Ultra Fractal, formula Pentic Parameterspace3, can be downloaded from [link] .

In this image from the eight dimensional pentic parameter space there are hardly any beauty. I’ve upload it under scraps in order to be referred to from the uploads, [link] , and [link] . The standard setup of parameters is used, that is z -> z^5 + 5/3[ab + ac + bc - (a + b + c)^2]z^3 - 5/2[abc - (ab + ac +bc)(a + b + c)z^2 - 5[abc(a + b + c)]z + d, critical points z = a making the set M1, z = b making the set M2, z = c making the set M3, and z = -(a + b + c) making the set M4.

*a_real = #pixel (horizontal)
*a_imag = 0.2
*b_real = #pixel (vertical)
*b_imag = 0.2
*c_real = 0.2
*c_imag = 0.2
*d_real = 0.2
*d_imag = 0.2

The black part shows a part of a 2D-slice of Pentic Connectedness Locus (PCL ), the part which is common for all the four subsets (M1, M2, M3, and M4).

Below the parameter file. Play and have fun

PCL {
fractal:
title="PCL" width=640 height=480 layers=1
credits="Ingvar Kullberg;6/19/2007"
layer:
method=multipass caption="PCL" opacity=100
mapping:
center=-1.1518741678/0.745547584065 magn=2.2447926
formula:
maxiter=1000 filename="SP3.ufm" entry="PenticParameterspace3"
p_PlottedPlane="2.(a-real,b-real)" p_MCL p_SetBorders=no
p_hide=yes p_areal=0.0 p_aimag=0.2 p_breal=0.0 p_bimag=0.2
p_creal=0.2 p_cimag=0.2 p_dreal=0.2 p_dimag=0.2 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_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0
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
}