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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: There are three primary colors -- red, green and blue. And then there are three more primary colors -- red, yellow and blue. The first are the additive primaries, or RGB colors of a fractal on the screen; the second are the subtractive primaries, or CMYK colors of a fractal on the paper. Today's image has in it some very strong primary colors of both varieties. For this reason, I named it "The Primary Colors". The rating is only a 6. The formula behind the image is a very simple one -- Z^2.003+C, made more interesting by displaying the part of the infinite fractal that lies 1029 turns up the logarithmic hyperspiral. At this lofty height, the parent fractal resembles the Mandelbrot set rotated 180 degrees, so that the split along the negative X-axis cuts the East Valley area, which at the same time begins to broaden. The midget in the image lies deep in this fractured East Valley. The 15-minute render time is barely bearable. But impatience can be avoided by letting Paul and Scott do the rendering and downloading the image from their web sites, located at: The fractal weather Friday featured rapid and extreme changes. The day began with dense fog, which cleared to a partly cloudy sky by 10am. A light shower passed over at 11am, then it was partly cloudy until 3pm, when a brief but strong rain squall arose. The day ended with clearing skies, high winds and falling temperatures. The high of 75F 24C was comfortable enough, but the fractal cats' outdoor time was limited by the changeable conditions. It's the start of another week-end here at Fractal Central, and I've got a lot of work to do to get the files for the FOTD CD in order. The sooner I get started, the faster progress I'll make. So until next time, take care, and have patience. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
The_Primary_Colors { ; time=0:15:14.28--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.26445764184686160/-0.003322320467831\
68/1.109666e+011/1/-42.5037/0.00146395122998561888
params=2.003/0/1029/0 float=y maxiter=6000 inside=0
logmap=298 colors=000XOjZRjaSibRidUgfUgiXfjbfmidom\
drtbtzbvzbtrZtfUrOPqIMr6Ir0Ds0At3Cv9DxFDzFFzKFyJLu\
MPpOWmS_ZZdSdjOloIrvCyz8zzCtzFjzIayLSwOIoR9hU0bX0W\
U0NR8TOGZLOcIWKFdLClF9vA6z6cz11w80nD0XJ0LP09W08_09\
X09U1AR3AO4CL6CI4FD4IA4J64M34O0CGFI9UO1iU0y_0zZ0zX\
0zX0zW0zU0wU1tS4qS6mR9jPCgPDdOGbOI_MLXLOULPRJSOJUL\
IXIG_FGaCFd9Ff8CZS9Rm8JzLJzXCyR0tC0o00S00U00U00U00\
W00W00W00W00X00X00X00Z00Z00Z00Z13X1AX3IW3PW4RU4RU6\
RS6RS8RR8RR9RUARXARZCRaCRbDRfDRiFRjFRmGRoIRrIRvJRw\
JRzLRzLRzMRzMRzORwOOtMLqKInIFkGChE9fC6fA4f82i60l40\
o40r40v40y30z30z30z30z30z30z30z40z40z40z43z46z48z6\
Az6Cz6Fz6Iz6Jz6Mz8Oz8Rz8Uz8Wz8Zz8_z9Zz9Xz9Xz9Wz9Uz\
AUzASzARzARzARzCRzCRzCRzCRzCRzDRzDRzDRzDRzDRzDRzGR\
zIRzJRzLRzORzPRzRRzSRzURzWRzWRzWRzWRzWRzWRzWRzWRzW\
RzWRzWRzURzURzURzSRzSRzSRzSRzRRzRRzRRzPRzPRzPRzPRz\
ORzORzORzMRzIRzJRzLRzORzPRzRRzSRzWRz }
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.
