Fractal visionaries and enthusiasts:

We're back!  Let the banners wave and the trumpets blare.  And now that this little announcement is out of the way, let's get to the fractal.

There are Mandelbrot images and there are Julia images.  And the two varieties look pretty much alike.  There are also Oblate, Rectangular, Parabolic and Elliptic images, and these also look much like the Mandelbrot and Julia images.

Today's scene returns us to the infinitely-divided main stem of the (-Z)^(2.000001)+C Mandeloid in the area just east of the largest minibrot.  But this time we rotate our view 90 degrees around the imag(C) axis, to an orientation I named the Oblate, which is defined by the imag(C) and real(Z) axes.

What we find here is more symmetrical railroad tracks.  There is no possibility of dredging up a minibrot however, for in this orientation the Mandelbrot stuff, including the minibrots, has been stretched to infinity in the real(Z) direction.

But the lower-iteration stuff remains, forming itself into new and sometimes even more interesting patterns.  In today's image we find a nearly symmetrical arrangement of rails surrounding a prominent star-like object at the center of the frame.

The name "The Oblate View" refers to the direction in which we slice the scene.  I could not give the image a rating, since the same color palette has been used so often in recent FOTD's.

The calculation time of one minute will pass swiftly for those who choose to calculate.

The heat was on here at Fractal Central today.  The temperature of 97F 36C was equalled by the humidity, causing the fractal cats to take to the coolest places they could find and stretch out to their full lengths.  The humans, still recovering from a few days of rest and relaxation, took it equally easy.

Until whenever, take care, and if we decide to seriously fight climate change, the battle will be a long and very expensive one, with great sacrifices required.  Who, I wonder, will bear the brunt of the battle cost.  I doubt it will be the wealthy one-percent.

Jim Muth
jimmuth@earthlink.net


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

The_Oblate_View    { ; Time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=+0.000000922\
  11583071/+0.00000054371745837/4.229397e+012/1/\
  -91.45/0 params=0/0/90/0/-1.7453288798516/0/-1.745\
  3288798516/0/2.000001/0 float=y maxiter=1500
  inside=0 logmap=158 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=========================================