Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: NEW FORMULA ALERT! The DivideBrot5a formula is a new one. And today's FOTD is good for two days. It's hard to be a fractal visionary when you're looking at the stuff someone else threw out, or a lot of wannabe-country stuff such as feel-good slogans, teddy bears and scented candles. (I think they call this stuff 'primitives'.) Maybe I'm insensitive, but to keep FL happy on Saturday, we went down to an old factory in Duncanon, where they once made Lightning Guider sleds, to look at the stuff there. (I'm ashamed to admit that some of the stuff actually brought back pleasant old memories.) But regardless of how I felt about the expedition, when we got back to FC, it was after dark, and I had no time to do the FOTD for Sep 14. All is not lost however. The FOTD for September 14 is combined with the FOTD for the 15th, and is here now in its full glory. (No claims are made as to the amount of glory.) It's a scene in the fractal that results when Z2 is divided by something like (Z^(-0.75)+1) with the bailout radius set to a chokingly small value of 2. Look at it and like it, or look and laugh, the image is very fast, calculating in 49 seconds. I named it "Eight Heptagons" for obvious reasons. I gave it no rating however, but if I had rated it, I would probably have given it a 5. The easiest way to see the image is to give Paul a chance to post it, and then to view it on the FOTD web site at: Saturday here at Fractal Central was a partly cloudy and pleasant day with light rain in the evening. Sunday was unusually warm, with a temperature of 88F 31C, which would have been warm even in July. The fractal cats slept through most of the inaction. Once I survived the antiquing expedition, (It really was not as tortuous as I put on.), the rest of the week-end was easy. The next FOTD will be posted in 24 hours, and it just might be pretty good. Until next time, take care, and reality is all around you. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Eight_Heptagons { ; time=0:00:48.94-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5a float=y inside=0 logmap=176
center-mag=+0.1439816637241745/-1.048371371384964/\
5.851476e+010/1/-50/0 maxiter=1500 periodicity=10
params=-0.75/1/-14/0 mathtolerance=0.05/1
colors=000UHKUMKUKKULKbPNTKOUNPhZQcUQZUOUQN9GMB1L9\
5O89Q6DT5HV6IP7JJ8KD9L8MZHZlPjzXhsVfmUdgTcaSaWR_QQ\
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fSbdSXbSQ`RJZRCXR6VRRUMjUI_ZGPcFFhEDbNCYWBSdANm9Iu\
11KLEScR_PYPLUZHRgDNp9Ky7Us5cn3mi1vdgrgfibe`YeSTdJ\
OdBKcNEbZ9bi4Xg3Re2Lc1Fa09_0BcADfJEiSGl`HoiFlfDjcC\
h`AfY9dWEgZIj`NlcRoeWrg_tjdwlhyneujbqf_mbYi_VeWSaS\
PYONVLPWPRXTTYWUZ_W_cY`f_aj`amYemWimUlmSpmQsmZnnfi\
oodpw_qggoSonRgoQ`oPToOMoNFo8ES9KTAQUY_XX`_Tb`Pc`M\
e`IfaFhaBia8ja6iZ5iX4hV3hS2gQ1gO6bRAYUETXJO_NJbREe\
VAhYFd`K`cPXfTUiYQlbMogIrkFslIsmLsnNsoQspSsqVsrXrd\
PrSIqFBq24p79oBDnFImJMmNQfUZ_`fTgnMnvZQ2UdEQsPOtMM\
uKLvIJwGIxEGyCFzAIzELzHOzKRzNUzQXzT_zWazZZzaWzdTzg\
QziNzlKzoHzrEztFzoGzkHzfIzbJzZQz`XzbozyjztfzobzjZz\
eVzaPzbJzbDzb7zb1zbHzWMza }
frm:DivideBrot5a { ; Jim Muth
z=0, c=pixel, a=real(p1)-2, d=real(p2)+16
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < d }
END PARAMETER FILE=========================================
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times.