Dragons Dance at Midnight

This motive has a somewhat other name (Moonlight at Loch Ness) on my fractal site. However this name is the original one If you like this deviation, please check out "Ghost-galaxy" [link]

Magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = 0.4
*a_imag = #pixel (horizontal)
*b_real = 0
*b_imag = #pixel (vertical)

However the plotted plane is rotated about 44 degrees to the right.

Both M+ and M- plotted in separate layers.

No filters or postprocessing except anti-aliasing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from [link]

More info about Cubics can be found at my Cubic Tutorial [link] and the "cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun

Dragon'sDanceAtMidnight {
fractal:
title="Dragon's Dance at Midnight" width=640 height=480 layers=2
credits="Ingvar Kullberg;11/26/2007"
layer:
method=multipass caption="M-" opacity=100 mergemode=blue
mapping:
center=0.129806699687399167/0.758953561042243275
magn=373.773782908244742 angle=43.8788
formula:
maxiter=25000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M- p_SetBorders=no p_hide=yes p_areal=0.4 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=100.0
p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=9 color=327680 index=30 color=15400959 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.129806699687399167/0.758953561042243275
magn=373.773782908244742 angle=43.8788
formula:
maxiter=25000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M+ p_SetBorders=no p_hide=yes p_areal=0.4 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=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
}