FOTD 29-10-10 (Offside [6])

29 Oct 2010

      FOTD -- October 29, 2010 (Rating 6)

Fractal visionaries and enthusiasts:

Today's scene lies off to the side of the large period-2 bud of 
the Mandelbrot set at an angle of 90 degrees.  But since there 
is a complete 360-degree circle of lines in the Julibrot perpen-
dicular to the M-set, we must be more specific.  Today's image 
lies in the direction of the imag(Z) axis, and is centered at 
the point 0.78615 on that axis.

The image is not a perturbed Mandelbrot set.  It is rotated at 
an angle of -19.37 degrees from the Mandelbrot orientation, the 
angle at which it is tangent to the edge of the Julibrot in the 
Elliptic orientation.  When rendered in the conventional manner, 
today's image is a rather boring fractal.  The Fractint program 
cures this monotony with its various inside and outside fills.  
I rendered today's image with the outside set to 'real' and the 
inside set to 'bof61'.

I could rate the image no higher than a 6.  It has too much 
program magic and not enough true fractal stuff for any higher 
rating.

I named the scene "Offside" because it lies off to the side of 
the large bud on the main stem of the M-set.

The calculation time of under 6 seconds is brief enough to hold 
disappointment at bay if the resulting image is seen as lacking.

The easiest way to view the image is to visit the FOTD web site 
at:

       <http://www.Nahee.com/FOTD/>

where it is posted already calculated and ready to be 
appreciated at leisure.

With a temperature of 68F 20C and sunny skies, Thursday was 
pleasant enough here at New Fractal Central, though the wind was 
a bit too blustery for absolute comfort.  The fractal cats spent 
most of their time in the window, watching occasional flurries 
of leaves that fluttered past on the gusts.

My day was uneventful; FL's day was the same.  The next FOTD 
will be posted in 24 hours.  Until then, take care, and a month 
ago my broker told me I could make a pile in the guano market, 
but I must have done something wrong because I dropped a load.

Jim Muth
jamth@mindspring.com

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

Offside            { ; time=0:00:05.59-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0/-0.0000596\
  847054883/272487.8/0.0009874/90/0 params=-19.37/0/\
  0/90/-1/0/0/0.78615/2/0 symmetry=none inside=bof61
  float=y outside=real maxiter=1500 periodicity=6
  colors=000WuVTtYQt`NtcKsfHsiEskDGyCleAe_8ZU7SO5LIz\
  uCzr6xoJrfFhYCXQ9QH6J83d38Y26R25K14D126mzNRzI`mDS`\
  9IP49CTnyPwzLaiIVaEPVAJN7CF367eJdaidU_WMROFIG798Zt\
  DNa8BJ4I1cF0YC0SA0M70H50B205AWz8Sr7Oj6Kb5GV3CN28F1\
  47I1OueoaSYJEHhVxaQoWMfPHYJDQC8H648IP3EK2AF17A1350\
  YO9MG6B834Xw2Mc1BKcUIGoqYFkYYxTTpPPhLLaHHUCCM88F44\
  7iswWtbGSJeMyRkOLaJGSEAJ9594Lg4AM2bQcXMYRISMEMiTWi\
  QXgS_`_m`Zn`Yo`Xn`Wm_VkYUiVRfTQbQO_cMWmPhzWHyVHzbI\
  v`IrbImeJhhJcjJZlIUnHPpGRrFYtEcuEanL`hSZaZYWdRRYLN\
  RFIK9EDHJHPOLXTPdYTlaX_bONcFAd69c58b47a42SF8SNDSVB\
  OQ9KM7GH5CD388144CIR5_e4SX3LP2EG178XorShkObdKWYGQR\
  CJK8DD466cdpUUbKKQAADJlUE_M9OF4C7PT8IL6CE46721Q30L\
  20H20D1081040gF_ZCSQ9LH6E837ZZtQQeHHS88ETs9Oi7J`6E\
  S49I3491sNGgICXD9M96B43nRdPDKMSLGLFBEA575B`zip3UZ2\
  FH15OC3G8184hKHUDBF65cKveQrgWnhajbYeYVaSSYNPUHLQCI\
  M6FI1CE9MHHVJOdLWmNbvPZuS }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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

Jim Muth

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