=0.7
formula:
maxiter=50 percheck=off filename="spr.ufm" entry="RayTrace"
p_formula=Cubic p_fourthdim="a-real or zr" p_fourthvalue=0.6
p_zorig=0 p_zinit=Both p_view=3-dim p_background=outside
p_touchscreen=yes p_cr=0 p_ci=0 p_cj=0 p_ck=0 p_br=0 p_bi=0 p_bj=0
p_bk=0 p_xrot=-5 p_yrot=-5 p_zrot=0 p_local=yes p_lightx=3
p_lighty=-2 p_lightz=-6 p_zscreen=640 p_zdist=4 p_zmagn=no
p_autoscale=no p_prec=20 p_delta=1 p_bailout=100
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="Raytrace"
p_gradient="Four gradients" p_scale2d=0.24
gradient:
smooth=no index=0 color=0 index=80 color=1382154 index=96
color=10115632 index=100 color=16 index=135 color=1063504 index=199
color=1409279 index=200 color=659456 index=299 color=15063797
index=300 color=655360 index=301 color=8413184 index=327
color=16773360 index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}
Add a Comment:
 
love 2 2 joy 0 0 wow 2 2 mad 0 0 sad 0 0 fear 0 0 neutral 0 0
:iconkrovavaya:
~Krovavaya Feb 11, 2013  Hobbyist Photographer
I like this art**
Reply
:iconfractalmonster:
You like fractals :wow: BTW, have you heard about fractals before?
Reply
:iconkrovavaya:
~Krovavaya Feb 11, 2013  Hobbyist Photographer
Of course I've heard of them Оо
Reply
:iconfractalmonster:
OK :) Then maybe you would appreciate my Chaotic series of fractal articles (<- click) 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:

.. and from the middle of the nineties there is a fantastic TV program about fractals, Colors of Infinity by Arthur Clarke :)
Reply
:iconsugaree33:
*Sugaree33 Feb 9, 2013  Hobbyist Photographer
I like how you put all the math etc. here underneath your work, I noticed #UndeadAcademy [link] does that too. I really overlooked the power that comes from this piece.
Reply
:iconfractalmonster:
Yeah, he puts the parameter file for Mandelbulber in his comment so anyone having Mandelbulber can run the file :)
Reply
:iconsugaree33:
*Sugaree33 Feb 9, 2013  Hobbyist Photographer
Oh you don't get along with him?
Reply
:iconfractalmonster:
Of cause I do, we have the same will to share :) But have not download and tried Mandelbulber yet ;)
Reply
:iconsugaree33:
*Sugaree33 Feb 10, 2013  Hobbyist Photographer
Sorry, did not mean to insult your diplomatic status, lol :)
Reply
:iconfractalmonster:
Really not as an insult ^^;
Reply
Add a Comment: