Download for 1280x960 resolution

This motive comes from the ten dimensional hexic (not heptic) parameter space [link] (see the linked journal).

*a_real = #pixel (horizontal)
*a_imag = #pixel (vertical)
*b_real = 0.5
*b_imag = 0
*c_real = 0.1
*c_imag = 0
*d_real = 0.1
*d_imag = 0
*e_real = -0.1
*e_imag = 0


The black area in the middle is (a 2D slice) of Hexic Connectedness Locus (HCL), the set for which ALL the six critical points has bounded orbits. The fractal border of HCL is formed as the union of M1 to the right and M5 to the left. Those sets are in turn situated in the middle of M2. M2 is also constituted of the Mandelbrot island visible to the right and the left. The big cubic Mandelbrot set, as well as small disconnected islands of the cubic minibrots (invisible without magnification) are built up of the sets M3 and M4 which completely coalesce in this slice.

Note: This motive is a one layer image drawn due to HCL + SetBorders visualizing all the sets in one layer.

No filters or post processing.

Below the UF parameter file. Play and have fun

CubeMandelBorder {
fractal:
title="CubeMandelBorder" width=640 height=480 layers=1
credits="Ingvar Kullberg;11/8/2009;Stig Pettersson;10/14/2009;Stig;2\
/2/2009"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=-0.242413871/0 magn=0.25782353
formula:
maxiter=5000 filename="sp3.ufm" entry="HexicParameterspace3"
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=0.5 p_bimag=0.0
p_creal=0.1 p_cimag=0.0 p_dreal=0.1 p_dimag=0.0 p_ereal=-0.1
p_eimag=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_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 rotation=-35 index=25 color=1513253 index=67
color=16777215 index=89 color=2302781 index=174 color=222 index=333
color=255 index=-52 color=2036777 index=-28 color=16777215
opacity:
smooth=no index=0 opacity=255
}