Fractal of the Day
by Jim Muth

Terraces Without End ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- November 01, 2007   (Rating 6)

Fractal visionaries and enthusiasts:

Today's image returns us to the sqrt(2) Mandeloid as it appears sqrt(2) levels up the complex logarithmic ladder, where it resembles a limbless torso.   Today's image is located in a rudimentary East Valley in the southeast part of the largest bay.

Since I feel I am overdoing these low-order fractional images, I could rate today's effort no higher than a 6.   I named it "Terraces Without End" because of the terraced effect created by rendering the image with the outside set to 'tdis'.

The somewhat excessive calculation time of almost 12 minutes on the fast machine and one hour on the slow unit is due to the unusually large maxiter of 150,000.   To save time, I have sent the finished image on ahead to Paul at the FOTD web site, where it may be viewed without needing to run the parameter file.   The web site may be accessed at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Near perfect weather here at Fractal Central on Halloween kept the streets filled with assorted T-or-T ghosts and goblins, while the fractal cats kept themselves busy watching and chattering at the local pigeons.

My day was neutral, which is all I can say about it.   The next FOTD is due in 24 hours.   With any luck, it will actually appear at that time.   Until then, take care, and did fractals have a special creation or did they just happen?   And what's the difference?


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

TerracesWithoutEnd { ; time=0:11:58.04-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 params=1.4142/0/1.4142/0
  float=y maxiter=150000 outside=tdis periodicity=10
  center-mag=+0.13498536179728480/-0.001726000041544\
  70/737862.7/1/-102.5/8.45140832317e-011 inside=0
  colors=000mePqgSthUsdTr`TrYTqUTpQTpNTpR_pVepZlparg\
  Ym_ViSSdKO`CLW4ISDGTLFUTEV`DWhCXjJYlQYnWYobZqhZsoZ\
  tuZngShVMbIG`IIZIKXILhINcIOZIQTHMNGHIFDFD8MIHSPQYW\
  Yccfhfhmjkrnmsjjshhsffsddtbbt_`tXZtVXuSVmPTcMRUJPK\
  GNPDLUAJZ8Hc9JhAKmALrBMvBNzCOvCPrDQmDRhEScETZFUoFV\
  oGWoGXkFYhFZdF_aE`ZE`VEaSDbODcLDdIDdJH`KLYKOVLSSLW\
  PMZMNbJNfGOiDOmAPq7Pt4Qu7RuAzvDzvGzrJzmLzwOzxRzxUz\
  yXzy_zyazwZzvXztVOsTLqRJpPGnaEmLBkJ9jHChGFfGIdFLbF\
  O`ERZEUXDXVD_TCbRCePBhNBkLAnJAqH9tF9fENUE_GDl3DyJU\
  vYjslfpmflnfiof0pfcqw`rwYsvVtvSuuPuuMihcYXcNLcMOcL\
  QcLSmKVmKXmJZmJamISmIemHhmHjmGlmGKmDfwBfw9fw7fw5fw\
  3fw3fw3fw3fw3fw3pw3pw3pw3pw3pw3pw3zw3zw3zw5zw6zw7z\
  w8zw9zwAzqBzqCzqDzrEzrFzrGzrKzpNzoRznUzmYzl`zkdzjg\
  zikzhnzgrzfuzefzjTznFzs1zw5zvzzuzztzzszzrzzqzzpzzo\
  zznzzmzzlzzkzzjzzizzizzjzzkzzkzzlzzlzzmzzmzznzznzz\
  ozzozznzz8zzBzzEzzGzzJzzM }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100, p=real(p2)+PI
  q=2*PI*floor(p/(2*PI)), r=real(p2)-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=========================================


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