Fractal visionaries and enthusiasts: 

Today's image lies in an easily missed parent fractal that comes into existence when Z^(100) is blended with 2 parts of Z^2 before straight C is added on each iteration.  This parent is a lopsided series of circles, one inside the other, centered well west of the origin, with a tiny Mandelbrot set along the X-axis, rotated 180 degrees, with its west end facing east.  Today's scene lies in an elephant-trunk spiral in the East Valley of this tiny M-set.

If the formula function is changed from 'ident' to something else, the parent fractal loses its circular X-axis symmetry and changes into any number of grotesque shapes, but the inner details remain the same.

The name "The Mandy in Space" has some connection to a futuristic scene in some old sci-fi movie.  I forget exactly which movie was the inspiration.

The artistic rating of a 7 indicates a little above average satisfaction; the math rating of a 6 indicates near average mathematical interest.

The calculation time of 1-1/4 minutes will pass as swiftly as the time required to check the image on one of the web sites, but checking the web sites will eliminate the task of setting up and running the parameter file.

Today was rather unpleasant here at Fractal Central.  Heavy clouds hung overhead all day, and rain fell constantly, varying from very light to rather heavy but never stopping entirely.  To make things worse, the air was totally saturated, making the temperature of 70F 21C quite oppressive.  The fractal cat took no notice of outdoor things, finding satisfaction instead in his treat of turkey and cheese.  The fractal humans had an everyday day indoors.

The next FOTD will be posted one day in the very near future.  It could even be tomorrow.  Until whenever, take care, and every time I see or read an official scientific explanation of how the neural network of the brain creates self-awareness, I just can't grasp the connection between the material neural network and the non-material conscious awareness of one's own existence.

I guess I'm not as smart as I thought I was.

Jim Muth
jimmuth@earthlink.net


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

The_Mandy_in_Space { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=-0.8662519660562518/-0.0868356105845902\
  /6.607561e+011/1/67.5/0 params=1/100/2/2/0/0/0/0
  maxiter=3000 inside=0 logmap=133 periodicity=6
  colors=00000501702903B03D04F05G06H07I18J2AK3CK4EL5\
  GL6IL7KK8MK9OKAQKBSJCUJDWJDYJE_JFaJGcMHePIgUJiZJkc\
  KlhLmmLnrLovJpzJnvImrHkmHjhGhcGfZGdUGaQHZNHVMHSLHP\
  KHJJIFIIAHI6GJ8JJFLKKOKPQLUTMZVMbYNg_NlbOpdOtgPxiO\
  vjMtjLrkJplInlGlmFjnEhoCeoBcp9aq8_q6Yr5Ws3Us2St3Ts\
  3Uq4Wp5Xn6Ym6Zl7`j8ai8bh9cfAeeBfcBgbChaDj_DkZElYFm\
  WGoVGpTHqSHrRGpSFnSEmSEkSDiSChSBfSBdSAcS9aS8`S8ZS7\
  XS6WS5US5SS4RS3PS6QR8RQBSPDSPGTOIUNLVMOWLQXKTYJVYJ\
  YZI__Hb`GeaFgbEjcDlcDmdCmeBmfAmeAmeAmdBmdBmcBmbBma\
  Bm`Cm_CmZCmYCmbDmbDmcDmdDleDlfEkgEjhEjhEihEhhEghFm\
  mFmmFmmOmmOmmUmmUmmcmmcmmmmmmmmzmmzmmzmmzmmzmmzmmz\
  mmzmmzmmzmmzmczmczmczmczmczmczmczzczzczzczzczzczzc\
  zzczzczzmzzmzzmzzmzzmzzmzzmzzmzzfzzfzzfzzgzzgzzgzz\
  hzzhzzhzzhzzizzizzjzzjzzjzzjzzkzzkzzkzzkzzlzulzzlz\
  zmzzmzzmzznzznzznzzozzozzpzzpzzqzzqzzrzzrzzrzzszzt\
  zzuzzvzzwzzwzzxzzyzzyzzzz }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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