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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The parent fractal of today's fractal image was created when I subtracted 0.2 part of Z^(-7) from 0.2 part of Z^(3) and added (1/C). This parent appears as a large area of bubbly fractal debris filled with vaguely Mandel-shaped holes. Today's scene is located in the split-apart East Valley area of one of these almost-Mandelbrot holes. The unusually bubbly effect so obvious in the image was achieved by setting both the inside and outside to the 'fmod' option and the proximity factor to 1. With hardly a spare moment to think, I gave today's image neither name nor rating. But this does not mean the image is worthless. It actually is a rather interesting image, easily worth the 5 minutes required to calculate it. But 5 minutes is 5 minutes too long for those with not a minute to spare. These fractalists, as well as those with over-qualified computers, can view the completed image on the FOTD web site at: Saturday featured lots of clouds here at Fractal Central, but the temperature warmed to a comparatively balmy 34F 1C. The cats of the fractal variety were satisfied just keeping warm. My day was very busy, but despite the rush, a fractal was found. And the next one will appear when 24 hours have passed. Until then take care, and keep your cool. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Jan_28_07 { ; time=0:05:04.88--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.11071407594409300/+0.083632827961762\
36/4242213/1/87.5/-9.99377263687e-007 params=-0.2/\
-7/0.2/3/0/0 maxiter=500 inside=fmod periodicity=10
float=y proximity=1 outside=fmod logmap=yes
colors=000rzzkzzjzyizxhzwgzvfzueyteyseyreyrexqexpe\
xpexodwndwmdwmdwldvkdvkdvjdvicuhcuhcugcufcufctectd\
ctcctcbsbbsabsabs`br_brZbrZbrYaqXaqXaqWaqVapUapUap\
TapSapS`oR`oQ`oP`oP`nO`nN`nN`nM_mL_mK_mK_mJ_lI_lI_\
lH_lGZnF_mG_mG_mG_mG_mG_lG_lG_lG_lG_lG_lH_kH_kH_kH\
_kH_kH_kH_jH_jH_jH_jI_jI_jI_iI_iI_iI_iI_iI_iI_hI_h\
I`hJ`hJ`hJ`hJ`gJ`gJ`gJ`gJ`gJ`gJ`fK`fK`fK`fK`fK`fK`\
eK`eK`eK`eK`eK`dL`dL`dL`dL`dL`dL`cL`cL`cL`cLacMacM\
abMabMabMabMabMabMaaMaaMaaMaaNaaNaaNa`Na`Na`Na`Na`\
Na`Na_Na_Oa_Oa_Oa_Oa_OaZOaZOaZOaZOaZOb_NaZOaZO`ZO`\
ZO`YO_YO_YO_YOZYOZXOZXOYXOYXOYWOXWOXWOXWQWWSWVUVVW\
VVYVV_UUaUUcUUeTUgTUiTThSTgSTfSTeRSdRScRSbQSaQS`PR\
_PRZPRYORXOQWOQVNQUNQTNQSMPSMPRMPQLPQLPQLOQKOQKOQK\
OQJNQJNPINOINNINMHMLHMKHMJGMIGLHGLGFLFFLEFLDEKCEKB\
EKADK9DJ8CJ7CJ6CJ5BJ4BI3BI2AI1AI0AH09H09H09H08H08G\
08G07G07G09J08I08I08H08H0 }
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.
