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Description
Magnification in a 2D-slice of the eight dimensional pentic parameter space using the standard form of setup 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 (vertical)
*a_imag = 0
*b_real = 0
*b_imag = 0
*c_real = 0
*c_imag = 0
*d_real = 0
*d_imag = #pixel (horizontal)

M1 = M4 plotted, the motive being entirely insid M2 = M3 represents Pentic Connectedness Locus (PCL), the set which is common to all 4 subsets. The motive is rotated 90 degrees (under Location tab) to the left.

For further comments, see my journal Tricorns in pentic parameter space [link]

Below the parameter file, play and have fun

DesertMonster {
fractal:
title="DesertMonster" width=640 height=480 layers=1
credits="Ingvar Kullberg;6/15/2007"
layer:
method=multipass caption="M1=M4CL" opacity=100
mapping:
center=1.13356070265/0 magn=18 angle=270
formula:
maxiter=10000 filename="SP3.ufm" entry="PenticParameterspace3"
p_PlottedPlane="7.(a-real,d-imag)" p_M=M1 p_SetBorders=no 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_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=26 color=327680 index=43 color=12300974 index=52
color=851968 index=96 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}

Description
Magnification in a 2D-slice of the eight dimensional pentic parameter space using the standard form of setup 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 (vertical)
*a_imag = 0
*b_real = 0
*b_imag = 0
*c_real = 0
*c_imag = 0
*d_real = 0
*d_imag = #pixel (horizontal)

M1 = M4 plotted, the motive being entirely insid M2 = M3 represents Pentic Connectedness Locus (PCL), the set which is common to all 4 subsets. The motive is rotated 90 degrees (under Location tab) to the left.

For further comments, see my journal Tricorns in pentic parameter space [link]

Below the parameter file, play and have fun

DesertMonster {
fractal:
title="DesertMonster" width=640 height=480 layers=1
credits="Ingvar Kullberg;6/15/2007"
layer:
method=multipass caption="M1=M4CL" opacity=100
mapping:
center=1.13356070265/0 magn=18 angle=270
formula:
maxiter=10000 filename="SP3.ufm" entry="PenticParameterspace3"
p_PlottedPlane="7.(a-real,d-imag)" p_M=M1 p_SetBorders=no 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_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=26 color=327680 index=43 color=12300974 index=52
color=851968 index=96 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}