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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To find today's scene I went exploring down into the 'Fritzle' image of yesterday. I went in search of midgets. The midgets proved elusive, but I finally tracked one down and rendered it for the whole world to see. The search was difficult because in the Z^1.5 Mandeloid, the midgets have no symmetrical pattern surrounding them. They can be found however by searching for the areas where several discontinuities converge, and zooming in on the center of convergence. An additional difficulty in searching for midgets in the Mandeloids of an order between 1 and 2 is that the midgets lie far deeper than in the classic Z^2 M-set. I often find the midgets, and know that they're down there, but then run out of resolution before reaching them. The midget in today's scene luckily lies at a relatively shallow depth in the bottomless parent fractal. After studying the image a minute or two, I named it "Fritzleland Midget". I chose the name because the image illustrates a scene in Fritzleland. I rated it a 5. The image lost 1 point because its central midget is virtually shapeless. Do I believe in fritzles? Of course! I invented them. I believe in them just as I believe in a talking rabbit named Bugs Bunny. Bugs is far more real to most people of the world than I am, so how can anyone say that I exist and Bugs Bunny doesn't? The same is true of fritzles. Before wandering too far from the topic, I'd best tell that the parameter file renders in 11 minutes, more or less. And unless the internet is bogged down, the GIF file of the image downloads in 10 percent of that time. The GIF image may be found in an hour or so posted to Paul's web site at: The fractal weather today was pretty good. There were more clouds than yesterday, and a brief shower spoiled the afternoon, but the temperature of 83F (28C) was judged ideal by the cats. As for me, it's Saturday evening, and that means a junky sci-fi or horror movie. Since the local TV station is still showing "Doctor Who", one of my favorite 'do a lot with a little' series, I'll probably watch that. And within 24 hours, I will have found another fractal, which will be the next FOTD. Until that glorious time arrives, take care, and there is indeed one thing that can pass back and forth through the event horizon of a black hole. That thing is thought. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fritzleland_Midget { ; time=0:11:10.09--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=mandelbrotbc1 function=floor passes=b
center-mag=+0.73593566678892110/-0.183549714634885\
30/9.894864e+008 params=1.5/0/-81219/0 float=y
maxiter=7200 inside=255 logmap=382 periodicity=10
colors=000H0gJ0eL0dL0`N0ZN0XP0VR0TR0RT0PT0LT0NX0N`\
0Pb0Pe0Ri0Rm0To4Ts8VvCVzGXzJXzNZzRZzV`zZ`zbbzebzib\
zkdzkdzkdzmdzmdzmdzodzodzodzzdyzdxvdvtdtqdrndpkdnh\
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kJzqXzvimzv`zzPzzTzzXzuZzqbzmezggzdkzZozVqzRuzLxzH\
zzCzz8zz4zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\
2zz6zz8zzAzzCzzEzzGzzGzzHzzHzzJzzJzzLzzLzzNzzNzzPz\
zPzzRzzRzzTzzTzzGzzGzz000
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
