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Poison around the Mandy by ~FractalMonster:iconFractalMonster:


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Submitted: March 9, 2008
File Size: 579 KB
Image Size: 579 KB
Resolution: 1024×768
Comments: 22
Favourites & Collections: 14 [who?]

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Artist's Comments

This is the same mandy as in Figure 6 in my article 22) Rotations in 4D-space [link] in my Chaotic series [link] . The motive also occur at the cubic part of my site [link] as “3) The birth of the mystery in the cave” [link] . The deviation Dark Flames from my Sword [link] is the spike of this mandy.

Magnification of 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 = 0.6
*a_imag = 0
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

Only M+ plotted, the motive being entirely inside M-.

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 :)

PoisonAroundTheMandy {
fractal:
title="Poison around the Mandy" width=640 height=480 layers=1
credits="Ingvar Kullberg;3/10/2008"
layer:
method=multipass caption="M+" opacity=100
mapping:
center=-0.41718937006615025/0.1322514697759307 magn=575513.47
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.6 p_aimag=0 p_breal=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:
density=2 transfer=linear filename="sp.ucl" entry="Basic2" p_up=0.0
p_down=350 p_lp=3.0 p_lk=2.0 p_noblurr=yes p_p=1.0 p_k=0.01
p_hightrap=0.0 p_lowtrap=0.0 p_mask=no p_solid=yes p_colindex=0.0
gradient:
comments="Kerry Mitchell/n /nrainbow gradient with green negated"
smooth=yes rotation=-133 index=30 color=127 index=80 color=16638
index=133 color=2606591 index=176 color=1188132 index=194
color=7281894 index=216 color=4263669 index=285 color=283815
index=299 color=1115391 index=321 color=2593025
opacity:
smooth=no index=0 opacity=255
}
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Comments


I'm convinced each minbrot that is not alinged with the Real axis is at least slightly crooked, seeing as how their barriers appear to be more symmetric with respect to point than with respect to a line.

--
EVERYTHING IS FRACTAL.
ALL THINGS ARE FRACTAL
~~
! Wii Code: 3086~3359~9386~4067
! Smash Bros. Brawl code: 4553~9703~7706
~~
YouTube: [link]
Wow, pretty! 83 Is that going into that Mandelbrot I posted, the inverse of the 'Hypercomplex Julia'? 8D

--
'You want to know how the universe began? That question makes no sense and has no point! The brain knows so much, there will always be an unsolvable mystery, and to that forms the basis of religion.'
Thanks Chris :) No, I don't think so. This one comes from cubic parameter space. You can run the parameter file and zoom out ;)

--
Regards,
Ingvar
[link]
Some are, But the majority (like this one) are every harmonic (I think) ;)

--
Regards,
Ingvar
[link]
xD Okay then! =3

--
'You want to know how the universe began? That question makes no sense and has no point! The brain knows so much, there will always be an unsolvable mystery, and to that forms the basis of religion.'
.... du kan glömma poesin till den här - Mandy pratar visst för sig själv :D

--
Just going to warn you: I talk a lot, and my internet connection is really slow - so conversations might take some time ^^
Mandy pratar alltid för sig själv;) Förutom att prototy-mandy går igen i sina detaljer, finns det en massa mandys i en stor mängd andra fraktaler, d v s som genereras av iteration av många andra funktioner när parameter-planen plottas

--
Regards,
Ingvar
[link]
Thank you :) It's rather simple structures. However using the "original color scheme in my old Mac produced image [link] I find the motive very calming ;)

--
Regards,
Ingvar
[link]

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