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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In yesterday's discussion I said that in today's image I would show a midget that lurks unseen in yesterday's image. Indeed, I have found such a midget and finished the image, but before posting it, I wanted to post today's image, which has been sitting in my 'future FOTD' directory for several weeks. Today's scene is located in a small valley in the oversized fractal that results when portions of Z^(-1.1) and Z^(-11.1) are combined and (1/C) is added. For some unknown reason, when I found it about a month ago, I named it "Enriched". It is hard to imagine why I would give a below-average image such a name. The rating of a 4 is all I could do for today's image, which is little more than a retelling of a fractal story that has been told again and again in the classic Mandelbrot set. The 9-1/2 minute render time is a bit slow for such an un-notable fractal, but the wait may be eliminated by downloading the finished image from the FOTD web site at: With a temperature of 93F 34C and high humidity to contend with, the fractal duo avoided as much activity as possible on Tuesday. They spent the entire day lurking in the holly thicket, always alert for danger. Today is starting foggy and warm. If the fog burns off, it will be a repeat of yesterday. For me, the work is once again getting behind, so it will be a busy day. The next fractal will appear in 24 hours. Until then, take care, and why doesn't it all make sense. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Enriched { ; time=0:09:38.20--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.23055178797188210/-1.664362889754432\
00/7.164018e+008/1/85/0.000159799720913900156
params=1/-1.1/0.1/-11.1/0/0 float=y maxiter=1200
inside=0 periodicity=10
colors=000DWUF_QGdMFgAHhJJiRLjZIlkMkfQjaTjXXiT_iOc\
hJaeDdgEfhFhiFkjGmkGolHtkGslHrlHqmHpmIonInnInnIlkK\
kiMjgOieQhcSUv_`kXgaUnRRzNXzUSuHOrEJpBFb8Ak66j8CiA\
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pWAnWFN2UR3hV4wY4oZAh_Fa_LU`QN`WGa`4di9aeEZaJWZNUV\
SRSXOObFRaJO`ML_PJZSG_Q4YVEW_NX4cWM_VcWUzXVxVVvUVu\
TVsSVqRbvWVpQOkKHfE5c1Aa8F_EKYKPWRUUX`FS_KWZO_ZTbY\
XfXajXemWjqAh7IjOPldWntShoOcjKZeGU`WGjPJeJM`DPWElO\
AaQ4OV7SRAWOCZLFbIIfFKiCPZJTPQXEX`4c_5c_5bZ5bZ5bZ5\
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8_R8ZR8ZQ8ZQ8ZP9ZP9YO9YO9YN9YN9YexhdwgdYgnugibgwvg\
chfbrvbqfbpfbofaozaneame`le`ke`ke_je_id_hd_gdZfdZf\
dZedYdcYccYbcXbcXacX`cX_bWZbWZbWYbVXbVWaVVaVUaUUaU\
TaUSaTR`TQ`TQ`SP`SO`SN`SM_RM_RL_RK_QJ_QI_QHZPHZPGZ\
PFZj`ESgS1tx6qnUwUZUL8MRcz0EkWGX_CoQFZXIIcI2DG4JE6\
OD8UBAZ9Cd69m8Ei9IeBNaCRY }
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.
