;     Date: Tue, 29 May 2012 10:00:02 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 28-05-12 (The Magic Tower [8])
;       Id: <1.5.4.16.20120529100323.2fbfa4f4@earthlink.net>
; ---------
; 
; FOTD -- May 28, 2012 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; The most surprising thing about today's image is that its parent 
; fractal does not exist.  At least it does not exist when 
; rendered in the normal manner with 'iter' outside and 'numb' 
; inside.  It is an 'evaporated' parent, consisting entirely of 
; trapped 'inside' points.
; 
; A kind of fractal does appear however when the blank screen is 
; rendered with the inside set to an active inside fill.  For 
; today's image I chose the 'bof60'.  The generating formula is a 
; rather strange one that includes Z^2 divided by Z^(1/Z).
; 
; The name "The Magic Tower" refers to the chaotic vertical spike 
; in the left half of the image, which for some reason seems 
; hauntingly familiar, a feeling of 'yugen' (check the internet 
; for a definition), if there ever was one.
; 
; The rating of an 8 is what I myself consider the image to be 
; worth.  The actual fractal value might be closer to a 7.
; 
; One thing that cannot be questioned however is that the image is 
; a fast one.  it will finish in about one minute on most SOTA 
; machines.  The web sites are online for those whose machines are 
; not State Of The Art.
; 
; Be happy and carefree.  View the finished image on the FOTD web 
; site with no need to worry about calculating it.  The web site 
; is at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; Or view the image in detail-revealing high definition at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; Today's image as well as thousands of others is online at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; A very noisy but exciting thunder-storm moved in here at Fractal 
; Central yesterday evening.  I enjoyed the wind, rain and noise 
; but the fractal cats were uneasy and even FL turned chicken.  
; After giving the garden a generous watering, the storm moved 
; out, leading to a peaceful, relatively cool night.
; 
; The heat returned today however, when total sun boosted the 
; temperature to a sultry 88F 31C, causing the fractal cats to go 
; into hot weather mode.  The humans took things easy, which is 
; the best way to spend a holiday.  The next FOTD will be posted 
; in 24 hours.  Until then, take care, and we're always hearing 
; about enemies of freedom.  I guess they are those people who 
; would rather be slaves.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

The_Magic_Tower { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideJulibrot center-mag=4.56154/\
  13.0186/0.1896/1/-2.5/0 params=86/0/86/0/-0.77/0/\
  0/0/-1/1 float=y maxiter=1500 inside=bof60
  logmap=yes periodicity=6
  colors=000720A32D44G56J68M8APACSCEWEG_GIcIKgKMkMOn\
  OQqQTtSWwUYyV_vT`tP`rN_pKXnIVlGTiERgDQeCOcBOaAN_9N\
  X8MV7MT6LQ5KO4IM3GJ2EH1CF0AD08C07C07B09B0AB0AC0AE0\
  AGNQHMRJMTKMUMMWNMYPLZQL`SLbTLcVLeWLfVMgVNgVOgVPgV\
  PgUQgURgUSgUTgUTgTUgTVgTWhTXhTXhSYhSZhS_hS`hS`hRah\
  RbhRchRdhRdhScgTbgTbgUagVagV`gW`gX_fXZfYZfZYfZYf_X\
  f_Xf_Wf_Vf_UeZUeZUdZUdZUcZUcZUcZUcZUcZUcZUcUVPUUPU\
  SQVRQVPRVNSWMSWKTWJTXHUXFVXEVYCWYBWY9XZ7YZ6YZ4ZZ3Z\
  Y4YX5XW6WV7VU8UT9TSASRBSQCRPDQOEPNFOMGNLHMKIMJJLIK\
  KHLJGMIFNHEOGDPGCQFBREASD9TC8UB7VA7WA6XC6XE6YG6YI6\
  ZK5ZM5_O5_Q5`S5`T3aT1aT5_U8YVCWWFUWJSXMQYQOZTMZXK_\
  _I`cGafEaT_fGtjHskHrlIqmIpnJooJnpKmqKlrLksLjtMiuMh\
  vMgvRahVXV_RHcM3bL6aL9`LC_LFZLIYKLXKOWKRVKUUKWTJZS\
  JaRJdQJgPJjOImNIpMIsLIvLIxNHuPHsRGqTGnVGlXFjZFh`Ee\
  bEcdEafDZhDXjCVlCTnCQpBOrBMsBKqAIoAHnAGlAFjAEiADgA\
  CeABdAAbA9`A8_A7XDCXWNMHH }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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), aa=-(real(p5)-2),
  bb=(imag(p5)+0.00000000000000000000001),
  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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)/(z^(aa)+bb)+c
  |z|< 1000000 }

; END PARAMETER FILE=========================================
; 
; 
; 
; _______________________________________________
; Fractint mailing list
; Fractint@mailman.xmission.com
; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
;