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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Let the banners wave and the trumpets blare! I'm back! Only my deep humility prevents me from spreading the great news to the entire world. After nearly a week of FOTD deprivation, we once again have a FOTD. Today's image has an ominous feeling. With all its sharp edges and dagger-like points, it would not look out of place on the cover of a paperback horror novel. Actually, it's a harmless fractal, and the ominous appearance is entirely of my own creation, a result of setting the first 6 color registers to total black. To change the image into a non-threatening one, simply rotate the color palette. I named the image "Barbed Wire Fence". It does have a kind of fence-like appearance, but actually, the image is the result of subtracting 1.02 parts of Z^(-3) from Z^(-2) before adding (1/C). The rating of a barely adequate 6 might indicate that the week with no fractals has left me a bit rusty. No problem. I will be back at full speed within a day. Although the Fractint program has a couple dozen functions that might be applied to C, I use only the 'ident' and 'recip' functions when I work with the MandelbrotMix4 formula. The other functions do create some curiously shaped parent fractals, which are often periodic, but down deep, where I find most of my images, the elements of these fractals are the same as those in the fractals created with the 'ident' and 'recip' functions. The render time of 2 minutes is brief enough to make rendering today's image from the included parameter file a pleasure. Well, almost a pleasure. And it is also a pleasure to visit the long-maintained FOTD web site at: The fractal weather was uneventful over the long holiday. The fractal cats enjoyed the normal conditions to the utmost of their ability, which does not require much effort from cats who are 15 years old. As for me, I finished the work, took it easy and even managed to see a fireworks display, which I undoubtedly would have enjoyed more if I had been 40 years younger. Today is again starting uneventfully. The work is minimal; hopefully I can get the fractals maximal. The next glorious fractal will appear in 24 hours. Until then, take care, and when I last checked, Earth was the only planet in the universe known to harbor Earth-style life. (The real question is how much other-style life is out there.) Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Barbed_Wire_Fence { ; time=0:02:18.85--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.61889569074713700/+0.000085722271613\
62/4790189/1/-10/-1.09451677256233726e-007
params=1/-2/-1.02/-3/0/0 float=y maxiter=500
inside=0 logmap=38 periodicity=10
colors=000000000000000000ktxOQfSXiOTfLPdIMbFI`CEY9\
BW67U33Ss83l76f69`5BV4EO3GI2JC1L60OU6PP5QL4QH3QC2Q\
81Q40QgmCbmEZmFUmHzmIzmJzmLzmMzmO42PU0SUXRKMRABQ7F\
Z6DY6CX5BX5AW49V48V37U36T25T24S13R12R01Qsihg_dXR`M\
IXB9TOL4KI5GF6BB7788359AJBHWDNhEKdDI`DGYCEUCCRBANB\
8KB7LI7MO7MU6N`6Nf6Ol6Or8Po9PlAQiBQfCQcDR`FRYGSVHS\
SISPJTMKTJLTGI_RFeaCll9rvJkTTd0NmVHvxFolDi`BbP9XDM\
UCYRBjOAvLAuNFtPJsROrTSqVWpX`oZdn_hoVfpQeqLcrGbsB`\
t7_USk3lvHgkUcagZStVIpSMlQPhOTdLW`J_YHbTDWPAQL7JH4\
DD3FA2IKKKScgNbiIakHefGhbGlYFoUEsPEvLBtX8rh5qtBmsH\
jsMgrSdrXaqbZqgWqIznOuiTqdYm_bhVgdQl`MeZO_XQTVSNTU\
GRWAPYdnjageZa`WWWUQRRKMOEHM8CLFGKMKJTOJ_SIfWHm_Hs\
cEliCeoGdpKdqNcrRcsVctYbuabvdbwhcwmdwqewsZpuTjvNcx\
HYyBSyLWyV_ydcyngywjtshoogjkeegdaccX_aSW`NSZJOYEKX\
9GV4CU08T0DW0HZ0La0Qd0Ug0Yj0am3bl5bk7bj9biBbhDbgFb\
fHbe33R78S56R45R34R22Q11Q }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
