Fractal visionaries and enthusiasts:  

Today's image lies deep inside a minibrot in Scepter Valley the Hypermandelbrot set, in an area that should be a total blank.  I named it "Hyper-Mandel Scene" for obvious reasons.

Do not ask me what the image shows or how the math works.  None of it makes any sense.  But the image certainly is real and it looks pretty good for something that makes no sense.

The number of elements in the features circling the center increases in increments of two as we dive deeper into the bottomless center of the enclosing minibrot.  But why does the number not redouble at every step?  And if the number of elements reflects the periodicity of the area of the M-set in which it lies, why does the number not stay the same as we look deeper?

There are obviously some big questions to be answered about the things done by the HyperMandelbrot2 formula, so I'll probably be investigating the 4-D hypermandelbrot set for quite a while.  In fact, the next virtually impossible wonder will appear as the next FOTD.

As I see it, the art aspect of today's image is worth a 7, while the math aspect remains at quite a high level, which today is a rating of 9.

The calculation time of today's image is 5-1/3 minutes, on the slow side indeed.  This slowness is largely caused by the need to turn off the periodicity when using the HyperMandelbrot2 formula.  But all is not lost, for the web sites are always there to bring near instant relief.

Today brought lots of sun to Fractal Central, but the morning low temperature of +3F -16C and paltry afternoon high of 19F -7C made the sun pretty much ineffective at bringing outdoor comfort.  The fractal cats however had a pleasant day indoors, enjoying and sharing the sun on their shelf.  The humans made out as best they could.

The next FOTD will be posted in due time.  Until whenever that might be, take care, and think about what the 'news' media is really doing with our emotions when it says things like 'should you be worried about....'

Jim (it has me worried) Muth
jimmuth@earthlink.net


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

Hyper-Mandel_Scene { ; time=0:05:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 center-mag=-1.2508739\
  37260226/+0.02375785984786841/2.980496e+009/1/-147\
  /0 params=0/0/0/0/0.25/0/1e-100/0 float=y
  maxiter=3000 inside=0 periodicity=0
  colors=000UT`YSaaQbeOciNdgQbfS`eUZdWXcYVa_T`aR_dPZ\
  fNYhLWjJVlHUnFTpDSrCOmEKiGGeIC`K8XM4TO1PP6RNBSLGUJ\
  LVHQXFVYD__Bd`AeaDebGebJecLfcOfdRfcYfcegepgezgfzgi\
  zhmzhpzhtzhvzfwzdrzbmz`mzZcqXWmVUcTSUVTMXVJZWJ`YKb\
  ZKd_LfaLhbMjdMleNngNphOqiOrjLrjJsjHsjFtjDtkAuk8uk6\
  vk400000000000000000000000000000000000000000000000\
  01002003004005106327538848B5BF6FJ7KN8PRAVUB`ZCfbDk\
  fEpiKrlUzpczsmzvzzzzzzzzzzzzzmzzczzUozMozLnDKnEInF\
  HnG7Jf9NbAR_BVXCZUDbQEfNFjKTEuSHrRJpQLmPNkPPhOSfNU\
  dMWaMY_L_XKaVJdTJfQIhOHjLGlJ0kk2lh3le4lc6l`7mZ8mWA\
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  MFoKGnIqa4jd7df9ZhBSjDMlF7Od9S`AWYB_UDcREgNFkKyGCv\
  JDsLDpNDmPEjREgUEdWFbYF__FXaGUdGRfGOhHLjHIlHfbradk\
  cmemz_zzTzzNzzFzzGmAGcAGUAGLKGKUGKZGJaHJcHIeHIgHHi\
  HHkHGmHKrOIpKia1gb3ec4cd5 }

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=========================================