FractalMonster on DeviantArthttp://creativecommons.org/licenses/by-nc-sa/3.0/https://www.deviantart.com/fractalmonster/art/Penticbrot-in-Heptics-148798954FractalMonster

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Penticbrot in Heptics

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This motive is a deep in-zoom in the straight upper dot in the previous deviation Ferry on the Golden Sea [link] .
The motive comes from a 2D slice of the 12-dimensional :omg: :faint: heptic parameter space [link]

*a_real = #pixel (horizontal)
*a_imag = #pixel (vertical)
*b_real = 0
*b_imag = 0
*c_real = 0
*c_imag = 0
*d_real = 0
*d_imag = 0
*e_real = 0
*e_imag = 0
*f_real = 0
*f_imag = 0.5

The pentic minibrot and ALL the structures belong to the completely coalescing sets M2 = M3 = M4 = M5.

Instead of the basic coloring (coloring according to the number of iterations) a evaluated form called Continius Potential Method (CPM) is used. This method produces continues slopes around the sets instead of discrete plateaus.

Ultra Fractal, formula Heptic 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]

Below the parameter file, play and have fun :

PenticbrotInHeptics {
fractal:
title="Penticbrot in Heptics" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/1/2010"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=0/2.57653270257723 magn=145928.8
formula:
maxiter=5000 filename="sp3.ufm" entry="HepticParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=HCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=0.0
p_creal=0.0 p_cimag=0.0 p_dreal=0.0 p_dimag=0.0 p_ereal=0.0
p_eimag=0.0 p_freal=0.0 p_fimag=0.5 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_xrotu=0.0 p_yrotu=0.0 p_xrotv=0.0
p_yrotv=0.0 p_xrotr=0.0 p_yrotr=0.0 p_xrots=0.0 p_yrots=0.0
p_xrota=0.0 p_yrota=0.0 p_xrotb=0.0 p_yrotb=0.0 p_xrotc=0.0
p_yrotc=0.0 p_xrotd=0.0 p_yrotd=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=0.25 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=1.5 p_n=1.0
p_numfact=1.0 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=2.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-29 index=45 color=2170435 index=65 color=65535
index=113 color=1535 index=182 color=15335546 index=251 color=32
index=-27 color=17749 index=-6 color=62720
opacity:
smooth=no index=0 opacity=255
}
Image size
1280x960px 474.27 KB
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:wave:
you've been featured in my journal
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