|
Fractal of the Day
by Jim Muth
|
|
FOTD -- January 13, 2009 (Rating 8) Fractal visionaries and enthusiasts: This month is January, not July. To atone for the error I made yesterday, we have a fractal that can not only be considered different, but is also one of the smoothest colored of all time. Unfortunately, with a palette of only 256 colors and only half the colors actually appearing in the image, the bands are still visible, but they are subtle enough that they almost disappear. The image consists totally of 'inside' stuff made visible by the 'bof60' inside fill. Changing the 'bof60' to 'numb' or 'maxiter' results in a totally blank screen with only a few tiny left-over dots of 'outside' stuff. The other active inside fills also give interesting effects, and are worth a try. The name "The Missing Stem" refers to the figure at the center, which is a true Mandelbrot set with only its main stem missing. The rating of an 8 includes a reward of a full point for the hour of tweaking I did to get the colors as smooth as possible. The calculation time of 21 seconds is brief enough to cause no frustration. The finished image is posted on the FOTD web site to make it even simpler to see the image. The web site may be accessed at: Partly cloudy skies and a temperature of freezing made Monday about average here at Fractal Central. The fractal cats, who prefer things better than average, did not appreciate the periods when the sun was obscured. My day was slow enough to give me time for the extra coloring effort on the image. The next FOTD will appear in 24 hours, and this time I'll get the date right. Until then, take care, and be at one with whatever you decide to be at one with. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Missing_Stem { ; time=0:00:20.58-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot6 float=y passes=1 logmap=yes
center-mag=0/0/0.76 symmetry=xaxis periodicity=10
params=-204/208/0/1600 maxiter=1000 inside=bof60
colors=000zzzvzutzqrzlpxinuhlrgjofhlefiddfcadcZbcW\
`cTZcQYcPXcNWcMVcLUcKTbJSaIS`HR`GR`FR`ERaDRbCRcBRc\
AQd7Qd6Pe5Pe4Oe3Of2Nf1Mf2Mf2Mf2Lf2Kg2Kh2Kh2Kh2Kh3K\
h4Kh5Kh6Kh7Kg8Kg9KgAKeBKeDKeFKeHKeIKeJKeKKdKKdKKdK\
KdKKdKKdKKcKKbKKaKK`KK_KKZKKYLKXLKWMJVNJUOITPISPIR\
PIQPIPQIORINRIMRILRHKRHJQGIPFHOEGNDFMCELBDUvvUwuVv\
tWutXttYstYrtZqtZpt_ot_nt`mtaltaktbjtbitchtcgtdftd\
etedtectfbtgatg`th_thZtiYtiXtjWtjVtkUtkTtlSqkSojSm\
iSkhRigRgfQeeQcdPacP_bPYaOW`OU_OSZOQYNOXNMWNKVMIUM\
GULETLCTKDSKESJERJFRIFQIGQHHPHHPGIPGIOFJOFKOFKOFLO\
FLOFMOFNjfNjfOjeOjdPjdQicQicRibRiaSiaTi`Ti_Ui_UhZV\
hZWhYWhXXhXXhWYhVZgVZgU_gU_gT`gSagSagRbgRbiQcjPckO\
clNdmMdnLdoKepJeqIerHesGftFfuEfvDgwCgxBgyBgxCfxCfx\
CewCewCdwDdvDcvDcvDbuDbuEauEauE`tE`tE_tF_sFZsFZsFY\
rFYrGXrGXqGWqGWqGVqHVpHUpHUpHToHToISoISnIRnIRnIQnI\
QmJSlKUkKWjLYiL_hMagMcfNe }
frm:DivideBrot6 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2,
d=real(p2)+0.00000000000000000001, f=imag(p2)+16:
z=z^(a)/(z^(-b)+d)+c
|z| < f }
END PARAMETER FILE=========================================
|
times.
