|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Things are finally calming down here in the Fractal Central area, though one would never guess it from the unchanged behavior of the fractal cats, who rarely are anything but calm. The disruption has already done its damage however -- my goal of a month without a midget has failed. But now that we've abandoned the goal of a month with no quadratic midgets, the FOTD's are starting to improve. I couldn't decide whether to rate today's image an 8 or a 9, so I decided on an 8+. The expression 1.5(Z^(0.9))-1.35(1/Z)+(1/C) was iterated by the MandelbrotMix4 formula to produce the parent fractal, which appears as a very twisted Mandeloid, with a period-2 main bud so shrunken and misplaced that even identifying it is difficult. But there is no difficulty identifying the area that corresponds to East Valley in this fractal, and today's scene is located way down deep near the tip of a spiral that resembles but fails to actually duplicate an elephant trunk. I named the picture "Silk and Satin". The name was inspired by the satin-like effect, which is especially prominent in the amber areas. This satiny effect is far easier to achieve with several specially designed Fractint coloring options, but as is usually the case, I prefer to do it the hard way, with the good old classic equal-iteration bands. Rendering in 17 minutes, the image is a bit slow, but salvation is on the way in the form of the finished GIF image, which will soon be posted on the Web at: The fractal weather today was perfect, one by-product being happy cats. The temperature of 86F 30C and sunny skies seemed just right for the hottest time of year. Now I see it's time to start thinking of the next FOTD, so until then, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Silk_and_Satin { ; time=0:17:14.19--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.21103269278124330/+0.604572415492978\
40/9.458008e+009/1/37.5 params=1.5/0.9/-1.35/-1/0/0
float=y maxiter=1800 inside=0
logmap=310 periodicity=10
colors=000NNBLNAKPAJR8IT8IV7GX6FZ6E`5Cb5Bd3Bf3KhBS\
jJ_lPgnWopcpriqnnlgsgVwcKz`NxZOuWQqVSnSSkQVgPWdNZ`\
K_ZJ`VGcSEgOCjLFnQIqVKu_NxdPzlNzkLwkKujJsjIpjGniFk\
iEiiCghBegAcf8ae7_d6Yc5Wb3UaAS`AQ_AOZAMYAKXAIWAGUG\
FTFESFDRFCQFBPFAOF9NFAOFBPEESEFUEIVEJYEK_EN`EOcEPd\
KNdQKdVId`FdgCdkAdq7dv5dw8gwCgwGjwKkwOlwSowVpwZqwb\
tweuwivwlxwpzwszstxotwkuugutcvq_vpVvoSwlOwkJxiFxgB\
xgFtcIp_KlWNiSPeQS`NUYJWUFZQB`N8dP7gS7jU6nW6pY5t_5\
vb3zd3ze3xc6u`7qZAnWBjUCgSFcPG_NIWKKSILPGNOLPOPSOS\
UNYWN`ZNd`LicLleLpgJlcGj`EgZBeW8cU6`S5ZP6VO7SN7PL8\
NK8KJAGIAEGBBFC7EC5CE2BE0AF08F07I0BK0EN0GO0JQ0NS0P\
U0SW1UZ1W`2_b3bd3Wc5Vb5Ve8UiCWlGWoKStYOxgKzlFzkBxe\
FpWIgLK_INSEQJ8SA5V11YLBbcLguVjqZlobokepiisgktgipg\
glggigeegdbibZi`Vi_SiZOiYKkVGnUCpS8sS5uQ2wS7zVBzYG\
z_Kz`PzcSzeYzg`zjezkizjiziizgizgizeizdizcizbiz`iz_\
izZizYizWizVizUizUizdEzgC
}
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==================================
|
times.
