;     Date: Sun, 20 Jan 2013 21:03:55 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 20-01-13 (Fire Tree [Rating ?])
;       Id: <1.5.4.16.20130120210210.21dfdabe@earthlink.net>
; ---------
; 
; FOTD -- January 20, 2013 (Rating ?)
; 
; Fractal visionaries and enthusiasts:
; 
; Fractal trees are nothing new in the FOTD series, but I have 
; never posted a tree with such simplicity as is seen in today's 
; image.  The scene is a Julia set of the (-Z)^(1.618034)+C 
; Julibrot.  The corresponding Mandelbrot point lies where the 
; X-axis meets the western edge of the main bud of the Mandeloid.
; 
; The full Julia set resembles an 'infinity' symbol, a figure 
; eight lying on its side, with an infinity of fractal trees 
; along its edge.  The tree in today's image is the largest one, 
; which lies on the X-axis on the east edge of the figure eight.  
; The simplicity was created by lowering the maxiter to 112.  This 
; cuts off the finer tree branches, leaving only the most basic 
; tree shape.
; 
; The name "Fire Tree" refers to the color of the tree.  The 
; calculation time of 15 seconds is due to the unusually small 
; maxiter.
; 
; The finished image is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The high-definition renderings are at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The back images are at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; A sunny day with a temperature of 46F +8C was spoiled by a 
; blustery wind here at Fractal Central today.  The fractal cat 
; spent most of the time basking in the sun on his shelf, watching 
; things blowing by in the wind.  The humans took it easy most of 
; the day.
; 
; The next FOTD will be posted in a reasonable time.  Until then, 
; take care, and don't wait for a second coming.  It isn't coming.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Fire_Tree { ; time=0:00:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=0.2398/0/15/\
  0.922/90/0 params=90/0/90/0/-1.15/0/0/0/1.618034/0
  float=y maxiter=112 inside=255
  logmap=69 periodicity=6
  colors=0000mzqNIqMFpMDpLAkK7lK5mzwnyvoxupwtqvsrurs\
  tqtspsrirqbpqVopOnoHmlAki9jd8i_7hV6gQ5eK4dF3cA2b51\
  a01`13_25Z37Y39X4BW5DW5FV6HU7JT8LS8NR9PQARQATYCPdD\
  LkEHiiEkkFllFnnFooGqpGrrGtsHuuHwvHxwHwuLwtOvsRvrUu\
  qXup_uoctnftmisllskosjrofnkbjg_gcWc_S_XPXUVYR_ZOd_\
  Mi`JnaGsbExbJrdNmeRgfVbgZXhbSifNjdMgcLebKcaJ``IZZH\
  XYGVXFSWEQVDOUDMXEK_EJbEIeEGhEFkEEgFGcFH`FIXGJTGKQ\
  GLMHNJHOFHPBIQ8IR4IS1IT7ORCTQHZPMcORhNWnM`sLexK`rY\
  WmjRhwPemOccNaULZKKXAJV1S`8`eFhkMqpTyuZtt`ptalsbhs\
  cdrd_rfWqgSqhOpiKpjLkdLf_LaVLYQMTLMOGMJBMF6VR5cb4k\
  m4ik8hiBggFfeIecMdaPc`TaZW`X__VbZTfYRiXPmWOpaNqfMq\
  kMqpLruKrzKrwMltOfqQ`nSVlTPiVJfXDcZ7a_1bZ3cY5dY6eX\
  8eW9fWBgVChVEhUFiTHjTIkSKkSLgRNdROaRPZQRWQSTQTQPUM\
  PWJPXGOYDOZAO`7Na4Nb1Nc3S_5WW7`S9dPBiLDmHFrDGvAIr9\
  Kn9Mj8Og8Pc8R_7TW7VT6XP6YL6_H5aE5cA4e64f34d53c73b9\
  3aB3`D3_E3YG2XI2WK2VM20mz }

frm:SliceJulibrot5   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(-z)^(real(p5))+c
  |z|< esc }

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