June 29, 2010: Forever Nameless | June
28 |
June 30 | 2010 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image rates a 6. So far, so good. Its parent
fractal is one of the largest I have ever found, needing the maximum
possible outzoom before it fits onto the screen. No problem here
either. I named the image "Forever Nameless", which is
paradoxical because this is actually a name. OK, but fractals are
meant to be observed with the eyes, not to be given clever names.
Today's image is evaporated. I raised the escape radius to one
googol, which caused all the 'outside' parts to vanish, leaving an
image consisting totally of 'inside' stuff. This left-over inside
stuff was then brought to life by the 'bof61' inside fill.
The generating expression combines various negative portions of
Z^(-1.2) and Z^(-4.4) then adds (1/C).
The calculation time of 54 seconds is quite fast, I admit it.
Heavy clouds, high humidity and sporadic rain showers spoiled Monday
here at Fractal Central. The temperature of 86F 30C felt very
sultry -- like an afternoon on the banks of the Panama Canal rather
than the Susquehanna River. The fractal cats, who have never been
to Panama, spent the day stretched on the cool tile floor. My day
was average. FL, who was beginning to worry that it might never
rain again, felt much relieved when the showers fell, even though the
day's rain amounted to only 1cm.
The next FOTD will be posted in 24 hours. Until then, take care,
and be on the alert for alien invaders from space.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Forever_Nameless { ; time=0:00:54.41-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=-6.396910880855549/+1.12547947073241/\
1.606963e+011/1/-17.5/0 params=-4/-1.2/-0.2/-4.4/0\
/1e+100/0/0 maxiter=1600 inside=bof61 periodicity=6
colors=000SFaVFZYFXaEUdERgEPjEMmEJpEHsEEwDBqLGkUMe\
bR_kXUtbZkYYl_Xl`VmbUncTneRofQphPpiOqkMrlLrnKsoItq\
KrmKqjJpgJodJnbIm_IlXHkUHjSHiPGhMGgJGfHFeEFdBEc8Jd\
CNdDSeEWeF_fGdfHhgIlgJqhKuhLziMzfOzcQy`SyXUxUWxRYw\
N_wKawHcvEevAgu7iu4kt0ms2mq4no7om9okBpiEqgGreIrcLs\
aNt_QuYOsTQqPSoKUmFWkFaYEgJDm4EcMEZPFUSFPVFKZGFaGA\
dG5gH0kN0`T0QZ0Fd03RPRDnnDlkEjhJd_OZRTTIZM8aIJeDVh\
8fl3rrQ`xmIkpHZsFod0atMeuUhv`lwhpxppqppjoqbnqWmqPl\
rHkrAjs2in2fi3cd3`_4YV4VQ5SL6PJGRBSQNIOSKLWNI`PFeS\
CdWBc`Abe8aj7`o6_t4Vp4Ql4Kh4Fd4A`44X38Z6C`9GbCLdFP\
fIThLYjPBkeAcd8Wb7O`5G_48Y20WGC_VPciagxnltlmpjnlho\
hfpddq`brX`sSYuXSraMogFlbOlcQieSffUbhW_iYXk_TeWQ_S\
NUNKOJHHEERHJUFLXCN_APb7Re5Ti2Wd8W_EXVKYPQZNRSLTKJ\
VCDca4ntCcdAdh8dl6ep7TY6HJ544GA9RGEbMJmSOyYTmSQmSS\
mSUlSXlSZlS`kTclRamP_nNXoLVpJTqGQpINnLJlNFjQBhT7fQ\
BaRAXRASS9l2Kd6HXADPE94Qn }
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=========================================