|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: The learned Astronomers often wonder what it would be like to actually see with X-ray vision the birth of a supernova. They wonder what they would observe if they could park their well-insulated space craft nearby and watch as the oversize star's core collapsed into a black hole and the resulting shock wave blew the star apart. They could see the rush of neutrinos that herald the imminent explosion blast into space at (nearly?) the speed of light. They could watch as any nearby planets were turned to ash and vaporized. The astronomers cannot do this, learned as they may be, but they can view today's FOTD image and see a slice through the center of an exploding supernova. I named the image "Super-Nova" because I decided that it looks like one. I rated it a 5 because of it's average quality. Also, I'm not sure that the name I chose is the best one possible. I had to add a 'mathtolerance=' entry to the parameter file because the magnitude of the image is so large that it may not render correctly at the higher resolutions. Actually, the scene is not fully resolved even at the relatively low SF5 resolution. The non-zero X-mag and skew factors are also due to exceeding the precision of the math. I tried changing these values in the parameter file to zero, but this caused the image to shrink. A good feature is the short rendering time -- 5 minutes on my 200mhz machine, only a minute or two on a state-of-the-art fireball. (Yesterday's fireball is today's turtle.) The file of the GIF image will soon be available on the W.W.W. at Paul's site at the URL: The fractal weather today (June 22) was cloudy. The fractal cats approved of the temperature of 86F (30C), but disapproved of the thunder, which rumbled for 6 hours before the downpour finally arrived after sunset. Today is Saturday, and it's 10:38am, and I've got a few tasks such as lawn trimming to do. (If it doesn't rain.) This is a good enough reason to end the latest FOTD and start thinking of the next one, which will appear in 12 or 24 hours. Until then, take care, and be neutral in all appropriate things. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Super-Nova { ; time=0:05:03.58--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.39460847258706470/+0.043277920232490\
68/7.833013e+013/0.9999/-132.58/0.058
params=1/-1.8/-0.03/2.5/-7/0 float=y maxiter=800
inside=0 logmap=105 periodicity=10 mathtolerance=/1
colors=000F10F10G20H30I41J52K63N74Q95TB6WD7ZG8aI9d\
KAgMBjPCmTDpWEsZFvaGxaGw`FwYFvVEvSEvPEuMDuKDuIDtGC\
tECtCCoKBjSAeZ9`f8Xm7_nFbnNdnVgnbinjlnrnnyiguearaW\
oYPkUJhQDeM7bPSmRkwzkknjfbiaShXGgS5gN4`J3VG3PD2IA2\
C71641015jB4c93X72Q62K41D3061JgxHbqFZkDUeBQ_K4ZJ8W\
JBUIFSIIPILNHPLHSIGWGGZEGaBFe9Fh7Fk5Hi9JhDLfHMeLOc\
PQbTSaXT_`VZdXXhZWl_VoYWlXXjWXhVYfUZdTZbR_`Q`ZP`XO\
aVNbTMbRQXSUSTYMUaHVeBWi6Xl1Xk4Vj6Ui8ThASgCRfEQfGP\
eIOdKNcMMbOLaQKaSJZXKX`KVeKSiLQnLOrLMvLPeERP7T91UF\
2UK3UQ4VV5V`6Ve7Vj7XlBZmF`nJbpNdqRerUgtYiuakvemxio\
ympzpqwlqtiqqfqnbqk_qhXqeTrbQr_NrXJrUGrRDrO9rL6rJ3\
gOEXTPMY_Bbj1fu9gqHhmPiiWiecjakkYrkVoiYmg_jfahdcec\
ecag``iZZkWYmUWoRVqPTsNSuPVqRXmTZiU`eWbbYeZZgV`iRb\
kNcmKaiJ`fJ_cIZ`IYYHWUHVRGUOGTLFSIFXvvHgr1To4Pq7Lr\
AHtDDuG9wJ5xM2yPGsRTnTfhVscRrbOrbKqaHqaDp`Ap`cMacM\
acMaaKZ`JXZIUYGSWFPVENUDK
}
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 20.0 PAR-FORMULA FILE==================================
|
times.
