Bifunctional Mset

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Post from danwills about BurningShip in UF

Nice one Mark :D that's awesome!

Are we seeing some reasonably dense coverage of the domain of all possible simple complex-valued formula perhaps?

heh.. I think we'd probably be fooling ourselves if we thought that, but then I did say 'simple' ;D.

It sounds like "burning ship" could be thought of as a double-abs'd mandel, would that be a fair way to put it? I should really try to get my head around more formula code, especially since it's all there in plain text  ;) .

thanks for your awesome contributions Mark! :D dan

Mark's Response

Hi all,

After looking at the code on that DeviantArt web site I realized that it was a simple generalization of the Mandelbrot set and thought it's possible that it had already been done in UF by chance. In fact I looked through my own formulas to see if I'd done it. Not quite, but my Bifunctional formula shows the Burning Ship fractal if both functions are set to abs...

Mark Townsend

BifunctionalBurningShip {
fractal:
 title="Bifunctional Burning Ship" width=640 height=480 layers=1
 credits="Mark Townsend;6/24/2008"
layer:
 method=multipass caption="Background" opacity=100
mapping:
 center=-1.7485677084/-0.0344010416685 magn=30.802139 angle=180
formula:
 maxiter=100 filename="mt.ufm" entry="mt-bifunctional-m" p_n=2.0
 p_bailout=1000.0 f_fn1=abs f_fn2=abs
inside:
 transfer=none
outside:
 transfer=linear filename="mt.ucl" entry="mt-disk-plasma"
 p_coloring=Plasma p_r=2.0 p_doffset=0/0 p_octaves=7
 p_persistence=0.5 p_scale=1.0 p_offset=0/0 p_solid=no f_fn1=ident
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
}