Fractal visionaries:

I named today's fractal "Flarium".  I can give no reason why I chose such an unlikely name -- it simply came to me while I was studying the picture, trying to decide what to name it.

"Flarium" is a symmetrical, rather intricate design, another fractal created by combining positive and negative imaginary powers of Z.  The formula has been sitting in my inactive file for a few months.  I pulled it out on a whim and activated it to see what I could find in it.  The resulting image made the work worth the effort.

I've got to cut this short now because I've got a very interesting fractal half finished.  It's a hugely magnified section of the negative X-axis of the Mandelbrot set, viewed from one of the odd directions.  If it turns out the way I expect, it will be tomorrow's F.O.T.D.

Today's image has been posted as usual to a.b.p.f. and a.f.p.

Jim Muth
jamth@mindspring.com


START COMBINED FILE========================================

Flarium            { ; time=0:00:07.91-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=Mytest05 passes=1 center-mag=0/0/1.2315
  params=-2/0/0/-3/0/1 float=y maxiter=362 logmap=yes
  inside=bof60 symmetry=xyaxis periodicity=10
  colors=000J00lRJz`Sgts`nkUizNdXk2Ci4Dg7Ee9FcBGaDH_\
  GIYIJVKKTNLRPMPRNNTOLWWJYbJFDJHEJJFILHINIIPJXITVIV\
  THWRHYPGZQJaQLcROfSRhTUkTWmUZpVarVcuWfwWhyZbw`YvcT\
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  _EId5Lb4Oa4Q_3TZ3WY3ZX3`V2cU2fT2hR1kQ1nP1qO1sM0vL0\
  tN5rPAoREmTJkVOiXTfZXd`abbf`djX_jTWjQSjPTjOTiOUiNU\
  hMVhLVgLWgKWgJXfIXfHYeHYeGZdFZdFZdCW`AUY8SV6QS4NO2\
  LL0JI2KJ4KK5LM7MN9MOBNPDOREOSGPTIPUKQVLRXNRYPSZNUW\
  FSLLWUJYSXgFWfGUfHTeISdJQcKPcLNbMMaNL`OJ`PI_Q56n68\
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  cTHbSHaRH`QJIEIOIHUMyTFvUGsUHpVHmVIjWJgWKdXLaXLZYM\
  WYNTZOQZON_PK_Ql5Zhn`VfVCx7DtAEpDFkHGgKHcN8_K9_K9_\
  LA_LB_MB_MC_ND_NE_OE_OF_PG_PG_QH_QgQUdRUaST_TTXUSU\
  VSRWRPXRMYQJZQeTLaUMYVNTXOPYPLZQWt6RmDMfKC1ZC4YD6Y\
  D9XEBWEEWEGVFJUFLTFOTGQSGTRHVRHYQ82W94W97VA9VBCUBE\
  UCHTDJTEMSEOSFRRGTRGWQHYQ }

frm:Mytest05  {; Jim Muth
 z=c=pixel, a=real(p1), b=imag(p1):
  z=(((z^a)*(z+b))^p2)^p3+c,
   |z|<=100  }

END COMBINED FILE==========================================