Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's un-named and un-rated image lies in the fractal that comes into being when 0.5 parts of Z3 are combined with 5 parts of Z and C is then added. This parent fractal is a variety of Mandelbrot set rotated 90 degrees so that its normally west side is facing south. A series of dots and dashes appears along the Y-axis, extending north from East Valley of the M-set. Today's image lies in one of these dots. I put almost no effort into the image, a lack which does show. The only special effect came about when I rendered the image with the outside set to 'tdis' rather than the usual 'iter'. This does add a bit of life to the scene, but not enough to earn it a title. Perhaps the best feature of today's FOTD is its very short calculation time of 1-1/3 minutes. The image may also be seen by going to the FOTD web site at: We had a 2-inch, 5cm snowfall Tuesday night here at Fractal Central, but the snow was so fluffy that by the time the sun went down Wednesday, the snow had almost totally vanished. The high temperature of 23F -5C on Wednesday was far too cold for any self-respecting cat, much less for the fractal cats who have no self-respect. My day was busy, but at the same time it was as close to an average day as we have seen in several weeks. The next FOTD will appear in 24 hours or so. Until then, take care, and see you in fractal land. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Feb_08_07 { ; time=0:01:22.82--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=0/+4.524805531537247/874108.8/1/-90/\
-1.2337353361147e-014 params=5/1/0.5/3/0/0 float=y
maxiter=1500 outside=tdis periodicity=10
colors=000hssu_dkdkXBMwXilcnmk0ijJei`ksPhoZelhoewk\
fuhgtehsMfYSgdYhkYDu_OtaZsAgPIhXPhcWikgNVeVbcbjv4k\
FaHLcRRe_XgiV`9mVAjZMgbXdfgzVGp0Tidmh53UF9GPE2YJPP\
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N9nO9`YHOfOGgP8gQ0gQEYYSPdeFks6rrOnqdkpuhcqdRn`EkX\
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Ypwh3GRLVd8m9OkW2fhLhmeh7ciVQh5fedefhdgkchott`oqek\
nifknZKJ6JMHSXS`gp343sXLngHeJNfSSg`YhiqTEiaZ3iiLin\
VMhYUl`aoGSlMXnS`oYeqiadBFjINlPVnWbpBtTLpaUlj5zOHt\
ZSnhU1tZOsrjQli_giiXzcZug_qkamoqCDlORgZdxn1rlFmkSg\
jevncem0UO1XUFZZS`deSd7WfN_hbjRDr0bnCfjNjfZn77lIKn\
TXp5kkMjocmIbk`yoAmlXZCs`TrDjNADfPUleiPZPd`_kiSacw\
IbsSbp`blitPUESdVsgYok`loM8QVRdKbJTr3YmTh1sfGrdVr3\
cCX5zDo3KmGQlTXjeImgTkmJuzTovYKA`XXv2EDmRMk`Vjioue\
B_LLcXUfgwcrlfruLTpS_kYefclpv4lrHioUelfLcLUfao3SeD\
cdMgcUkbao`UMUkcXjgZjk`io }
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.