Fractal visionaries:

It has been suggested that I attach the binary GIF files of my fractals to my F.O.T.D. postings.  I have just re-read the Fractal-Art charter, and it says absolutely no binaries.  If I began posting binaries, Jon would likely hang me, shoot me, behead me, draw and quarter me -- and then get nasty.

The problem is that binaries, when UUE encoded, soak up far too much bandwidth.  They can easily run over 1mb in size.  And Aros.net does not seem to be the most up-to-date, state-of-the-art ISP.  They're having trouble keeping track of the small text files that are posted to this group.  If they were flooded with multi-megabytes of fractal images, they'd probably dry up and blow away.

But although I doubt if I could post GIF's to the group, I'd be willing to E-mail them individually to a reasonable number of people who request them and can't pick them up anywhere else.  The images are not copyrighted, not yet at least.  But I'm seriously considering gathering the continuing F.O.T.D. writings into a book about the world of fractals and fractal art.

Now on to today's fractal.  As promised yesterday, it is a scene in the Z^2+(0.2*Z^3) mandeloid.  This fractal is unusual not only in the number of bays and the variety of features, but also in that the image of its true XY plane is perfectly mirrored in the perturbed XY plane with a starting point of 3.70371+0i.

We're all familiar with Mandelbrot midgets.  They're lurking everywhere.  I suspect that every point of the X-axis from 0.25 to -2.0 would prove to be in the interior of a midget if only we could search deeply enough.  Today's midget turned up when I added 20 percent of the Z^3 M-set to the Z^2 set.

I named the picture "Holey" because it's filled with holes.  The midget is floating in a sea of Julia-like holes, in fact, it's riddled through and through with holes.  There are some very interesting images in the Seahorse Valley area, is anyone wishes to search for them.  At this time, I'm too busy with the julibrot odd planes to do much exploring of this very unusual scene.

Today's finished image has been posted to a.b.p.f. and a.f.p. for those who can pick it up there.  Tomorrow, I'll return to the julibrot odd planes, where I've got a surprise or two waiting.

Jim Muth
jamth@mindspring.com


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