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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image consists of a lot of black and white stripes. Zebras have black and white stripes, therefore zebras must be in the image. But a careful search reveals no zebras, leading to the conclusion that the zebras are hidden. This is why I named today's image "Hidden Zebras". Actually, the image is a scene in the (-Z)^(1.5)+C Mandeloid, which not by coincidence is the same figure as the Z^(1.5)+C Mandeloid as it appears minus-PI levels down the log ladder. These Z^(1.5) fractals are frustrating. The midgets in them have a 'they-all-look-the-same-to-me' quality that is hard to escape. Discontinuities converge on the midgets in a boringly similar manner. But hope springs eternal, and I never give up hope that one day I will find a midget in the range around Z^1.5 that is a true prize winner. I added a bit of action to today's image by rendering it with the outside set to 'tdis'. The 'tdis' was worth the effort because when I used it, the rating of the image jumped from a 5 to a 6. The render time of 6-1/2 minutes is not so easily improved. A S.O.T.A. fireball computer is needed to speed up things, and many such new-fangled machines have a nasty habit of being unable to run Fractint, the best fractal generating program of all time. (IMO of course) Another way to view the hidden zebra is to download the completed GIF image from the FOTD web site at: The weather was a bit too warm and muggy for absolute comfort here at New Fractal Central on Monday. But the fractal cats seemed not to mind. They were more interested in lying on their scratching posts by the front windows, watching the birds scrounge for food. My day was somewhat busy. Unless something unexpected happens, which is always possinle, the next FOTD will appear right here in 24 hours. Until next time, take care, and see you then. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Hidden_Zebras { ; time=0:06:37.71--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=multimin-XY-ZW-new function=ident/flip
passes=1 center-mag=-0.44079778487187830/+0.825637\
02539274850/3.832606e+010 params=0/0/1.5/0/0/0/0/0
float=y maxiter=1600 inside=0
outside=tdis periodicity=10
colors=000554333111tnIoiGjeFeaDaYCXTASP9NL7JH6EC49\
83441qhrmdniajeZfaWbYSZUPVRMRNJNJGJFCFB9B767333`4U\
`3S_3P_2NZ2LZ1IY1GY1Ez3raKg0f61L5104aJqUFfMBWF7L73\
AhZgeXecVcaUa_S_YRYWPWUNUSMSQKQOJOMHMKFKIEIGCGEBEC\
9CA7A868646434212x4mm3fc2VU2MJ1D906t47p36m36j35g35\
d25a24Y24V23S23P13M12J12F11C01901600300tv3ST1NooLk\
kKhhIeeHbbFZZEWWCTTBQQAMM8JJ7GG5DD4992661337mm5mm4\
PK3JF2CA165Aq68X46P34G2281m2Ig1Ga1EX1CR1AM08G06B04\
5025MF4KD4IC3GB3FA3D92B82A6185164153032011IvECb96J\
4Im_EcSAUL7KE3A7zmMzfLedKcbJa`I_ZHYXGWVFUTESRDQPCO\
NBMLAKJ9IH8GF7ED6CB5A94873652431210szpovllriinfekc\
bg`_cYW`VTXSQTONPLJMIGIFDEC9B9676333mOmXGXG8Gr_bmW\
ZhTVcQSZMOUJLPGHKDEF9AA67533YlhWifVgdTebSc`QaZP_XN\
YVMVTKTRJRPHPNGNLELJDJHBHFAED8CB7A9587465243121zrm\
slhmgcgaZ`XUVRPPMKIGFCBA655XXUVVSTTQRRPQQNOOMMMKKK\
IJJHHHFFFEDDCCCBAA9887666 }
multimin-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=(-z)^(p2)+c,
|z| <= 36 }
END PARAMETER FILE=========================================
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times.
