Fractal visionaries:

My Fractal of the Day series seems to have taken on a life of its own.  You can imagine my surprise when I returned from my short break and checked my mailbox only to find the F.O.T.D. 29-06 waiting.  Lee did a fine job in my absence.  The image itself is most interesting.  It took about an hour to draw a 1024x768 version at 100mhz, but it was worth the effort.

I can see why Lee named his picture "Land of the Lost".  It reminds me of a view from high overhead of a devastated area, with smoke, fire and ruination still everywhere.  I've never been too interested in the PHC trick of overlaying different images to get the effect of more colors than are actually available.  Of course this may be because I've seen such images only at a resolution of 1024x768 -- the limit of my monitor.  And at that resolution the checkerboarding is still visible.  Later this year when I purchase my new machine, I'll pick one with 1600x1200 capability.  Maybe then I'll change my mind.

But even now, I see potential in this method.  I especially admire the effect of overlying haze, most evident in the lower right part of the picture.  This method could be used to create atmospheric effects in fractal landscapes.  Perhaps some fractal artists are already doing this.

One thing is immediately apparent: when true true color arrives, we're going to need something other than those awkward and unattractive equal-iteration bands to define the colors.  Some of the methods I've seen discussed in this group have great potential.  I'll be glad when I have the equipment to give them a fair test.

Today's fractal is named "balloon".  I named it because it appears to be a square pattern printed on an inflating balloon.  It's a version of the Z^(-3) mandeloid turned inside out by the C^8 in the reiterative section.  I colored it rather hastily, but it's still an acceptable picture.

The finished image has been posted to a.b.p.f. and a.f.p.  Tomorrow, I'll explore one of the more remote planes of today's figure.

Jim Muth
jamth@mindspring.com


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