Fractal visionaries and enthusiasts: 

In yesterday's discussion I said that the day's fractal was filled with hard to find minibrots.  But difficulty is no put-off for me when it comes to finding fractals.  Using the 'fmod' method, I found a minibrot on the first inzoom.  Today's image shows that minibrot.  In the upcoming FOTD's I will show several more minibrots that are equally unlikely.

The minibrot lies in the large field of debris extending southwest from the tooth-shaped open area of yesterday's fractal.  The fuzziness is partly due to the inherent fuzzy nature of the minibrot itself and partly due to a curious breakdown of resolution in the area immediately surrounding the minibrot.  Those using fractal programs with better resolution might be able to clear away part or perhaps all of the fuzziness.

In my opinion, the art rating of a 9 is justified.  And due to the unexpected complexity of the minibrot, the math rating of an 8 is also justified.

The name "Dying Butterfly" describes the first thing I saw in the image.

The calculation time of 4 minutes is on the slow side.  But the web sites are always there to speed things up to instantly.

Today was unpleasant from dawn to dusk here at Fractal Central.  The day began with light snow, which piled up about 3cm before changing to rain in the afternoon, while the temperature slowly rose from 30F -1C to 34F +1C.  The fractal cats took a few peeks at the slush outside but spent most of the day sleeping and playing.  The new fractal cat Jasmine, (we call her Jazzy), is developing into quite an athletic little feline, leaping a meter (3 feet) into the air after her dragonfly toy.  The old fractal cat Nicholas, (we call him Nico), wonders where she gets all her energy.  The fractal people spent the day watching the ice come and go.

The next FOTD will be posted in the proper time.  Since I have no idea what time might be proper, I can give no exact time.  Until whenever the proper time arrives, take care, and no one is perfect.  People should expect only lies and disappointment from the politicians they choose to be leaders.  So to avoid future disappointment, expect nothing, as I did 5 years ago.  A negative attitude might be unpleasant, but it is all too often correct.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Dying_Butterfly    { ; time=0:04:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-6.362700179650554/-2.356504276722922/\
  1.2e+011/1/45/0 params=1.09/0/0/525 float=y
  maxiter=16384 inside=0 logmap=373
  periodicity=6 mathtolerance=0.05/1
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  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================