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Dec. 12, 2014: Floating Elephants Dec. 11 Dec. 14 2014 FOTD Home
  Rating A-5, M-5

floating elephants

Fractal visionaries and enthusiasts:  

Today we continue with the series of images created by the simplest formula of all -- Z^2+C.  Today's image is a scene in East Valley of the Mandelbrot set, which is also known as Elephant Valley.  But the image is sliced in the Rectangular direction, so don't expect the usual elephants.  What we have instead is a stack of floating elephants of various shapes and sizes on the left, and on the right, a featureless pile of elephant back ends.  The name "Floating Elephants" refers to the more recognizable elephants on the left.

The image has been stretched about 300 times in the vertical direction.  Without the stretching, this view of East Valley would be nothing more than a horizontal hairline.

With a calculation time of 1-1/3 minutes, the image is a quick one, though not fireball fast.  Checking the finished image on the web sites will take about the same time.

A cloudy sky with a temperature of 39F +4C made today a typical mid-December day here at Fractal Central.  The fractal cats, with no big fat snowflakes to distract them, spent the day sleeping and playing.  A couple times the youngsters, Jasmine and Lida, annoyed the old timer, Nicholas, but a fierce scowl and hiss kept them under control, while the humans kept busy with other things.  The snow from yesterday, which was all fluff to start, disappeared almost as fast as it had appeared, so there was no need for additional sidewalk clearing.

The next FOTD will be posted in two or three days.  Until then, take care, and think deep thoughts about your favorite outrage.

Jim Muth
jimmuth@earthlink.net


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

Floating_Elephants { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.010602593\
  14105792/+0.2554971796881464/421.2951/0.006604/90/0
  params=90/90/0/90/0.282781/0/0/0/2/0 float=y
  maxiter=6400 inside=0 logmap=17 symmetry=none
  colors=000riiqjbpkXolQnmKmlEliLkeRjaXiYThUPiOMkMIl\
  IFmHBnK8kPJhWTeYicamddiefefhhgikhgsfdueavd_xcZyZcs\
  UbmP`gKZaHXYFVUDTQAPL8IH6BD45987GC9MGBSKDYOFcSHiWJ\
  n_LsXNnUOiSPdPQ_MRVKSQITNHTLJTQNSJSRCLTEOhqLdgJ`ZH\
  XPxk2ng5ec8X`BOXE_L9TOCMREci13CU5FS7IQ9KOANMCPKESI\
  NuMLnKJgJH`Hk3wkZzeYr`XjVWbQVVKUNKhDJeEIcEH`FGZFFW\
  GJVhIUbHUXGURFUL8i3Ae7CaAEYDQkNOhMNfLLdKKbJJ_IHYHG\
  WGYyHUsGRnGOiGLcGIZGnmCbfER_FEUYFUVFUSFUPFUzFUzkGz\
  `LzQQz`EzYGzVIzSKzQMzNOzKQzHSziZzaXzUWzMVzLNzJPzIQ\
  zHSzGTzvrz`ezD7zEFzFNzAszBozClzCizDfzEbzE_zFXzkHz`\
  MzQQz_AzXDzUGzRJzOMzLPzISzOSzMTzLTzmTZmUUmUPmUKm4u\
  mj9mdCmZEmPNmQMmRLmSKmSJmTImUHmESmXomtUmoRmkPmfNmb\
  KmYImKumOgmRUmQqmRgmSZmTPm_3mZ5mY7mX9mWBmVDmUFmI4m\
  5Hm9GzCGzFGzIGzLGzOGzRGzpwzlpzijzfdzbYz_SzXMzQzzSj\
  zTVzirzehzaZzYPz95zKBz5TzAQzEOzIMzMKzQIzxuzIDzLEzO\
  FzRGz6`zcuzbuzavz`vz_vzbo }

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