;     Date: Fri, 04 Aug 2006 00:29:15 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 04-08-06 (Well-Rooted Fractal [6])
;       Id: <1.5.4.16.20060804002945.392f4318@pop.mindspring.com>
; ---------
; 
; FOTD -- August 04, 2006 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's 6-rated image is a scene in a remote valley of the 
; Z^sqrt(2)+C as it appears 38 levels up the logarithmic ladder. 
; I named the image "Well-Rooted Fractal" for no good reason.
; 
; The Z^sqrt(2) fractal is interesting because its midgets are 
; unusually easy to find.  They first appear much like the midgets 
; of the Mandelbrot set, hiding between two symmetrically placed 
; elements.  Unfortunately, the patterns around the midgets in the 
; square-root-of-two fractals have a tendency to all look the 
; same.  The pattern around the barely-visible midget at the 
; center of today's image lacks some of this 'sameness', but it is 
; still similar to many other images.
; 
; The render time of 8 minutes is just the slightest bit on the 
; slow side.  This slight bit of slowness may be avoided however 
; by downloading the already-rendered image from the FOTD web site 
; at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; Another very hot day here at Fractal Central kept all thoughts 
; of going outside from the heads of the fractal cats.  They spent 
; the day watching birds and squirrels.  For me the day was about 
; average.  If all remains average, the next FOTD will appear in 
; 24 hours.  Until then, take care, and I hear that fractal soup 
; is delicious.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Well-RootedFractal { ; time=0:08:00.55--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 center-mag=-0.6174173528\
  2187680/-0.20187002932680840/1.964483e+009/1/2.5/\
  3.90137333446116674e-007 params=1.414213562373/0/\
  38/0 float=y maxiter=5000 inside=0 periodicity=10
  colors=000fZmyN9wU7u`5tf3rm1qs0kf4fU8aHCX4GV88UC1W\
  M3YW4_e5`n6TaAMQEFDI81MIGJSVGaiDjwAlvGnuMpuSqtYstc\
  usivsnrlonepjZpfSqcMqKbb0sP8tNFuLMvJUwH`xFgyEetMcp\
  Ubka`gi_cq`gh`j``mS`pKZaVYNeX9o926FAAKHEQOIVVL_bPe\
  iTjpXow_YtPHrF0p54j98dCCZGGTJKNNOHQSCTY9Ub7Vh4Wm2X\
  r0Yq2ep4mp6uk6og6ib6cZ6YU6SQ6MM6HK9FJBDIECGGA0A00F\
  0X6CRMELaUUdcafmiiumkzmnzmqzmszmuzmwzmzzmzzPHUPGUP\
  GURIUTKUUMWUOTUQQUSNUUKXTI_THbTFeTEhTCkTBwT9zT8oax\
  g`p`_hUZ`NYTGXL9WD2W65jwGZnROf`DZeV`jlahh_feZdbXc_\
  WaWV_TTYQSXNRZRN`UJbXGd`Cmc8zf5taAmYFcUKUPPKLUDHYJ\
  TdOckTnrYyxk_wxAvnCpdEkVGeLI`MKWNLRNMNONIOOEWRHcUK\
  jXNiaOhfPhkQgpRfuSfzSgrUhkWicYjX_kPalIcgJ`cJYZKVVK\
  TQLQMLNILLNNMRONVQNZRObTOfUPjVPhURgTSeSTdRUbQVaPW`\
  OXwPbsRXpTRlVLiWFXURKSb8RnJ_aUgQdoEow2YyRHzoNxkTvg\
  Ztcdr`jpXpnTulQvgNvcKw_HwVExRBxN8xJ5efraboYZmVWkRS\
  iOPgRNhULhWJhZHhaFhZMWbTd }

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=========================================
; 
;