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October 23, 2011: A Sheep in the Deep Oct. 22 Oct. 24 2011 FOTD Home
  Rating 7

sheep

Fractal visionaries and enthusiasts:

Today's image is a scene in the East Valley of the large minibrot on the main stem of the Mandelbrot set.  The parent fractal is in fact a Mandelbrot set that takes on order-9 characteristics in its depths.

The minibrot at the center lies near a larger minibrot, which in turn lies near an even larger minibrot . . . At this point I lose count of the minibrots, but I think there are about four of them in the ladder-chain up to the surface.

The name "A Sheep in the Deep" has no connection at all with the image.  It simply popped into my head when I made my mind a blank, a task I find quite easy to accomplish.

The rating of a 7 includes a full point for the coloring, which took over twice as long as calculating the image.  The calculation time of 3 minutes entered into the parameter file is an educated guess of the time the calculation would have taken on the faster but now dead machine.  (The image actually took 12-1/2 minutes to finish on the slow unit.)

The morning fog cleared off by 11am here at Fractal Central today, leading to a sunny afternoon with a temperature of 59F 15C.  The fractal cats, still on watch for a possible return of the fighting tomcats, spent the first part of the day in the window facing the back yard.  But the fighters have apparently moved on, and by the afternoon the fractal cats shifted their watch to the sunny shelf in the southwest window, which faces the front sidewalk.

The humans spent the day doing nothing, which is quite enjoyable when it is done in moderation.  The next FOTD will be posted in 24 hours.  Until then, take care, and would this country's real savior please put in an appearance.

Jim Muth
jamth@mindspring.com


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

A_Sheep_in_theDeep { ; time=0:03:00.00-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-1.749083935595091/+0.00000124195835773\
  /1.4056e+013/1/-42.5/0 params=9/500000000000000.0/\
  0/0 float=y maxiter=2600 inside=0 logmap=333
  periodicity=6 mathtolerance=0.05/1
  colors=00000200300401502603613724835846956A67A78B8\
  8C99CAADBBEBBEBCFBDG9HzAGvAGrAFmAFhBEcBEZBDUBDRQzz\
  PxxOvvOttNqqNnnMkkLhhLefKcdKacJ`aJZ`IYZHWYHUWGTVGR\
  TFPSFOREMQDLPDJOCINCHMBHLBHKBGGAFEAECADAAC8AB6AA4A\
  A5AA6AB7AB8BB9BCABCBBCCBDDBDEBDECEECEFCEGDFGDFHDFH\
  CGICGICGJBHKBHKBHLAILAIMAIN9JN9JO9JP8KP8KQ8KQ7LR7L\
  S7LS6MT6MT6MU5NV5NV5NW5NW7PW9RWBTWDVWFXWHZWJ`WKaWM\
  cWOeWQgWSiWUkWWlWXlWWlXVkXVjYUhYTgYTfZSdZSc_Rb_Q`_\
  Q_`PZ`PXaOWaNVaNTbMSbLRbLPcKOcKNdJLdIKdIJeHHeHGfGF\
  fFDfFCgEBgEAgICeLEdOGcPHbQHcRHaSHYSHXSHUMHUHIUBIU6\
  IU1IUBGUKFWUEOTDG`C9jAFp9Kz7Pi6Vh4_h3dd2Ya1RZ1LV0E\
  N08U1Og2bk2qh8jbEd`KZZQTXWMVaGTgARm4LDpQJnVPl_Vkd`\
  ihfhlZboRYrKT_CNbFLdHJgKHiMFkODjLFihHhmJgmcfmcemcd\
  mccmcUmcLmmZmmlmmymmsmmnmmhpmczzZzzVzzRzzUzzXzz_zz\
  bzzezzhzzkzznzzdzzVzzLzzBzz1zzxzzpzzizzbzzWzzTzzQz\
  zOzzKzzGzzDzz9zzbzzbzzXzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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