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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image takes us to the same area of the same fractal that yesterday's image was found in. A different, larger, midget lies at the center of the screen in today's image, though the underlying character is the same as yesterday's. The big change is that today's image has been rendered with the 'fmod' option, while yesterday's was rendered using the standard 'iter'. As is typical of images rendered with the 'fmod' option, today's image consists of overlapping bubbles. Extra interest is added because of the discontinuities, which cause some of the bubbles to be broken. I particularly enjoy the tiny, apparently disconnected pieces floating around in the scene. These are common in 'fmod' images. When I create a fractal using something other than the traditional 'equal-iteration-band' method, I sometimes feel I am cheating. The real fractal, the theme if you will, is what appears when the image is colored according to how many iterations it takes any particular point to pass beyond the escape radius. All other fractals are variations of the real thing. But sometimes variations can be quite interesting, and today's image is a very interesting version of a fractal that otherwise would be almost a repeat of yesterday's. The colors have turned out unusually smoothly for a GIF fractal image, in fact, the individual color bands are so subdued as to be almost invisible. (I said 'almost' invisible for the benefit of the extra-observant fractalists, who will still see the bands.) Since today's image is a near-repeat of yesterday's, I rated it at a similar 7. The faster render time of 3-3/4 minutes gives an overall value of 185. I named it "A New Land" for no particular reason. The completed GIF image, along with this letter, has been posted to the FOTD web site at: The steady rain continued all day Friday here at Fractal Central, while the temperature hovered around 43F 6C. These were rather unpleasant conditions for enjoying the outdoors. The cat duo remained sullen most of the day, though their bad moods were not very noticeable, considering that they now spend around 22 hours every day sleeping anyway. A treat of salmon in the evening cheered them somewhat. Today is again starting cloudy, but it is not raining. We'll see how the day goes. It should be a rather good day for me. There are only a few minor bits of work to get into shape before the fractal fun begins. Until tomorrow's FOTD, take care, and report any sightings of alien fractals to your local fractal police. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
A_New_Land { ; time=0:03:45.80--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1 center-mag=-0.7\
7212345977/-0.10483788219/10845.41/1/-22.5/6.03545\
893818058232e-011 params=1.55/0/0/0 float=y
maxiter=3600 inside=0 outside=fmod periodicity=10
colors=000DkEDkEClEBlEBmFAmF9nF8nF8oF7oF6pF6pF7oG7\
nG7mG8lG8kG8jG9iG9hH9gHAgHAfHAeHBdHBcHBbHCaIC`IC_I\
D_IDZIDYIEXIEWIEVJFUJFTJFSJGSJGRJGQJHPKHOKHNKIMKIL\
KIKKJKKJJKJILKHLKGLKFLLELLDLLCL3A7CBELCLUDSbEZkFes\
FlpHjmIhkJfhKdeMccNa`O_ZPYWQXTSVRTTOURMVPJXOGYMEZK\
B_I7ZE8_G9`H9`IAaKAaLBbMBbNCcPCdQDdRDeSEeUEfVFfXFg\
YGhZGh_Hi`HibIjcIjeJkeJlgKlhKmiLmkLnlMnmMonNpoNpqO\
qrOqsPruPrvQswRrzQsxQrxQqxQqxQpwQowPnwPnwPmvPlvPkv\
PkvPjuOiuOhuOhuOgtOftOetOetNdsNcsNbsNbsNarN`rN_rM_\
rMZqMYqMXqMXqMWpMVpLUpLUpLToLSoLRoLRoKQnKPnKOnKOnK\
NmKMmKLmJLmJKlJJlJIlJIlJHkJGkIFkIFkIEjIDjICjICjIBi\
HAiH9iH9iH8hH7iH6gI5hH6hH6gH6gH6gH6fH6fH7eH7eH7dH7\
dG7cG7cG7bG8bG8aG8aG8`G8`G8_G8_F9ZF9ZF9YF9YF9XF9XF\
9WFAWFAVFAVEAUEAUEATEATEBSEBSEBREBREBQEBQEBQFCRGDS\
HESHFTIGTJHUKIUKJVLKVMLWNMWNMXONXPOYQPYQQZRRZSS_ST\
`TU`UVaVWaWXbXYcYZdZ_e_`f }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(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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