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Jan. 25, 2013: The Seahorse Valley Jan. 23 Jan. 27 2012 FOTD Home

seahorse valley

Fractal visionaries and enthusiasts:  

I named today's image "The Seahorse Valley", and why not.  That's what the image shows.  Yes, I know it looks nothing like Seahorse Valley, but it's not the familiar Mandelbrot or Julia views of the valley.  Its orientation is off in some remote 4-D orientation not too far from the Julia aspect of the valley.

The close-to-Julia nature is apparent in the outer shape of the figure.  The more interesting inside stuff exists because the angle of the slice has been rotated six degrees toward the Oblate orientation and one degree in another unimaginable 4-D direction.

I declined to rate the image, since Seahorse scenes are so common in FOTD history.  If the image had not been such a slow one, I might have rated it at a 7, but 15 minutes is quite a wait for an image to finish, especially when it lies out in a hyperspace no-man's land.  Those who view the image on one of the web sites will avoid the calculation wait and get quite a bargain.

The 24th brought a mix of sun, clouds and more cold weather to Fractal Central.  Today brought clouds and snow.  At post time about 1-1/2 in. or 4cm had fallen and the snow was still falling lightly.  The fractal cat spent the day watching the flakes come down and lying by the heat.  The humans spent the day getting the work finished and readying the snow shovel.

The next FOTD will be posted in 24 hours.  Until then, take care, and why doesn't the other side see that it is wrong?

Jim Muth
jimmuth@earthlink.net


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

The_SeahorseValley { ; time=0:15:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=t
  center-mag=0/0/1.037/1/-35/0
  params=84/0/90/1/-0.75/-0.005/0/0/2/0 float=y
  maxiter=32767 inside=0 logmap=yes periodicity=0
  colors=000hKdhLehMfhNghOihQjhRkhTmhVnhWphYqh_rh_th\
  auhavhcwhcwhcwhdwhdwhewhewhfwhfwhfwhfwhfwT22V68X9D\
  ZDI_GNaKScNXdQacP`bP_bO_aOZaOY`NY`NX_NWZMWZMVYMVYL\
  UXLTXLTWKSWKRVJRUJQUJQTIPTIOSIOSHNRHMRHMQGLPGLPGKO\
  FJOFJNEINEHMEHLDGLDGKDFKCEJCEJCDIBCIBCHBBGABGAAF99\
  F99E98E87D87B86B76A75B74A65A65A65C64874E70B61D71F6\
  2F62G72G73H83I83K84L94N94OA5QA5RB5TB6UD6WD6XE7YF7Z\
  E8_F8_G8_G9aH9cI9dJAeJAfKAgMBhOBiQBjSCmUCnXCo_DqaD\
  pcDogCmmBmoBmqAmsAmq9mo1mm5ml9mkDmiGmeKmaOv_SwYRwW\
  RwUQwSQzQPzPPzOPzOOzOOzPNzPNzPMzPMzQMzQLzQLzRKzRKz\
  RKzSJzSJySIxSIwTHwTHwTHwUGwUGwUFwVFwVFwWEwXEwYDwZD\
  w_CwaCwbCwcBwcBwcAwcAwcAwc9wc9wc9wc8wd8we8wf8wg7wh\
  7wi7wj7wk6wl6wm6wn6wo7wp7wq8wr8ws8wt9wu9wvAwwAwxAw\
  yBwzBwzBwzCwzCwzDwzDwzDwzEyzEzzEzzFzzFzzGzzGzzHzzH\
  zzLzzPzzUzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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