UF formula Extended Compasses.

z -> z^d - da^(d-1) z + b

The exponent d = -3.65454654168845 + 0.4654564654654654i, the same exponent as in the “Ghost-zooms”- and “Shadows”-series. However here (the a-plane plotted) I’ve made use of the parameter “b” which is set to 0.1 + 0.1i.

In opposite to Weird Mandy [link] the head is as large as the body This phenomena also occurs for example in cubics and yet higher parameter spaces

No filters or postprocessing.

Below the parameter file. Play and have fun

WeirdMandy2 {
fractal:
title="Weird Mandy2" width=640 height=480 layers=1
credits="Ingvar Kullberg;5/2/2008"
layer:
method=multipass caption="Background" opacity=100
mapping:
center=0.402840909313/1.82234848535 magn=5.7391304
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses"
p_exponent=-3.65454654168845/0.4654564654654654
p_PlottedPlane="1.(a-real,a-imag)" p_hide=no p_areal=0.0 p_aimag=0.0
p_breal=0.1 p_bimag=0.1 p_xrot=0.0 p_yrot=0.0 p_xrott=0.0
p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100000
p_dbailout=1E-6
inside:
transfer=none
outside:
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
}