Alien Channels

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Still playing with the Compass formula (z - > z^d – da^(d-1) z + b, the a-plane plotted and “b” fixed to zero). The exponent “d” is this time put to 2i (0 + 2i). This is another example of the weird forms and mystical phenomena that non rational exponents give rice to Often a very huge bailout (=escape radius squared) is required in order to not have any cut off. In this case the channels may be diminished if one increase the bailout. In this case also the parent fractal seems to be grow greater as the bailout increases. In fact this motive is a result of an out-zoom instead of an in-zoom. As usual one always find small mandys (copies of the ordinary quadratic Mandelbrot set), more or less distorted. Many such are visible in this image

The motive is drawn using the formula “Extended Compasses” for Ultra Fractal. For more info of this formula, see my journal Fractal Compasses [link] .

No filters or post processing

Below the parameter file. Play and have fun

AlienChannels {
fractal:
title="Alien Channels" width=640 height=480 layers=1
credits="Ingvar Kullberg;8/7/2009"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=-0.0252517/3.1628775 magn=0.0098019867
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=0/2
p_PlottedPlane="1.(a-real,a-imag)" p_hide=yes p_areal=0.0
p_aimag=0.0 p_breal=0.0 p_bimag=0.0 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=12065792 index=56 color=16121855 index=169
color=46591 index=300 color=156
opacity:
smooth=no index=0 opacity=255
}