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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: For today's FOTD I decided to see what I could do with the parent fractal that has been the source of the images for the past several days, some of which have been unexpectedly good. To begin, I partially evaporated the parent fractal by raising the bailout radius to 1,000,000,000. Then I tried the different 'outside' options and found that 'mult' works best on the outside parts. Next I found that inside=bof61 works best on the inside stuff. Finally I colored the image with a rather harsh blue and gold palette. The result reminds me of a supernova, which is well enough. But why settle for half-way? Why not go all the way back to the big bang and make it an even bigger bang? I did just this, then I named the image "The Biggest Bang". And with a calculation time of 9-1/2 seconds, it would be hard indeed to get more bang for your buck. I did not want to rate today's image as high as yesterday's, one of the all-time best, yet I consider it above an 8, so I decided on a rating of 8-1/2. While searching for a name, I thought of the theory of inflation, which is the present explanation for the enexpected smoothness of the visible universe, but decided that a big bang was enough. Besides, I need some headroom if an even better cosmic-origin fractal comes along. Actually, no one was there at the real big bang, so anything we decide to say about it must remain an undemonstrated theory, backed by the mathematics of course. Speaking of numbers, as I watch the way we manipulate them until they prove our theories, I sometimes wonder whether the universe is made of numbers. To see the biggest bang take a few seconds to run the included parameter file, or go to the FOTD web site at: Summer heat and humidity continued Sunday here at Fractal Central. With weakened sun and a temperature of only 86F 30C, it was not as oppressive as Saturday, but it was sultry enough to keep the fractal cats in lazy mode. My day was once again mostly adequate. The next FOTD will appear in 24 hours. Until then, take care, and make peace with your fractal formulas. They might be the root of the cosmos Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Biggest_Bang { ; time=0:00:09.30-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-12.0049/6.10011/0.03622717/1/-120/0
params=-5.5/-1.4142/-1.1/-4/0/1000000000.0/0/0
float=y inside=bof61 periodicity=10 outside=mult
maxiter=800 sound=off
colors=00000K0EZPM_VT_cZahcZkhWrlTvpiztszzzzvqzs_x\
pKzmIqiGjeEeaDZZBWX9TW7RV6PVENUMLUUKZaObdS_gVXjZVm\
bSpeQsiNvlLxkOsjRnjTiiWehY`h`WgbRfeNfgIejDel9Yg7Qb\
6IY5BU4DW7EX9GYCHZEJ_HK`JMbMNcOPdRQeTSfWTgYShVSiTS\
jRSkOSkMSlKRmHRnFRnDRoARp8Rq6Rq4KiFDaQ6V`AWWEXRHYM\
LZHO_CS`7V`2TcESePRg_QijNhfKgbLf_MeYNdWOcUPbSQaQR`\
OS_MTZJUYHVXFWWDXVBYU9ZT7ZS5UPBQMHMKMIHSEEYACb69h2\
7m99oFBpLDqSFsYHtcJuiKvkOrmRnnVjpYgqacsd_thWvkTwoP\
yrLzuIytKytLxtMxtOxtPwtQwtSvtTvtUvtWutXutYtt_tt`tt\
attastbstbstcstcstcstdstdrtertertertfrtfrtgqtgqthq\
uhquhquiquipujpujpujpukpukpulpuloumoumoumoun8S_9S`\
9S`AT`AT`BTaBUaCUaCUbCUbDVbDVcEVcEVcFWdFWdGWdGWdGX\
eHXeHXeIYfIYfJYfJYgKZgKZgKZhLZhL_hM_hM_iN`iN`iO`jO\
`jOajPakPakQakQblRblRblQcmRblRbkSbkSbjSbjTaiTahUah\
UagUagVafV`eW`eW`dW`dX`cX_bY_bY_aY_aZ_`Z___Z__ZZ_Z\
Z`ZY`ZXaYXaYWaYWbYVbYUcYU }
frm:MandAutoCritInZ {; 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)+(p4)),
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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