Fractal visionaries and enthusiasts: 

Today's unlikely scene came about when I mixed various parts of (1/Z), (Z), (Z^2) and Z^(-0.5) to produce a parent fractal almost beyond description.  This quirky mixture has critical points at 0.225... and -0.262...  Today's parent is the one that is created when Z is initialized to -0.262...

The closest I can come to describing this parent is to say it vaguely resembles half a Mandelbrot set split right across the middle and giving birth to a shapeless blob.  Today's scene is located in a valley on the west side of the blob.

This parent fractal is indeed critical.  This is confirmed by the intact M-set shaped minibrots that fill it.  But today's image shows open holes of a different sort.  These midgets, if they are minibrots at all, are shaped nothing like baby M-sets, they resemble something closer to stone-age arrowheads.  And as a few zoom-ins will show, they fill the scene.

I named the image "Flying Flinders", though I have no idea what might have just exploded and filled the air with the flinders.

The artistic value of the image rates a humble 5.  What more could I do for an image with so little going for it.  I rated the math aspect at a question mark because the formula has nothing really new in it.

But today's arrowhead minibrots are not all the parent has in it.  With so many widely varied areas, who knows what might turn up.  I'll give the parent a couple more good examinations before trashing it.

The calculation time of 3-3/4 minutes is slow because the scene lies rather deep in a valley, and also because the formula is a slow one.  Time may be saved by checking the finished image on one of the FOTD web sites.

After a foggy start, the afternoon turned perfect here at Fractal Central today, with photoshop blue skies, decorative cirrus clouds and a temperature of 72F 22C, which was right on the mark.  The fractal cat was more interested in the increasing number of pigeons than in the weather.  The humans took several glances at the weather, then turned to more human things.  The next FOTD will be posted whenever it is.  Until that magic moment arrives, and it could be as near as 24 hours, take care, and see you in the fractal shop soon.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Flying_Flinders    { ; time=0:03:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=ident passes=1
  center-mag=-0.407237276911/-0.005137093399/2406540\
  /1/-20/0 params=0.001/-1/0.5/1/1/2/0.2/-0.5/\
  -0.262049359699/0 float=y maxiter=2500 inside=0
  logmap=76 periodicity=6
  colors=000hzzdvzcsvcprdmmcjidhjefledmfcngbrfaof`lf\
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  jpVlqVmsUoYuXYuYZu__t`_ta }

frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }

END PARAMETER FILE=========================================