Fractal visionaries and enthusiasts: 

The strange object in today's image is a fractal bay trying to become a quadratic bud in the parent fractal that results when the formula Z^(1.333)+C is iterated 333 levels up the complex logarithmic hyperladder.  This parent is a very unimpressive blob, an open area with almost nothing to attract interest.  There is a small bay on the southern shore of the open area however, and it is this small bay that appears in today's image.

Do not be fooled by the great height of today's scene on the hyperladder.  The so-called hyperladder actually more of a hyperspiral, and the images found on it are a recurring periodic series rather than an infinity of ever new and more interesting fractals.

The name "Straight and Narrow" does not refer to the difficult path to heaven.  It describes the filament extending from the bud, which is filled with small minibrots.  (Some of these minibrots might be worth a look.)

The artistic worth of an 8 could be just a little inflated; the math worth of a 7 seems right on the mark.

The calculation time of 1-3/4 minutes is a fair price to pay.  For more fairness check the web sites.

The day began with rain here at Fractal Central.  The rain ended by 10am, leaving clouds that hung on into the afternoon until the rain resumed at 3pm.  Ice and snow are expected tonight, but with a present temperature of 45F +7C, it will have to get quite a bit colder before anything frozen will fall.  The fractal cats had little time to worry about the weather.  Jazzy was too busy acting like a kitten and Nico was too busy watching her act so crazy.  The humans had a rather quiet day, which is the way we like it.

The next FOTD will appear in the near future.  Until it does, take care, and I hear a lot of complaints about a lack of equal rights.  If this were true, it could be remedied by proper legislation.  But we have had laws granting equal rights for half a century.  As I see it, the problem today is both a lack of the incentive to take advantage of the laws and the inability to do so.

Jim (leaning to the right today) Muth
jimmuth@earthlink.net


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

StraightAnd_Narrow { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=t
  center-mag=-0.369975/-0.635203/4.61/1/-167.5/0
  params=1.333/0/333/0 float=y maxiter=4050
  inside=0 logmap=11 periodicity=6
  colors=00000000001A12A23C34E45G56I67K77M87O98QA8SB\
  8SC9SD9SE9SDASDASCASBBSBBSABS9CS9CS8CS7DS7DS9GOAIK\
  BKGDNCEP8FR4HR9IREJRIKRNLRRMRWNR_PSZQTZSUYTVYUWXWX\
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  QqrOnoNmlMmiKmgJpdIrcIraGrZFrXErUDrRBrOArMArJlcLlc\
  MlcNlcOlcPlcQlcRlZSlZTlZUlWUlXVlYWlZXl_Yl`ZlX_lY`l\
  Zal_bl_bnYZoXWpVSqUPrTLtRIuQEvPBwN7xM4yL1tO5pQ9lTD\
  hVHcYLc_PcbTcdXce`cedcfhcflcgpciscgrcfrcdrccrcbqc`\
  qc`qcaqcapcbpcbpcbpcaoc_ocZocYocWnbVndTnfSnhRmjPml\
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  8uX6vW4wW3xV4yV4zU4zU4zT4zT4zTKzSKzSKzRKzRKzQKzQKz\
  QKzPKzPKzOKzOKzOKzNKzNKzMKzMKzLKzLKzLKzKKzKKzJKzJK\
  zIKzIKzIKzHKzHKzGKzGKzGKz }

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=========================================