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Fractal of the Day
by Jim Muth
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Fractal enthusiasts and visionaries: I named today's fractal "Ylem", a strange name indeed. The word looks like someone's name spelled backwards. Actually it's the name sometimes gave to the primordial substance from which all the elements were formed. It existed for only a tiny fraction of a second after the "Big Bang", which, according to most astro-physicists, started our universe going. I got thinking of ylem when I picked up the local newspaper this morning and saw an article stating that some physicists have recreated ylem in the high-energy laboratory. Of course, no one can hold a blob of ylem in their hand, or even preserve it in a bottle, but the signs are there that for an instant, the primordial ylem soup actually existed. Today's fractal may not resemble actual ylem, but when I saw it, I was reminded of vast energies in the realm of the sub-atomic. It's a rather simple scene, with bubbles surrounded by chains of satellite bubbles, while other bubbles are caught in the act of fissioning. The image was generated by the 12th and last in my series of MandNewt formulas, which are variations of the Ikenaga function. At almost 13 minutes, the parameter file is slow enough to make a download the better choice. That download may be obtained by going to the Usenet group: The fractal weather today was cloudy and cold, with one or two flakes of snow. The temperature of 28F (-2C) was far too chilly for the fractal cats, who hugged the nearest radiator for most of the day. I had honestly intended on starting a new round of fractal philosophy in today's FOTD, but I just haven't been able to find the on-switch. I'll try again tomorrow. Until then, take care, and three-dimensional space isn't too bad after all. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Ylem { ; time=0:12:48.68 SF5 on a P200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=mandnewt.frm
formulaname=MandNewt12 passes=1 center-mag=+0.403429\
68397223660/+0.51589266229361830/1809.284/1/135
params=-1.1716/2.7928/-0.4553/-0.7357/1.1101/2.4508
float=y maxiter=250 bailout=25 inside=bof60
logmap=yes symmetry=xaxis periodicity=0
colors=000SSX<3>OMQNKPLJMJIL<2>HEHGDFFADE9CD7A000zfz\
cUmUKcKAY<3>KAYYVI<6>HRNFQOCQO<3>3OR<22>QMZRMZSMZ<3>\
WM`XMaYMa<3>_Mc_Md_Md_Me`Me<34>cMocMocMp<3>cMpcMpcMp\
cMpUnm<17>NgWMfVMfULeTLeSLeR<2>EbPBaOA_P<6>9`L9`L9`K\
<3>9aIHuNFuODuO9vN<18>XrPYrP_rP<2>brPcrPdpR<8>ifdjee\
kcg<2>l`km_mo`o<21>TBaSA`R9`<3>N5Yhiuhkuhmuhnu<13>TUZ
}
frm:MandNewt12 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-1)*(z-b)
j=c*z^d+g
z=z-e*h/(f*j),
.0000000000000000000000000000005 <= |h|
}
END 20.0 PAR-FORMULA FILE==================================
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times.
