FractalMonster on DeviantArthttp://creativecommons.org/licenses/by-nc-sa/3.0/https://www.deviantart.com/fractalmonster/art/Golden-Island-183649732FractalMonster

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Golden Island

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A 2D slice of the 12-dimensional :omg: :faint: heptic parameter space.

Below the plotted axis’ and the movements along the other axis’,

*a_real = #pixel (horizontal)
*a_imag = #pixel (vertical)
*b_real = 0.52
*b_imag = 0
*c_real = 0.52
*c_imag = 0
*d_real = 0.52
*d_imag = 0
*e_real = 0.52
*e_imag = 0
*f_real = 0.52
*f_imag = 0


The contours drawn with respect to the sets present in this section is in one layer using the technique of SetBorders developed and programmed of the formula writer Stig Pettersson. Of the six sets, the sets M2 - M5 forms the boundary having 11 cusps that would be the main component of the 12th degree Mandelbrot set. But in fact the buds are of the Pentic Mandlebrot set, and so the filaments and the island floating outside the coast. Of the two inner sets the one to the right, together with the black bug, is the set M1, and the one to the left, together with the black bug, is the set M6. The blsck bud in the middle is the part which is common to ALL the six sets (M1 - M6), that is the black part belongs to Heptic Connectedness Locus (HCL). Parameter seeds taken from inside that set give rise to connected Heptic Julia sets.

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 :)

GoldenIsland {
fractal:
title="Golden Island" width=640 height=480 layers=1
credits="Ingvar Kullberg;10/18/2010"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=-1.0567320795/-0.0369614585 magn=0.37908304
formula:
maxiter=1000 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=0.52 p_bimag=0.0
p_creal=0.52 p_cimag=0.0 p_dreal=0.52 p_dimag=0.0 p_ereal=0.52
p_eimag=0.0 p_freal=0.52 p_fimag=0.0 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:
transfer=arctan filename="spr.ucl" entry="ContinousPotential"
p_auto=no p_auton=2.0 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=74 index=38 color=17919 index=97 color=62945
index=148 color=2170435 index=198 color=65530 index=227 color=329215
index=290 color=11075591 index=374 color=32
opacity:
smooth=no index=0 opacity=255
}
Image size
1280x960px 864.64 KB
Comments10
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Moodlight14's avatar
Wow!! very hypnotic, amazing image, well above the rest! :)