Brot-missile

Download for 1280x960 resolution

This motive is drawn with an alternative parametrizing of the cubic parameter space, z -> z^3 + az^2 + bz. Here the critical points becomes z = +sqrt (-a/3) and z = sqrt (-a/3).

*a_real = #pixel (horizontal)
*a_imag = 0
*b_real #pixel (vertical)
*b_imag = 0.1

Both the sets M+ and M- are displayed, one set in each layer.

Ultra Fractal. No filters or post processing

Below the parameter file, Play and have fun

Brot-missile {
fractal:
title="Brot-missile" width=640 height=480 layers=2
credits="Ingvar Kullberg;2/8/2009"
layer:
caption="M-" opacity=71 mergemode=blue method=multipass
mapping:
center=0/0 magn=0.7
formula:
maxiter=1000 percheck=off filename="ik3.ufm" entry="DevaneyIICubic3"
p_PlottedPlane="2.(a-real,b-real)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.0 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=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=9 color=657930 index=48 color=16777205 index=104
color=655360 index=142 color=16724058
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=100 method=multipass
mapping:
center=0/0 magn=0.7
formula:
maxiter=1000 percheck=off filename="ik3.ufm" entry="DevaneyIICubic3"
p_PlottedPlane="2.(a-real,b-real)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.0 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=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=9 color=327680 index=40 color=15794175 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}