;     Date: Mon, 30 Apr 2012 20:05:37 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 30-04-12 (An Ellibolic Set [6])
;       Id: <1.5.4.16.20120430200832.2bbfaee4@earthlink.net>
; ---------
; 
; FOTD -- April 30, 2012 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image shows the same scene as the image of April 28.  
; The open area at the center is the same East Valley minibrot; 
; the tendril arms are the same ones that made the previous image 
; attractive.  The difference is that we are looking at the scene 
; from a different angle.
; 
; The previous image was sliced in the Mandelbrot orientation; 
; today's view is sliced in an orientation halfway between the 
; Elliptic and Parabolic.  The horizontal direction of the image 
; is the real(c) axis of the Julibrot; the vertical direction lies 
; halfway between the real(z) and imag(z) axes.
; 
; The tendrils of the previous image no longer spiral from outside 
; the frame into the central minibrot.  At the angle of today's 
; slice they form loops and cut-off arcs.  These arcs should not 
; be seen as things with only one extended dimension.  They are 
; actually things with three extended dimensions that curve in 
; four-dimensional space.
; 
; The minibrot itself bears no resemblance to the familiar 
; Mandelbrot shape.  It has changed into a kind of stretched open 
; area.  This shape is typical of minibrot complexes when viewed 
; in the odd directions.
; 
; The name "An Ellibolic Set" refers to the orientation of the 
; slice.  The rating of a 6 is what I think the image is worth.  
; The calculation time of one short minute is a fair price to pay 
; for an image with so little artistic worth.
; 
; The completed image is posted online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition version is at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; All the past FOTD's are online at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The day here at Fractal Central began with brilliant blue skies 
; and lots of sun.  Clouds arrived early in the afternoon, 
; spoiling what could have been a near perfect day, but the 
; forecast rain held off.
; 
; >From their window, the fractal cats heartily approved of the 
; outside temperature of 66F 19C.  Their greatest thrill came when 
; a pigeon landed on the window sill and began cooing.
; 
; The humans greatest thrill came when the day's work was finished 
; and it became apparent that nothing would go wrong.  An even 
; greater thrill will come however when the next FOTD appears in 
; its full glory.  Until then, take care, and it makes people very 
; angry when they hear unpleasant things mentioned that they fear 
; are true but are trying to deny.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

An_Ellibolic_Set { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=+0.000000012\
  33959259/-0.00000000742723974/274.9971/40928
  params=45/90/0/0/0.266251413921/0.0034281189961/0/\
  0/2/0 float=y maxiter=1500 inside=0 logmap=152
  periodicity=6 mathtolerance=0.05/1
  colors=000cYUbXUaWU`VU_UUZTUYSUXRUWQUVPUUOUTNUSMSR\
  LSQKSPKQOKONKMMKKLKILKGLLHLMIKNIKPJKRKKTKMVLOXMPZM\
  R`NTaOVbOWcPXdPYdSYdVYdYYd`YdcZcgZdiZdlZeoZer_eu_e\
  x_dw_bv_`u`YtaVobSjcPedM`dJWeFRfCMg9Hh6Ci37h03f14c\
  24`24Y34V34S44P54M54J64G64D94AB47D44F41H42K62N72R9\
  2UA3VD4UG5SJ6QL7OO8NR9LTAJWBHZCF`DEcECfFAhG8kH6nH5\
  pJ8nLBmNElPGkRJjTMiVPhWRgZOi`MjcKleHmhFnjDpmBqo8rr\
  6tt4uv2vq3tm3ri4qe4oa5mX5lT6jP6hL7gH7eD7dJCfOGhTLi\
  ZPkcUmhYniVljTjkQikOglLemJdnGbnE`oB_p9Yq6Wq4Vp5Uo5\
  Un6Um6Ul6Uk7Uk7Uj7Ui8Uh8Ug8Uf9Ue9Ue9UfAXfAZgB`gBch\
  BehCghCiiCliDnjDpjDskEukEwkEyjFriFlhFegF_fFUeFNdFH\
  dFBfAQh6dj2rl9fnGVoMJIAyJ9tJ9oJ9jJ9eK9`K9WK9RK9NNE\
  LQJKTNJWSHZWGa`FddDgiCjmBceCXZCQSDJKDCDE56ENJRdWch\
  aSkfGgiEdkDamCZoBVqASs9Pu8Mw7Jz6PzFUzOZzWczdhzldzi\
  azfzzczz`zzYzzVzzSzzQzzSzzTzzUzzWzzXzzYzzZzzWzzUzz\
  SzzQzzOzzMzzKzzIzzFzzDzzB }

frm:SliceJulibrot4   {; 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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