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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a harsh one, which takes 1-1/2 hours to render from the parameter file. Looking at it, I get the impression that it could have been an 8-rated image, but somewhere along the way something went wrong. Maybe there's just too much muddy-looking black. In the end, I rated the image at an average 5 and named it "What a Midget". The name is to be taken more as a question than as an exclamation. The image is part of the Z^(sqrt(2))+C fractal. In today's case, the pictured section of the fractal is located 6.283185307 out the infinite fractal spiral. This number is two times pi. I chose it because setting real (p2) of the MandelbrotBC1 formula to pi produces fractals with X-axis symmetry, and I wanted to see what 2pi would do. I found that it did nothing extraordinary. The slow render time and less than great quality of today's image make a download of the GIF image the better choice. But before visiting their web sites, give paul and Scott a chance to render and post the image. Those sites may be found at: The fractal weather today was once again summer-like, with humidity as high as the temperature, which reached 94F (34.5C). The public complained, but the cats approved. And I wish I had nothing to do, but the day is young and the work is waiting. Until next time, take care, and be efficient. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
What_a_Midget { ; time=1:27:57.45--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.30392296144667660/-0.870386112464632\
30/7.247228e+008/1/-72.5 params=1.414213562373/0/6\
.283185307/0 float=y maxiter=15000 inside=0
logmap=2481 periodicity=10
colors=0008R6AR7CR9ERAHRCJRDLRFNRGQRHSRJURKWRMZRN`\
RPbRQbOMcQPdRReSUfUWfVZgW`hXbiZej_gj`jkbllcomdqmes\
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gXEhXEhXEhWDiWDiVDiV7gSDiVIkXOmZTo`Zqbcsdiufmxfnwg\
nwhnvhnvinvinujnukntkntlotlosmosnosnoroorooqpoqpoq\
qoprpprppspospotpnupnupnvpmvpmwpmwqnwrpxqnwqlvqjvq\
hupftpdtpbsp`soZroXqoVqoTpnRonPonNnnLnmJmmHlmFlmDk\
lBjl9jl7im4jl5ik5hj5gi5fh5fg5ef5de5cd5cc5bb5aa6``6\
`_6_Z6ZY6YX6YW6XV6WU6VT6VS6UR7TQ7SP7SO7RN7QM7PL7PK\
7OJ7NI7MH7MG8LF8KE8JD8JC8IB8HA8G98G88F78E68D53C68D\
6CD7HD7LD8QE8UE9YE9bEAfFAkFBoF9yDBsFDmGFgIHbJJXKLR\
MNLNLFNNGOOGOPGORGOSHOTHOVHOWHOXIPZIP_IP`IPbJPcJPe\
JPgJPiKQjKQmKQnKQpLQrLQtLQzJSwKRuLQrMQpNPmOOkOOhPN\
fQMdRMaSLZTKXTKVUJSVIPWINXHKYGIYGGZFD_EB`E9aD7bC3d\
B4cC5bC5bC6aD6aD7`D8`E5R4
}
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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