Fractal visionaries:

After yesterday's almost shy undersea fractal, today's 7-minute picture is a real extrovert, shamelessly showing off its gaudy colors and shapes for the whole world to see.  I named it "mosaic" because it reminds me of those wonderful old Moorish tilings adorning The Alhambra.  But no man ever tiled a floor or wall with a pattern like this.

The picture is actually part of the Julia set of the Z^-1.667 mandeloid, which I'm currently exploring with a formula I've written.  I'm finding scenes unlike anything I've seen, and I'll be posting a few in the near future.  But for tomorrow, I think I'll share a Newton's fractal.  I don't recall having yet posted a single Newton's image.

I've noticed that the world of fractal formulas is a lot like the world of scientific research, where several researchers sometimes independently make the same discovery at the same time.  It seems as though every time I think I've found some thing new, I see someone who has been doing it before.  Fractal formulas sometimes seem to be out there ready for discovery, and like America, if one person doesn't discover them, another person soon will.

Today's image as always is posted to a.b.p.f. and a.f.p.  Since it runs under the julzpower formula, no formula file is attached.

Jim Muth
jamth@mindspring.com


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