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February 7, 2011: In the Wilderness Feb. 6 Feb. 8 2011 FOTD Home
   
extemp

Fractal visionaries and enthusiasts:

The parent of today's image is kind of a distorted Mandelbrot set rotated so that its west side faces south.  It came into existence when I calculated the formula Z^(1.81712)+C at level 10 of the hyperladder.  (1.81712 is the cube root of 6, though this has no significance in the appearance of the image.)

The parent fractal has a very large object just north of the main bay.  This cut-off object is too large to be called a minibrot, so I consider it a sub-parent.  Today's scene lies in a valley of this sub-parent, regardless of what one calls it.

I gave the image no rating, since I kind of ran out of fractal steam and drifted into philosophy-land before the image reached its full potential.  The name "In the Wilderness" describes my mental state while thinking of the name more than the image itself.

The calculation time of over 8 minutes may be reduced significantly by resetting the passes to 'g', but doing so will cause much of the random decoration to be missed.

The calculation may be eliminated totally by viewing the finished image on the FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original web site may be accessed at:

     
http://www.Nahee.com/FOTD/

We were caught nearly by surprise here at Fractal Central on Sunday, when the weather turned almost pleasant, with a temperature of 41F +5C and lots of sun. The sun enabled me to easily clear the remaining ice from the fractal driveway, and also gave the fractal cats a very enjoyable afternoon on their shelf in the window, from where they watched me at work.  FL added moral support and hot refreshment.

The next FOTD will be posted in 24 hours.  Until then, take care, and we appear to live in a universe of three dimensions because this number of mental spatial dimensions is what the human consciousness creates for a field of 'outer' activity.  Theoretical super-advanced aliens probably create a higher-dimensional mental space for their 'outer' activities.  (In all cases the math is contrived to work with what is observed.)

Jim Muth
jamth@mindspring.com


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

In_the_Wilderness  { ; time=0:08:19.11-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=floor passes=1
  center-mag=+0.01155565489096672/+1.143316385076897\
  /8.32084e+008/1/155/0 params=1.81712/0/10/0 float=y
  maxiter=10000 inside=0 logmap=850 periodicity=6
  colors=000000SbrTerVgrXisYls_ns`psbsscusewsfyscup`\
  qnZmlWijUehRafPYdMUaKQ_HMYFIWCEUAAS76Q52OL5MKALJEK\
  JIJIMIIQHHUGHYGGaFFeEFiDEmCEqBDuADyAHmGLaLPQQSFVXJ\
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  itbfqbdncakc_hcXedVbdT_dRabPbaOc`Md_LeYJfXIgWGhVFi\
  UETgDCtGEoIGkKIgNKcPLZRNVUPRWRNYSI`UEbWAdY6fZ2dX5c\
  V8aTA`RDZPFYNIWLKVJNTHPSFSQDUPBXO9ZQBbSDfUEiWGmYIq\
  _JtXPnUUiR_cOdZLjTIoOFtJGsLHrMIrOJqPKqQLpSMpTNwUOe\
  WPnXQszRm_Sl`TlbUkcUkdKlhBmlAjh9hd8f`7cX7aU6_z5XV4\
  VIKTEKRBKQAKP9KO9KN8KM8UL7UK6UJ6UI5UH5UG4UF3cE3cD2\
  cD2cC3cC4mB5mB6mA6mA7m98r99v8Az8AzKBzKCzKDzKDzKCzK\
  CzUCzUCzUCzUCzUCyUCxUCwUCvUCuUCtUCrUFqWIpYLo_OnaRl\
  cTkeWjgZijahldfnfepidrlctobvraxtbzrczpczodzmdzlzzj\
  zzizzgzzfzzdzzczzazz`zzDzzNzzXzzfzzpzzzzzizzUzzEzz\
  FzzGzzHzzHzzIzzJzzJzzrzzr }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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