FOTD -- December 20, 2011 (Rating 9) Fractal visionaries and enthusiasts: With today's image we get back into the realm of high ratings. The rating of a 9 includes a full point for the coloring. The underlying mathematical elements are pretty good also. The generating expression combines 3 parts of Z^(-3.3) with 6 parts of Z^(-1.1) and adds (1/C) on each iteration to create a hugely oversized parent fractal that is quite attractive in its own right. Once this oversized parent is squeezed onto the screen, it appears as a large bay with a huge ring attached to its northwest side. Today's scene is located in the trunk of the period-10 elephant on the east side of the large bay. The elephant-like features around the perimeter of this bay appear to have additional interesting fractal scenes hidden in them. I will probably post an additional fractal or two from this area in the upcoming days. The name "Lilac in the Night" refers to the purplish areas along the filaments sprouting from the brilliant green elements surrounding the central minibrot. The calculation will require a sacrifice of around 3-1/3 minutes, a fair enough price for an image rating a 9. Those with machines afflicted with DOSaphobia can avoid the hassle of calculation by surfing down to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the image is posted already calculated. The high definition version, which brings out hidden surprises, is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Today was basically unpleasant here at Fractal Central, with heavy overcast, a temperature of 43F +6C, and a raw, damp wind from the northeast. The fractal cats dislike days like this when no sun appears, and they let their displeasure be known by quarreling over who got the sleep in the warmest spot of all, on the shelf over the radiator in the hallway. FL and I spent the day doing routine things such as making minor preparations for the coming holidays, with nothing worth telling taking place. The next FOTD will be posted in 24 hours. Until then, take care, and a local store has a calendar for sale that features patriotic scenes of America. The calendar was made in China! Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Lilac_in_the_Night { ; time=0:03:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+8.1645732412236/-1.848366566451086/\ 1.331239e+010/1/62.5/0 params=3/-3.3/6/-1.1/0/0/0/0 float=y maxiter=1800 inside=0 logmap=300 periodicity=6 mathtolerance=0.05/1 colors=00000F00IH0V50IK0Z80MO0b90KS0e90MT0e90LQ0b8\ 0GH0QB0I70D2040000000000000000300700500B20820H20C2\ 0M40H40Q40O40X70V73`76Z79d9Cd9Fi9Ii9LnBOnBRoBUqBXr\ D_sDbzDez9hzDkzHnyKqtOtrQwpTzkXyi`xbdwZeuVisTmqQpo\ QnmOpkOriMtgMveKwcKy`MzZKyXKyVKyTKyTKySKwQIwOIwMIw\ MIwKIvIIvHHvHHvFHvDHvBHt9Ht9Ht7Ft4Ft2Fr2Fr0Fr0Fr0D\ r0Dp0Dp0Dp0Dp0Dp0Dy0Dt0Dp0Dm0Di0De0Db0DZ2DV0BT0DS4\ DSBDSHFQMFQSFQXHObHOgHOmIMrIMwIMzKKzKKzKKzMIzMI0zK\ biIzMIzQMzSOzTSzXTzZVz`Zzb`webtgepigmkiinmepnbrrZv\ tVwvSyyOzzKzzHzzDzz0zz2zz9zzDzzIwzMrzSkzVez`ZzdTzi\ MzmHzr9zv2zz0zz0zz0zz0zz0zz0zz0zz0zw0yt0wp0vn0vk0t\ g0rd0pb0pZ0nV0mS0kQ0kM0iI0gI0iH0gH0gF0eF0eD0dD0dB0\ bB0b90`90`70Z70Z40X40X20V20V00T00T00SrB0rF0rI2rM2r\ Q4rV7rZ7rb9reBriDrmDrrFrvHryHrzIrzKzz9vzFrzKmzQizT\ ezZ`zdXziTzmIzb9zS0zH0z40z00z00z00z00z00z00z20z40z\ 70zB0zD0zF0zH2zI7zK9zMBzO } 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=========================================