|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: At first glance, today's midget looks as though it is located far out on the negative stem, (not to be called a tail), but it is not. It is actually located on the east branch of the north filament. This is why I named it "Not the Negative Stem". The effect of fingers pointing in toward the midget is not so much a feature found only at the tip of the negative stem as it is a feature of all midgets located near the bailout radius, where everything gets cut off. In today's fractal, which lies in the classic Mandelbrot set, the bailout has been set to 2 instead of the normal 4 or greater. As a result, the part of the set beyond a radius of 1.4142 has been cut off. To find today's scene, I simply zoomed into the point where the filament gets cut off. The picture created by this maneuvering is not great, but it's not terrible either. A perfectly average rating of 5 seems just about right. The magnitude of the image is on the borderline of the range of arbitrary math. The image renders in 10-1/2 minutes using arbitrary math and in only a few seconds with normal double-precision math. But though the normal math saves time, the resulting image has tiny flaws. I recommend patience and arbitrary math. Less patience will be needed if one gives Paul and Scott a chance to render and post the GIF image to their web sites, which are located at: The fractal weather today (Sep 2) was once again near perfect, with sunny skies, angel-hair cirrus, and a temperature of 79F 26C. The fractal cats showed their joy by sleeping peacefully through the perfect afternoon. On a philosophical note, I heard today that Steven Hawking, who is strong on AI, has warned that man must find a way to improve his DNA to give him greater intelligence. According to Hawking, we must increase our intelligence to avoid the danger that machines with superior intelligence will take over the world. I must place the danger of being taken over by computers somewhere on my list of things to worry about, probably about two levels below the danger of earth being destroyed by an asteroid. Of course, I already spend so much time with computers that if I were taken over, I would probably notice no difference. Well, it's Labor Day here in the U.S.A., the mis-named holiday on which no one works. Being one who celebrates holidays to the fullest, I'll spend the rest of the day doing absolutely nothing. But I'll return on schedule tomorrow with another FOTD. Until then, take care, and it will be interesting to see whether those intelligent machines ever become intelligent enough to develop the need for a belief in an electronic God. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
NotTheNegativeStem { ; time=0:10:26.20--SF5 on a P200
reset=2001 type=mandel passes=1
center-mag=-0.016773202458501856/1.005477193592856\
55/1.602593e+013/1/172.563 params=0/0 float=y
maxiter=1600 bailout=2 inside=0 logmap=146
colors=000000XRYVXgSaqQgzOlzZixhglre`zcPrf_iij_luR\
ozNcqRYiUSbYMV`HOSFMiELmDJrBIvAGzUFuAMqASmBYhBcwcK\
zKzeCkzchnCerCbwC_zCXzCzzCzzBzyBZtBasAZrAWzATp9Qo9\
Nn9Km9IjGKhNLeUNc`OagPZnRXuSVzTTzZRzcPzhNzmLzsJzxH\
zzFzzzYEz_Gw`IqbKkcLddNZfPTgRNhSbkZYg`SdaN`czlDqgN\
_bWWpGRiPMcXoHzfMtZQoQUizfewddpcdibdb`dW_dPZdK_zJZ\
zJZxJZtIYpIYlIYhxbHm`Nb_TSZZDwtGjlgLB`PJVSQOVYGbzH\
azH`yH`uH_rIZnIZkIYgozHJHzIKwIMtIPqIRmIUjIWgbPz_Rz\
XSvUTrRVoOWkLXggezVaoNhBKbQPMAOOFNQJMSOLTSKVXJX`_U\
zZVzYWvWXrVYnUZjT_fzSazXZz`WwdTshRomOlqLhuIeyGhkTk\
ZenMqzzUxxZrqbligebk_VpUOtTUsT_rTdqQckNceKc_HcUFcP\
`zKawRasXaobbkhbknbltbmzQnrDokFpdGqYHqRIrKJrEIsJIs\
NLtbItSIuWIu`euQYuVQu_`vJYwMWxPTySRzUPzXMz_Kzbzzlt\
zjmzigzh`zgVzfOzePzFNzLMzQKzVJz_zzAqzHhzN_zTRzZuzk\
OztNzqMznLzlKziJzfrzkmzjhzidzh_zgVzfRzeMzdBzzEzvGz\
mTzXQzZNz`KzbMzkQzeTz_XzU
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
