Fractal of the Day
by Jim Muth

Silvered Mandeloid ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- May 14, 2003   (Rating 7)

Fractal visionaries and enthusiasts:

Once again I have departed from my promise of fractal purity.   I have colored the outside parts of today's image with the <atan> option, which changes the normally flat areas to lively, colorful ones.   I have also colored the normally black inside background a pale sky-blue, a color that, because it resembles earth's atmosphere, gives the psychological impression of infinite depth.

To find today's image, we wander to the very edge of the 'fan' of the parent fractal for May, to an area that is falling apart even as we watch.   In its original form, the scene was falling apart a bit too rapidly, so I solidified it by lowering the bailout radius from 625 to 223, which is very near the point where the scene goes totally blank.

I colored the image a silvery-blue and named it "Silvered Mandeloid".   The rating of a 7 is above average.   If I had not departed from my plan to use only the equal-iteration-bands method of coloring, the image might have rated an 8.

The 15-minute render time can be avoided by going to one of the FOTD web sites and viewing the image there.

Paul's site is:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
Scott's is:
http://sdboyd.dyndns.org/~sdboyd/fotd/

Mostly cloudy skies, a brisk wind, a few sprinkles of rain and a temperature of 63F 17C kept the dynamic duo ensconced safely indoors Tuesday.   They were so busy sleeping that they hardly noticed the less-than-optimum outdoor conditions.

Today is starting a little better.   It is less cloudy and promises to be a bit warmer.   Hopefully, the duo will notice the improvement.   I will notice no improvement until the day's tasks are finished.   Until next FOTD, take care, and be ready to help a fractal in need.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com


START 20.0 PAR-FORMULA FILE================================

Silvered_Mandeloid { ; time=0:15:09.13--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix2 function=recip passes=1
  center-mag=+1.50347722580943400/-1.169078899042974\
  00/2.151038e+007/1/-132.5/2.56574306786716555e-006
  params=-10/-1.1/-1/-11/0/123/0/0 float=y
  maxiter=1200 inside=253 outside=atan periodicity=10
  colors=000RFUSETTDTUCTVBTW9SX8SY7SZ6R_5R`4Ra3Rc2Td\
  2Uf2Vg2Wi2Xj2Yl2_m2`o2ap2br2cs2dt2eu3du4du5dv6cv7c\
  v8cw9bwAbwAbwBbxCaxDaxEayF`yG`yH`yH`wJcuLftMhrOkqP\
  noRpnSslUvkVxaSvSPuJNs9Kr0Iq3Ko5Lm7Ml9NjBPiDQgFRfH\
  SdJUcLVaNW`QXZSYXU_WW`UYaT_bRadQceOefNggLihKfjMdkN\
  blP`nQYoRWpTcqUmsVwtXzuYzwZzx`zyazzbzyczxdzwdzvezu\
  eztfzsgwsgmrhcqhUpiKoj6nj5mk5mk7mf8mbAmZBmVDmREmMG\
  mIHmEJmAKm6Lm2Oi4Rf5Ub6X_7_W8aT9dQAgMBjJCmFDpCEr9F\
  uGJxMMwLLvKLuJLtILsHLrGLqFKpEKoEKnDKmCKlBKkAJj9Ji8\
  Jh7Jg6Jg6JfCMeHPeMSdRVdXYca`cfcbkfbph`nf_mdZlbYkaX\
  j_WhYVgXTfVSeTRdRQbQPaOO`MN_LLZJKXHJWFIVEHUEGTGFSI\
  HUKJWMLYONZQP`SRbUTcWVeYXg_Zia`jcbledngfoihqkjsmkt\
  oipqglsehucdwcawcYwcUwcQwcNwcJwcFwcBwc8wd7we7wf7wg\
  7wh7wk6wn6wq6wt6ww6wzEwzFwzFwzFwzFwzFwzGwzGwzGwzGw\
  zGwzHwzHwzHwzHwzHwzNwzSwzXwzUwzUwzUwzPwz2wz6wzAwzE\
  wzHwzLwzPwzTwzUwzUwzUwzUw }

frm:MandelbrotMix2 {; 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)+(p4)),
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==================================


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