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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The fractal for today is a winner, a little gem that honestly earns its immodest rating of 8. It was created with my little-used MandelbrotMix3 formula, which combines four different powers of Z but leaves finding a critical point up to the user. Luckily, I have another formula which finds the critical points graphically, so this is not too much of a problem. Today's image is partially evaporated, consisting as it does of 80 percent inside and 20 percent outside. The greatest surprise came when, trying different inside fills, I found that the < zmag > fill gives the most pleasing results. Normally, this fill results in too chaotic an effect, but in today's already-chaotic scene, it works to near perfection. The straight criss-crossing ridge-like areas that fill the background are most unusual. They appear to have been introduced artificially, but they are quite natural. A midget of sorts lies at the center of attention, where the most prominent ridges cross. The midget is not really all there, but its strange energy field is very much present, being revealed by the inside fill. Since the image is filled with X's, I named it "X Marks the Spot". One glance at the image will show that the rating of 8 is fully justified. The 37-minute render time however is a bit trying, but the wait can be eliminated by downloading the completed GIF image from: The weather Sunday here at Fractal Central was cloudy and muggy with occasional showers of rain. The temperature of 79F 26C fell in the comfort range of the fractal cats, but the wet grass and drippy trees kept the dynamic duo confined to the indoors through most of the afternoon, where they expressed their displeasure by making themselves obnoxious. It's cloudy again this morning, but with a forecast of a drying trend starting this afternoon, the cats should have a better day. My day will turn better once I have finished the work before me. Until next time, take care, and be careful around those dangerous fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
X_Marks_the_Spot { ; time=0:37:57.10--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix3 function=recip passes=1
center-mag=-0.3480403693685333/0/728.2051/1/180
params=1/-1.5/0.2/-2/0.15/2/2/0.6/2.11537091657/52\
5 float=y maxiter=1200 inside=zmag symmetry=xaxis
periodicity=10 colors=000QAGN6KK2NJDIJNEvrjkhlaZnS\
PpIFrMChMCkGFhAIe5Lc2kQzBApH8fN6XS5NY3Db2RK4d15T93\
HH25O1S2tPApNHlLPhJWdGc`EjXCrTAyP1hn3fg5da7cW9aPB_\
JDZDNSBWLAdE9m78v17rAFnJNjRVf_bbgjZprWxyTpwRiuPbtM\
VrKOpIHo4rRAnQGkPLhOReNWbMa_LfXL_WITWGMWEFWC8WA9YC\
9ZDA_EA`FAaGPLQb5_XHWSTTNdQIpNQnUXl`dkfkimrhsneqkb\
og`mdYlaVjYThVQfSOeRK`RGWQCRQ8MQ5HN6KK6MI6PF6RC6UA\
6W76Z56`IGTVPLgYDsf5lZ9eSDZLGSEKM7NJCMHGMELMCPMATL\
7YL5aL3eL7`MBWNFRNIMOMHPQCPU7QX3QQ7LKBHEFC8J82N4DT\
FOZQZd`ijkspvolnlhgid_faTcYL`UEYR7XNCXKGXHKXEOWBSW\
8WW5_W2cSAfPIiMQlJXnIRiHLeGFaF9YF4UKCYOJaSQeWXi_cm\
cjqjknpkk4YOAh3C`4DT5HQAKOEOMIRJNVHRYFV`IPIt1RuM_v\
fhwzbsyXoyRlxLhxGexHXnHPeIHXI9OI1FaoS_pWYp_XqcVqgT\
rkSroUkhWebX_XZTQ`NKaHECJYJOWPTVWYUabTggSk_OnSLrKI\
uCFx4Ct5Gq6Jn7Mk8Pg9SdAVaBYZC`HlYIjZIhZIfZId_Ib_I`\
_PYYWWWcSdjPmqMvqIoqFiqCbq9Xq6Rh9M`CHTFC }
frm:MandelbrotMix3 {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }
END 20.0 PAR-FORMULA FILE==================================
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times.
