Fractal visionaries and enthusiasts:  

Today's highly rated image might not be a true fractal at all.  It might be no more than an artifact of math imprecision.  But whatever it is, it certainly looks like a fractal.

The object at the center is actually a minibrot on the southern shore of East Valley of the Mandelbrot set.  (Reset the real(p4) parameter to zero to see the undistorted minibrot.)  But I have no idea what the bulish-gray fractal canopy partially covering the minibrot might be.  The features of this canopy appear to be true fractal stuff, and may be zoomed into to the limit of resolution.  And yes, changing the value of the real(p4) parameter an order of magnitude or two will change the image.

I totally fail to see how a value as small as one-googlth or 10^(-100) could have any actual effect on a fractal of magnitude 10^(+008), but today's image does not lie.  Something certainly has had quite an effect on the minibrot.

I have no theories about what is going on in the image.  All I have done is show a most curious scene that I stumbled upon a number of years ago.

The name "Translateration" sounds like it has a deep scientific meaning.  Actually, as far as I know, it is nonsense.  I picked up the word from a sci-fi novel I read many years ago.  I forget the name of the novel.

The rating of a 9 is based on both the artistic and mathematical merit.

A mix of clouds and sun with a temperature of 37F +3C made today quite typical for a late winter day in central Pennsylvania.  Seeing no promise of dependable sun, the fractal cat lured me from my favorite chair and took instant occupancy, defiantly daring me to try to dislodge him.  The humans, pretty well recovered from the latest bug, had an average day.

The next FOTD will indeed be posted, and the most likely time of the great event is around 24 hours from the time this FOTD is posted.  Until whenever, take care, and

Jim Muth
jimmuth@earthlink.net


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

Translateration    { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=HyperMandelbrot2 passes=1 float=y
  center-mag=+0.2587410547281214/-0.0013438834420757\
  /1.0438e+008/1/-162.5/0 params=0/0/0/0/1/0/1e-100/0
  maxiter=3200 inside=0 periodicity=0 sound=off
  colors=000mKZlIgkGfjEfjFfjGfjGfjHfjIfiJfiKfiKfiLfn\
  MfnNfnOfkMsnOfmPUoRHmO0nS4nW7p_AreDtjGvmcxmmpgcfZO\
  WPPPHQMDQLBMLBRJDSHGSIITKJTMLWOLYQMYSM`UNcVNfWOiXP\
  lYRoZUr_Wv`Zya`yc`zd_zfYtdWqeRocMiaId_F`YCXW9TX6SX\
  3SY7SYASZESZIS_MS_PS`TS`XSa`SacSbgSbkSfoQbnSZpTVsV\
  SqWOqXKoZGm_Dk`9ib5gc2edNdbRd`UeZXeX_eVbeTebRh_PkX\
  NnUMlSNjRNiQNgONeNNdMObLO`JO_IOYHORDPXGObJNcMMcPLc\
  PKcPIcOHcUGcUFcUDcUCcUBcUAcU8cU7cU6bU5`U3_U2YU1XU0\
  YU2ZU3WU1ZV4`V7bVAdVCfVFhVIkUKmUNoUQqUSsUVuUYwU_qZ\
  XkbVeaS_`QVZOPZLJZJDZG7ZE2ZC4ZF6ZI8ZKAZNCZQDZSFZVH\
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  QTNRUMRWKSWISWGTWETXDUYBUZ9VZ7YY2VX6SW9PVCQUDRUDSU\
  ETSETQFUPFVMGWJGXHHXEHYBIZ9I_6J`8JaAK`CJ_EI_GIZIHY\
  KHYMGXOGWQFWSEVUEUUDUUDTUCQUBTUCVUCYUC_UCbUCdUCfUD\
  iUDkUDnUDpUDqU8rUDrUHrWLsYPs_Ts`Ysbaqdeogimemkcqia\
  hg__eYScWJeUAgSFiQKkOPmMU }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

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