Deviant Login Shop  Join deviantART for FREE Take the Tour
×



Details

Submitted on
October 19, 2010
Image Size
923 KB
Resolution
960×1280
Link
Thumb
Embed

Stats

Views
1,144
Favourites
88 (who?)
Comments
83
Downloads
36

License

Creative Commons License
Some rights reserved. This work is licensed under a
Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
×
To the Honor of Mandelbrot by FractalMonster To the Honor of Mandelbrot by FractalMonster
Download for 960x1280 resolution

This fractal image a gave him as a small frame when he visited Lund (a university town in the south of Sweden) in the autumn 2002. No he is died, see my journal [link] :( The motive is 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 = 0.3
*a_imag = 0
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

M+ and M- are plotted in separate layers. The color map in both layers is one of the standard maps incuded in UF.

No filters or post processing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules,
as well as mine can be downloaded from [link]

More info about Cubics can be found at my Cubic Tutorial [link] and the
"cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun :)

ForMandelbrot {
fractal:
title="For Mandelbrot" width=480 height=640 layers=2
credits="Ingvar Kullberg;10/19/2010"
layer:
caption="M-" opacity=46 method=multipass
mapping:
center=-0.410894096536518734/0.641319444444444444 magn=88.6154
formula:
maxiter=10000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.3 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=0 color=9043968 index=69 color=3158085 index=150
color=14736366 index=302 color=675176
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=100 method=multipass
mapping:
center=-0.410894096536518734/0.641319444444444444 magn=88.6154
formula:
maxiter=10000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.3 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=0 color=9043968 index=69 color=3158085 index=150
color=14736366 index=302 color=675176
opacity:
smooth=no index=0 opacity=255
}
Add a Comment:
 
:iconmerearthling:
merearthling Featured By Owner Apr 27, 2013
fascinating stuff:-)
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Apr 27, 2013
Yeah, 2 related subsets :)
Reply
:iconmerearthling:
merearthling Featured By Owner Apr 27, 2013
ah I see I like the asymmetry
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Apr 27, 2013
Symmetry ^^;
Reply
:iconmerearthling:
merearthling Featured By Owner Apr 28, 2013
:-o in terms of how the image fills the picture plane its asymmetric, surely?
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Apr 28, 2013
Yeah, I maybe misunderstood you ;)
Reply
:iconmerearthling:
merearthling Featured By Owner Apr 28, 2013
:-) no problem
Reply
:iconteamplop:
TeamPLOP Featured By Owner Jun 26, 2012
Wow this one is so in depth. Love it
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Jun 26, 2012
Thank you :) It a twelve years old timer :D
Reply
:iconcrida:
Crida Featured By Owner Apr 21, 2012  Hobbyist General Artist
That's a beautiful colour combination! ;)
Reply
Add a Comment: