Mixed Multibrots1

Download for 1280x960 resolution

This is the very first fractal I publish from the 16-dimensional Nonic parameter space. Let’s have a look at inzoomed 2D slice of this 16 dimensional monster starting from the right side and moving to the left.

First: The area to the very right belongs to non of the 8 subsets, M1 - M8. That is, if you pick up a parameter value from that area, the resulting Julia set would be Cantor dust.

Second: Now we pass the first fractal border and reach the subset M8. This fractal border has the shape of the border of the ordinary Quadratic Mandelbrot set. This is also guilty for the small island outside this border.

Third: when passing the second fractal border we arrive to the sets M5. M6, and M7, which completely coalesce in this 2D slice of the 16 dimensional monster. This border contains copies of the Quartic Mandelbrot set with enclosed disc-like regions attached to them.

Fourth: And finally when passing the third fractal border we arrive to the sets M3 and M4 which completely coalesce in this 2D slice of the 16 dimensional monster. This border contains copies of the Cubic Mandelbrot set. with enclosed disc-like regions attached to them.

There is nothing of the subsets M1 and M2 in this image. Below the plotted axis’ and the glidings along the other axis’,

*a_real = #pixel (horizontal)
*a_imag = 0
*b_real = 0
*b_imag = #pixel (vertical)
*c_real = 0.7
*c_imag = 0
*d_real = 0.7
*d_imag = 0
*e_real = 0
*e_imag = 0.7
*f_real = 0
*f_imag = 0.7
*g_real = 0
*g_imag = 0.7
*h_real = 0
*h_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 Greenseng. Of the 8 sets 6 are there. For that reason there is nothing that belongs to Nonic Connectedness Locus (NCL), that would be colored black.

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

Below the parameter file, play and have fun

MixedMultibrots1 {
fractal:
title="Mixed Multibrots1" width=640 height=480 layers=1
credits="Ingvar Kullberg;2/27/2011"
layer:
caption="NCL+SetBorders" opacity=100 method=multipass
mapping:
center=-1.20270477605/-2.00688891465 magn=21.73852
formula:
maxiter=500 filename="sp3.ufm" entry="NonicParameterspace3"
p_PlottedPlane="3.(a-real,b-imag)" p_M=NCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=0.0
p_creal=0.7 p_cimag=0.0 p_dreal=0.7 p_dimag=0.0 p_ereal=0.0
p_eimag=0.7 p_freal=0.0 p_fimag=0.7 p_greal=0.0 p_gimag=0.7
p_hreal=0.0 p_himag=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_xrote=0.0 p_yrote=0.0 p_xrotf=0.0
p_yrotf=0.0 p_xrotg=0.0 p_yrotg=0.0 p_xroth=0.0 p_yroth=0.0
p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=1000.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=4 transfer=linear
gradient:
smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
color=46591 index=300 color=156
opacity:
smooth=no index=0 opacity=255
}