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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Another busy and somewhat frustrating day has ended, to be replaced by a busy and equally frustrating evening. But at least the fractals were working right. Today's FOTD might have been named "Son of the Squirt", or "Return of the Squirt", or "Curse of the Squirt", or even "The Squirt Rises Again". All these names might have happened, but they did not. Instead I named today's image "Squirt II". I gave the fractal this unassuming name because it comes from the same Mandeloid as yesterday's image, though from a far different layer of the hyper-dimensional corkscrew caused by the multi-valued nature of the complex log function. The image, a picture of a rather gaudily colored midget in a valley of the Z^(sqrt2)+C figure, is as unassuming as its name. Because of several flaws, I could rate the image no higher than an average 5, but it's still an interesting view of things that exist in the unexplored depths of the Squirt fractal. The parameter file takes over 24 minutes to run on a 200mhz Pentium. All but the most hardy fractaliers will choose to download the GIF image file from Paul's web site at: The fractal weather today started with a steady rain. But by 11am the rain ended and the sky cleared, leading to a sunny afternoon with a temperature of 77F (25C). The fractal cats found the conditions ideal, and showed their approval by spending the entire afternoon relaxing outdoors. My day was far from ideal, though the day's fractal partly made up for all the other things that went wrong. I'll try to have a better day tomorrow, when I'll also return with the next FOTD. Until then, take care, and perhaps I'll soon tackle the remote parts of the Zexpe (Z^2.71828...) fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Squirt_II { ; time=0:24:48.96--SF5 on a P200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1
center-mag=-0.72227094168292330/+0.175944088697707\
90/1.898783e+007/1/-15 params=1.414213562373/0/33/0
float=y maxiter=4200 inside=0
logmap=630 periodicity=10
colors=000huIdsI`nGXjGUfFQbFM`EIXEESC9OC5KB3IB5K98\
M89N8CO7EQ5GR5IS4KU3MX3OY1QZ0S`0Va0Xb0Zd0`e0bh0di0\
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Nl9Nn8Nq8Nt8Nw7Ny7Oz7Qz7Rz5Sz5Uz5Vz4Xz4Yz4Zz3`z3az\
3bz3dz1ez1fz1fz0fz0fz0fz0fz0fz0fz0fz0fz1fz3fz4fz5f\
z4fz4fz3fz3fz3fz3fz3fz3fz
}
frm:MandelbrotBC = { ; Z = Z^E + C
e=p1
p=real(p2)+PI
q=2*PI*trunc(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| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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times.
