March 18, 2006: Jaded Fractal | March 17 | March 19 | 2006 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image returns us for the first time in quite a while to the
MandelbrotMix4 formula, where we examine the fractal that results when
Z^(-1.5) is subtracted from Z^(1.5) and (1/C) is added.
The parent fractal appears as a moderate-sized Mandeloid lying well
north of the origin, with smaller, mostly shapeless holes scattered
about. One of these scattered holes has a rudimentary East Valley
on its east side. Today's scene is located in this valley.
I rendered the image with the outside set to 'tdis', which IMO works
best. Several other outside options also work well.
Perhaps a bit over-enthusiastically I rated the image at an 8. It
appears unique enough to earn such a superior rating. I named the
image "Jaded Fractal". The name was inspired by the jade green
coloring.
The passes=b option works with today's image, and it is by far the
fastest, rendering the image in well under two minutes on my worn-out
old machine.
Morning clouds and flurries of snow, followed by too-chilly afternoon
temperatures here at Old Fractal Central on Friday kept the fractal
cats outdoor time limited to less than 1/2 hour. But despite the
inconvenience, their moods remained acceptable.
With all the work and all the stuff that needs to be done, my mood
tended toward the sullen side. The next FOTD is due in 24
hours. Until then, take care, and is the search for the meaning
of life a true search, a folly, or none of the above?
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Jaded_Fractal { ; time=0:01:46.06--SF5 on
a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=-0.18033703023777850/+0.390885560333783\
60/860514.9/1/157.5/7.11596189403862489e-008
params=-1/-1.5/1/1.5/0/0 float=y maxiter=600
inside=255 outside=tdis periodicity=10
colors=0003RI0OE0KAcYniVhSIbTMYSPSLNMFLH9JBP1`K5UG\
8OBBI7ECKmTIiRHfPGcNE`LrzpoznegcaVbYIbbRWg_QlhKpqE\
joKdmQZkWTjaNhgHfmBesH`mMWgRRbWNXaIRfDMk8Gp4Bm6Dj8\
EgAFeBGbDH_FIYGJXFPXFUWFZWEdVEiVEnYMr`Uvbazedshflj\
iemkZpnSrpLusEwu8tr9rpAomBmkCkiDhfEfdFdbG__NWYURW_\
NUfISlEQsAOyFMqJKiNIaRGUVEMZDFZJDZPBZUAZ_8Ze6Zj5_f\
A`bFaZKbVOcRTdNYeJbeGfc`_auTYjZV`dSRjWNi_JicFigBik\
8if9dbA_ZBVVCQRDLNEGJEBFFABG87H7NxHLuGKrFJoEHlEGiD\
FfCDcBMeZKjYIoXHsWoC0ZE24J6JG4KcbI`_GZXFXUDVRCTOAR\
L9PI7NF6LC4J91I92H82H82H82H72H73H73H63H63H66ar5Yi5\
Va4RU4OM3KELqgJndIkaHiZFfXEcUDaRCZPAWM9UJ8RG6OE5MB\
4J88Gs7Hi6H_5HQ4HGXaBIR8n_NkYLhXKeWJbVI_UHXSGURFRQ\
EOPDLOCIMBFLACK99J86I78D16E35F44G5AdA8`97X86T85P74\
L6k9sgAodBk`BgYCcUD_RDWNETKEPGFLDGH9GD6H9o0Ze4TW7N\
MBHCEB`FoKGT2Tc3S`3RY3QV3PS3OP3NN3MK3LH3KE3JB3I82w\
r3sm3oi3le3ha3eY3aU3YQ000 }
frm:MandelbrotMix4 {; 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,
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=========================================