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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image appears to have a large brilliant blue minibrot near its center, with other minibrots scattered generously about. But actually this is an illusion. To begin, the image is evaporated. Everything in it consists of 'inside' stuff made visible by the 'bof61' inside fill. And also, the real(p1) parameter of minus-11 means that any minibrots must be of order minus-11. A problem immediately arises -- minibrots of order minus-11 are an absurdity. If such things actually existed, they would have minus-12 lobes, which is meaningless. Yet there it is in the image, a minibrot, which must be one of order minus-11. Well, maybe according to rules the minibrot is supposed to have minus-12 lobes, but I count plus-10 lobes, making the minibrot one of order plus-11. I guess nature has made sure that something impossible, such as a negative minibrot, does not happen, just as it conspires to prevent backward travel in time or the simultaneous knowledge of both the exact position and momentum of a sub-atomic particle. I named the image "Minibrot in Doubt" because of this confusion. I rated it at a 7-1/4, which includes a 1/4 bonus for my work with the limited number of colors that actually appear in the image. The calculation time of 4-2/3 minutes is user-friendly. The trip to the FOTD web site at: Sun in the morning was followed by clouds in the afternoon here at Fractal Central, while the temperature bogged down at 48F 9C. The fractal cats grew testy when their much-anticipated afternoon sun failed to appear. But my day was acceptable. The next FOTD, in all its glory, (if any), will be posted in 24 hours. Until then, take care, and in two days it will all be over and we can start hoping we chose correctly. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Minibrot_in_Doubt { ; time=0:04:42.50-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 passes=1 float=y logmap=yes
center-mag=-1.2076051079214/+0.01488191850166877/4\
927746/1/-95/0 inside=bof60 periodicity=10
params=-11/11 maxiter=2500
colors=000zrcvqcrpcmochnccmcZlcUkcRicSgcTecUccVbcW\
acXacYacZ`c_`c`_ca_cbZccZcdYceYcfXcgXchWciWcjVckVc\
lUcmUcmUcmUcmUcmUcmUcmUcmUcmUcmUcmUcmUcmTcmScmRcmQ\
cmOclNckMcjKciJchHcgGcfFceDbdCacBabCZaDW_DTZCQXBMW\
AKU9JS8IQ7HO6GM5FK4FI3FG2FE1FC0FA0F80F60F40F00F00F\
00F00F00F00F00F00F00F00F00FZzz3G50112F52E42E42D42C\
42C42B32A31A31931821821721621621510410410310200200\
10000eP3dO2cO2bN2aN2`M2`M2_L2ZL2YK2KLaJK`II_HHZGGY\
FEXEDWDCVDBVYKv_Pp`TkaYfba`dfWejRfoLgsGhwBjmJlcRmU\
YoKepBloFnnIonLqmOrmRslVukYvk`xjcyjfzUqLSrPRrSQrVP\
rYOs`NscMsgLsjKtmJtpItsHtvGutGurFupFunFulEujEuhEug\
DueDucCuaCu_CuYBuWBuUBuTHvTMwTRwTWxT`xTeyTjyTozTtz\
TpvUmsVjpWglXdiYafZZb_W_`TXaQUaSVbUVcWVcYVd_WdaWec\
WeeWffWfTeXFoN2xD1sC1nB1iA1d91_81V70Q60L50G40B3062\
012011011000000agQ`fP_eP_eOZdOZcOYcNYbNXaMXaMW`MV_\
LV_LUZLUZKTYKTXJSXJSWJmOF }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
