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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Blue and orange -- my old high-school colors -- that's the color scheme of today's image, which adds just a bit of Z^3 to Z before adding C. It's not that I'm trying to regain some of that long-gone school spirit; it's that these particular colors make the most of a routine image of just another midget. The exact amount of Z and Z^3 is determined by the real(p3) parameter, and is extremely critical. The formula, like many formulae created by M-Mix4, actually behaves as though the real(p3) parameter brought the formula near an asypmtotic point, where the fractal undergoes a sudden drastic change. The name "Bluebrot" was not named after my high-school football team, which was called the "Engineers", and usually whipped the starch out of their rival team down the road, which went by the name of the "Knights". The image's name is simply the shortest and most appropriate descriptive name I could come up with after a few minutes pondering the image. I wish I could rate the image something above a boringly average 5, but honesty prevails here at Fractal Central, and I always give the images a rating that reflects my degree of satisfaction or dis-satisfaction. If the parameter file ran in a minute or two, the rating might have been higher. As it is, the 36-minute render time is a bit much for such a mediocre image . . . except for the curious, that is. But relief in the form of the completed GIF image is at hand. The image will soon be available on the two FOTD web sites found at: The weather Saturday here at Fractal Central was perfect, with not a cloud in the sky and a cat-pleasing temperature of 84F 29C. The cats in question were appropriately pleased. Tippy, the long-tailed tabby, actually thanked me for the wonderful day he had spent in the yard. Thomas, the overweight yellow-orange, said nothing, assuming that I already knew he was thankful. As for myself, it's once again Sunday, and I'll be pleased if I can get through the day without doing any serious work. But regardless, I'll still have a pleasant day. Until next FOTD on Sep 10, take care, and don't let a blue fractal give you a case of the blues. P.S. -- And don't forget that soon-to-appear FOTD CD! Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Bluebrot { ; time=0:36:11.98--SF5 on a P233
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.25621249906585860/+6.284024255056992\
00/2.779084e+008/1/-112.5/-3.06632516054589077e-005
params=1/1/0.03/3/-0.003/0 float=y maxiter=6000
inside=0 logmap=698 periodicity=10
colors=000K0RM0UO0ZQ0cS0hU8mSIrSSwSazSizSszSzzSzzS\
zzSzzSzzIzz8sk0YL0B0000000000000100600B00G00L00P00\
U00_00d00i00n00s00p00n03n3DkINkYYfaUdfUakU_pUYuUUz\
SSzSPzSNzSLzSIzSfzSzzPzz3zz0xz0sz0nz0iz0dz0_z8UzIP\
zSLz_GziBzs6zp3sf0a_0_30_0Pz0sz0uz0uz0uz0uz0uz0uz0\
uz3xzBxzIxzNxzUxz_xzfxzkszipzinzfkzfizdfzddzaazafz\
YizSkzNnsIpiDs_8uP3d83P03L08G1DD3GD1DD1DD1DSz0Pz0N\
z0Lz0Ix0Nz0Sz0Yz0az3fzGkzSpzduzpzzzzzzzzzzzzz_zx8z\
u6zu3xs1ps1kp0dp0Yn0Sn0Lk0Dk08d0DY0GP0IL0LD0N60P00\
U00Y00_00a00d00f00a08_DLUSYSfiNuuLzzIPzsNxpNuzLskL\
niIifIfdIaaG__GUYDSUDNSBLPBGNBDLBDLDBLDBIDBID0zD0z\
D0zD0zD0zD0zD0zD0zD0zD0uD0sD0pD0kD0iD0fD08D0dD0_D0\
YD0UD0PD0ND0LD0GD0DD0BzfUzdSzaSzaSz_PzYPzYPzUNzSNz\
SNzPLzNLzNLxLIsIIpIInGGiDGfDGaBDYDLSGSNI_ILfDNn8Pu\
3Sz0Uz0Yz0_z0_z0_z0Yz0Yz0Yz0Yz0Uz0Uz0Uz0Uz0Sz0Sz0S\
z0Sz0Pz0Pz0Pz0PzDSzGPzINz }
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 20.0 PAR-FORMULA FILE==================================
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times.
