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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Do the herringbone patterns so prominent in recent FOTD fractals exist in the odd planes of the Z^(2.0000001)+C Julibrot? As today's image shows, they most certainly do. Today's image skices the Julibrot in the Oblate direction, which is determined by the imag(c) and real(z) axes. In this direction, the scene remains pretty much intact. The herringbones remain where they should be, while the tiny hole still lies near the center. The slices in other odd orientations are far less kind to the scene however, and distort things almost beyond recognition. I will show some of these other slices in upcoming images. I named today's image "Oblate Herringbone". The name is little more than a description of the scene. Considering the image a bit below the two previous herringbone images, I rated it at a 7. The render time of just under 11 minutes may be avoided by viewing the finished image from on the FOTD web site at: Increasing clouds and warmer temperatures here at New Fractal Central on Monday went un-noticed by the fractal cats, who still can not figure out why the carpets in the hallway no longer slip so easily. The big excitement of the day came when Nicholas tried to dislodge Cassie from her favorite warm radiator cover. He was rewarded for his effort by a swift hit on the top of the head. Luckily, all had been settled by the time evening snack time arrived. My day remained slow. The big job that was originally due in this morning has been delayed until Wednesday at the earliest. Undoubtedly, it will still be needed on the original date. The next FOTD will shine forth in glory 24 hours from now. The glory will be in the eye of the beholder. Until then, take care, and where are all the scientific breakthroughs that were supposed to be brought about by the space shuttle program? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Oblate_Herringbone { ; time=0:10:51.53--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=multirot-XY-ZW-new function=ident/flip
passes=b center-mag=+0.00000000035115616/+0.000000\
00000068196/2.490884e+010/0.004515/-0.111270026331\
318467/-89.827 params=0/90/2.0000001/0/-1.74994915\
4546508/4.809332442e-007/-1.749949154546508/4.8093\
32442e-007 maxiter=2000 inside=255 periodicity=10
float=y logmap=750 mathtolerance=0.05/1
colors=000mXbkZfi`jgbmedqdftbcqa`n_YkZVhXSeWPbUM`T\
JYRGVQDSOCPMAMK8JI6GG4DE2AC07A04800F0zFczPczZczYcz\
YJcXOWXTSXYOWbKWgGVlCVq8Vv5Uu6Tu7Su8Ru9QtAPtBOtCNt\
DMsELsFKsGJsHIrIHrJGrKFrLEkTDd_DZfCSmCMtFPuIRuLTuN\
VuQXuTZuV`uYbu`dubfuTcaJ`JAZ0NWG_TWlQkyOzvPysQypRx\
mSxjTxgUwdVwaVwZWvWXvTYuQZuN_uK`tHatFatoffjjXemOfl\
SgkWhk_n5Lo4Gp4Cq48o5Bm6Dl7Fj7Hh8Jg9LeANdAPaHTZNXW\
T`6Hl3HC7FBBEAED9IC8MB7PA6T95X84_74nF5lE7kE8jD9iCA\
gBCfADeAEd9Fb8Ha7I`6J_6KYATWEaVIjQEeLBaG8XB5TD9SEC\
SFFSHISILRJORLSRMVRNYQP`QQcQRfQSfPTePUeOVdOWdNXcMY\
cMZbL_bLcWOgQRkKToDWs7Zw1```tZZuXYuWWuUVvTTvRSvPQw\
_XnYZoWWnUUmSRlQPkONjPNge5XiN`oUYzcVzzSzzPzzMzzczz\
tzzszzrzzqzzqzzpqpopcopZnp`mobmoelngknikmkjmmimmiz\
zhhhheegcbg`ZfZWfXTfUQeSNePJdNGdKDcIAcG7cF9aEA_DCY\
CDXBEVAGT9HS8IQ7KO6LN5NL4OJ3PI2RG1SE1TD5WH8YKB_NPQ\
JbGFo7BsFGvMLtPPrRTpTWnV_ }
frm:multirot-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.
