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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image came about when I subtracted two parts of Z^(1.7) from Z^(1.1) and added C. The resulting parent fractal is a variation on the Mandelbrot set rotated 180 degrees. Today's scene is located rather deep in the Seahorse Valley of the parent. On the surface, the resulting image is pretty much what would be expected of a Seahorse Valley fractal. But a closer look reveals extra features above and beyond what would be expected. The image is not far enough above and beyond the usual to earn a name or rating however. I have given it only a catalog date. The one bad feature of the image is its slowness. With a render time of almost 1-1/2 hours, the image would test the patience of a saint. I strongly recommend downloading the fully-rendered GIF image from the FOTD web site at: A warm day Saturday pleased the fractal cats, but cold weather on Sunday and Monday sent them scurrying for the nearest warm radiator. As for me, I am once again in fractal land, where I will remain for at least a few days. The next FOTD will appear in 24 hours. Until then, take care, and walk with the galaxies. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_28-02-06 { ; time=1:28:16.79--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.59947256488660810/-0.017555134727237\
36/2.855535e+008/1/80/3.773657203574865e-006
params=1/1.1/-2/1.7/0/0 float=y
maxiter=10000 inside=0 periodicity=10
colors=000eccjhhokmrmqokokfng`mbWlZQkVKjRFiTGhVHhX\
IhZIh`JhbKhdKgfLghMgjMglNgnOgpOgjSidVjZZkTalNemHhn\
CkoFmpInqLpqOqrRrsUtsXutZvt_ur_tq_sp_ro_qm_pl_ok_n\
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wHSwJUvLXvNZvOUoSQiWMb_IXcHVbGUbGTaFSaFR`EQ`DP_DO_\
CNZCMZBLYAKYAJX9IX9HW8GW7FV7EV6DU6CU5BT5ATITbJSaJR\
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EO`HMaKJbNGcQEeTBfW9gZ6h`4fZ7dYAbWD`VGZTJXSMVQPTPS\
RNVPMYNK`MJcOL`QNZRPXTRUUTSWVQXXNZVLWTITPFQKCNF9KA\
6H54E35C9AJEFMJKROPWTU`ZZ }
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.
