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July 19, 2012: Oblate-Rectangular July 18 July 20 2011 FOTD Home

oblate rectangular

Fractal visionaries and enthusiasts:

Today's image is yet another and most likely the last scene in the same parent Mandeloid that has been so prominent this month.  As the name "Oblate-Rectangular" shows, the orientation today is halfway between the Oblate and the Rectangular.  To achieve this orientation the entire Julibrot is rotated so that the line in the Z-plane halfway between real(Z) and imag(Z) is perpendicular to the Mandelbrot plane.  Then the direction of the slice is rotated from the Mandelbrot orientation 90 degrees around the imag(c) axis.  (If it's hard to picture, it's even harder to describe in writing.)

The same maze of railroad tracks is still there, but the tracks have now grown so tiny that only a toy train could run on them.  The central star-like object at first appears symmetrical, but a closer look reveals that it is not.  In fact, look close, the apparent symmetry of the entire image is an illusion.

I could not give today's image a rating.  The scene and colors have been worn very thin by so much over-use.

The calculation time of 45 seconds is unusually fast for a calculation of such complexity.  But the web sites are always there to take away all calculation anxieties.

Ample clouds and a temperature of 84F 29C made today totally unmemorable here at Fractal Central.  A light shower fell in the morning, but it was of little consequence.  The fractal cats have finally forgiven us for leaving them alone for three days with plenty of food, water and litter, but no companionship, and have spent a good part of the day in their cat cube complex.

We humans had another notably average day -- peaceful for us but boring for those who seek gossip fodder.  The next FOTD will be posted in the future-time direction, distance yet to be determined, but 24 light-hours is a good estimate.

Until whenever, take care, and poverty exists when people have too little money to achieve the average living standard of the society in which they live.  Therefore poverty can be eliminated simply by giving the impoverished the money they need to raise their living standard to the average.  Why then has this never been done in the war against poverty?  (Perhaps the problem is that simple minds seek simple solutions.)

Jim Muth
jimmuth@earthlink.net


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

Oblate-Rectangular { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=1
  center-mag=+0.00000011840316823/+0.000000000398086\
  79/6.185399e+008/1.6251/0/-37.5184298489989771
  params=45/90/0/90/-1.7453288798516/0/-1.7453288798\
  516/0/2.000001/0 float=y maxiter=750 inside=0
  logmap=103 periodicity=6
  colors=00000A00B00E10H25K3AN4FQ5KT6PW7U_8Yc9agAekB\
  ioClsAotDpzGmyJitMeoLaiKYcKUYKQSKMMFIHAEC074042A92\
  FI2KT2N`AP`JYXSfT`dVQbWFaY4kgLuqarXPpDCfCJXAQO9X0u\
  c3bZ5KUCKd9BX842P9Of5jz_rgDcfTfZMaEFYA8UuI44yq5jj6\
  Wc7HXBFrABj98c85XVx7PiCJVHDGM8S27L87FE78KEc_zvZZUU\
  f3HAIE8AK5lW6`U6PT7DRO8TJ6SF5RB3Qt18A5G94K83N2`55J\
  G6U87GHXB2K69Y_SRRRKJRDAQ0dWFUXCKU9BSbb9SQFHELDjDz\
  tC`ZHMIMJCDJCDI87H52I92IC3JF4JI5JM6KP7KS8KV9NYEP`I\
  ScMUfQX`UZlYaoacredqbep`fyZgoXhoVinSjnQjyOklMllKmk\
  HnkFojDpjBqi9qi7py3r2rp6ooAlnEimIflMdkQajUZiYWhaUg\
  eRfiOemLdpJeiLfcNgcPhcRicTjcUkcRkcOkcMkcJkcHkcElmB\
  lm9lm6lm4lz2lz2nz2pz2qz2sz2tz2vz2wz2yz2zz2sz2lz6ez\
  CZzITzNVzOWzPXzPYzQZzQ_zR`zRazSbzSczTdzTbzPazL_zHZ\
  zDYz9Jz24z25z25z25z25z25z25z25z2Cz2Iz8PzEVzKfzKqzK\
  DzFCzICzKCzMCzOBzRBzTBzVBzXCzTDzQEzMFzJGzFFzCKz8Pz\
  5Uz2Zz2cz2hz2mz9rzGwzNzzZ }

frm:SliceJulibrot5   {; 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=========================================