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Fractal of the Day
by Jim Muth
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FOTD -- January 28, 2009 (Rating 8.5) Fractal visionaries and enthusiasts: Today's lively little image came about when one part of Z3 was subtracted from three parts of Z2. The resulting parent fractal is a slightly under-sized Mandelbrot set located just beyond the left edge of the opening frame and rotated 180 degrees so that its negative spike is now a positive spike, (at least it's pointing in a positive direction), and its East Valley is now a West Valley. There is little out of the ordinary about the details of the parent fractal except for a scattering of disconnected extra stuff beyond both the positive (negative) spike and West (East) Valley. Today's image is a scene deep in the most distant bit of debris in the scattering of debris west of West (East) Valley. When rendered in the 'normal' manner, with the 'normal' equal-iteration bands, the scene is dull indeed, but when rendered with the outside set to 'fmod', the scene really comes to life. The entire image has been rotated 180 degrees to return the parent fractal and the minibrot at the center of the image to the normal position, with the spike pointing west. This is a self-imposed rule that I usually follow. I rated the image at an 8-1/2 which includes a half-point reward for the coloring, which gets something from nothing. To see the 'nothing' change the outside from 'fmod' to 'iter'. The name "Peek-a-Brot" must have some significance, but at the moment I can see very little reason for it. The very brief calculation time of 18 seconds can be made even briefer by viewing the finished image on the FOTD web site at: Still proud of catching the mouse on Monday, the fractal cats stood tall here at Fractal Central on Tuesday. The lack of sun, the threat of snow, and the temperature of 27F -3C, didn't worry them a bit. My day was about average. The next FOTD will be posted in 24 hours, which is the average time between FOTD postings. Until then, take care, and never stop searching for the ultimate fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Peek-a-Brot { ; time=0:00:18.86-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=MandAutoCritInZ function=ident inside=0
center-mag=-2.524958827887493/0/2.880577e+011/1/180
params=3/2/-1/3/0/0/0/0 symmetry=xaxis outside=fmod
float=y logmap=28 maxiter=290 mathtolerance=0.05/1
proximity=1 periodicity=10
colors=000zzz0vz0rz0mz0hz0cz0Zz0Uz0Pz0Kq0Kh0Kf0Lj0\
Fn0AqLCnPEkTGhWIf`KZdKRhKKlKCpK5oK0oK0nKAnKEmKImKA\
lK3oLFmMKmNKmOKmPKmQKmRKgSKaTKWUFQV8KW1CXJ4Y`JZVY_\
Ql`LkaGjbBic6hd2geRefMcgJahH_iFYjDWkBUl9Sm7Qk5Oh6N\
e6Lb6K_6IX6HU6FR6EO6CL6BI69G68C6696556426545665674\
7947A38C38D29F29G2CH2FH2II2LI2OJ2RJ2TJ2UK2UK2UK2VK\
2WK2XK2YK2_K6`KA`JDaIHbHLcGOcFNcENcCNcAJc9Fb9Ba98`\
DB_GEZJH_MK`QNaTQbWTcZWd_`e_dg_hh`mk`qnamqaitaewaa\
y`Yz_ThU5mc5xUAwQAwOAvOAvMAuMAuPAtRStUOsWKsYGr`Crb\
8X7jaEaeLUjSLnZDnNFnULoVJoWIpXGpYFpZDq_Cq`Aqa9rb7r\
c6h`OiaMjaLjaKkaJlbIlbGmbFmbEncDocCocApc9qd8qd7rd6\
zi0yh1xh1xg2wg2vf3vf3uf3te4te4sd5rd5zcdyc_xcWwcRvc\
NucItcEsb9FekJdfNdbRdZVdUZdQbdMfdHjdDnd9lclmcimcfn\
ccnc`ncYocVocSpcPpcMpcJqcGqcDraArc7_cdacabcZdcWecT\
gcRhcOjcLkcImcGncDpcAqc7UluWkpYjl_jhaidch`ehXggTig\
PkfLmeHoeDqd9gBamQL68GABF }
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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times.
