;     Date: Thu, 27 Jan 2005 09:59:07 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 27-01-05 (Orb [7])
;       Id: <1.5.4.16.20050127100127.0d6740e6@pop.mindspring.com>
; ---------
; 
; FOTD -- January 27, 2005 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is a Julia set of the fractal that results when 
; both Z and C are raised to the power 1.4142 and multiplied 
; together, and then C is added.  It consists of gaudily colored 
; but broken concentric circles with an interesting area of chaos 
; toward the center.
; 
; Most of the effect was achieved by calculating the formula with 
; the outside set to 'tdis'.  The chaotic parts of the image are 
; filled with curious but hard-to-find Julia basins, one of which 
; appeared two days ago as the 'Hairy Caterpillar' FOTD for 
; January 25.
; 
; I gave the image the name "Orb".  The name was inspired by the 
; nature of the image itself, which basically consists of nothing 
; but circles.  After a modicum of consideration, I rated it at a 
; not-bad 7.  The colors are a bit too brilliant, but still 
; striking.
; 
; The 'passes=b' option is fastest with this image, rendering the 
; entire scene in only 11 seconds.  This option often is the 
; fastest, but it must be used with caution because it can easily 
; miss important isolated features.  The render time of under 11 
; seconds is true only when the image is rendered with the passes 
; set to 'b'.
; 
; I have discontinued the overall worth rating, which was weighted 
; too heavily in favor of the render time.  No one paid much 
; attention to it anyway.  The only important thing is the appear-
; ance of the completed image, which is covered in the rating that 
; appears in the subject line of every FOTD.
; 
; The image is a very fast one.  By the time this letter is read, 
; it should already be posted on the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; The continuation of the philosophy that we have been waiting for 
; appears in the philofractal version of today's FOTD discussion.
; 
; The sky was mostly cloudy, but the temperature reached a high of 
; 47F 8C here at Fractal Central on Wednesday.  Only the wet 
; sloppy snow kept the fractal cats on the porch.  Today is 
; starting sunny but much colder.  The temperature is down to 10F 
; -12C, and the snow has frozen rock hard.  I wonder what the 
; dynamic duo will make of it.
; 
; My only problem is where to find the next FOTD.  The search will 
; begin in a few hours.  Until that next FOTD appears, take care, 
; and be serene as a fractal.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Orb { ; time=0:00:10.82--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=mult-xy-zw-compjb function=ident/flip
  center-mag=-0.00542788/-0.101983/0.1702254/1/40/\
  -3.21104948186601e-011 params=90/90/1.4142/0/1.4\
  142/0/0/0/-0.542983266/0.017693381 passes=b float=y
  maxiter=5000 inside=255 outside=tdis periodicity=10
  colors=000sCzqEzoGzmIzkKziMzfOycRx`UwYXvU_xRbwNdvK\
  epLdnMbjM_fNXbNVZOSWOQSPNOPLKQIGSGDWFBaE9gF7kC5jH8\
  hMAfRDdVFbYHeZFhZEkZDnZCqZBsZAUVG4RL8VKBYJF`IIcHMf\
  GPiFQkHQlJRmLRnNSoPSpRSrTTsVTtXUuZUv`UwbSscQodOkeM\
  gfKcgI_gGWhESiCOjAKk8Gk7Fj7Fi7Fh6Fg6Ff6Ee5Ed5Ed5Ec\
  4Eb4Da4D`3D_3DZ3DY3DY9EWFFVLGURHSXHRbIQhJOnKNtKMsL\
  OsLQsLSsLUsLWlRXeWYZ`YSeZLjZEo_7t_CrYHqWMpUQoSVnQ_\
  mOclMhkKmjIqiHbaoeaqhaskau6Oi7Oo7OuCQtHStMTsQVsVXs\
  _Yrd_rh`rbdmXhiRkdLo`FsW9vSLoZXieifogcleajc_gaYe_V\
  bYT`WRYUPWSNTQKROIOMGMKEJG9IICHKFHMIGNLGPOFRRFTUEU\
  XEW_DYbD_eC`hCbkBdnBfqALHRgsAdeCaTEWDFZGGaIHdLIgNJ\
  jQKxNMlSL`WKQ`KEdJ3hJ8eKDcLHaLMZMQXMVVNeZTZTNTNHMH\
  BGB5A50D72F83H94KA5MB6OC8RD9TEAVFBXGC_HIbHOeHUhH_k\
  HenHkw8xpHpjQhcY`YfTSnMXhS`bXeXaiSgnMlrGqz7yvBvrEs\
  nIpjLmfPjlOrcSgVVYMYOIOCE`EE`EEaEDaEDbEDbECcECcECd\
  EBdEBeFBeFKKkKNiKQfKTdKWb }

frm:mult-XY-ZW-compjb {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5:
z=z^p2*(c^(p3-1))+c,
|z| < 400 }


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