;     Date: Fri, 15 Jun 2012 19:22:14 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 15-06-12 (No Rectangles [7])
;       Id: <1.5.4.16.20120615192458.2baf68f0@earthlink.net>
; ---------
; 
; FOTD -- June 15, 2012 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; In yesterday's FOTD I wondered whether the Julia aspect of the 
; image held rectangles.  Since then, my curiosity has gotten the 
; better of me.  To satisfy the curiosity, I calculated the Julia 
; aspect and, as the name of today's image implies, found no 
; rectangles.  I did find the same basic large shape however, plus 
; lots of other unexpected smaller shapes, only a few of which 
; appear in today's image.  An outzoom or two will reveal many 
; more of these unexpected shapes.
; 
; The most obvious shapes in the image are the two scalloped-edged 
; squares that appear ready to merge.  A very slight change in the 
; real(c) parameter (real(p4)) will either merge them or move them 
; farther apart.
; 
; The rating of a 7 indicates that I consider the image only 
; adequate.  More work on the color could have made an improvement.
; 
; The name "No Rectangles" obviously indicates that I found no 
; rectangles.
; 
; The calculation time of only one brief minute will try the 
; patience of no one.
; 
; The finished image is online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition rendering is at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; All the images are posted at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; A mix of sun and clouds, low humidity, gentle breezes and a 
; temperature of 81F 27C made the day delightful here at Fractal 
; Central.  The fractal cats' thrill came when we put out their 
; cat cubes and let them have their fun.  Other than the cats' 
; fun, little of note happened in the humans' world.  The next 
; FOTD will be posted in a number of hours.  Until whenever, take 
; care, and is it the Tea-Party's fault or the Progressives' 
; fault?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

No_Rectangles { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip float=y
  center-mag=+0.0009022201/+0.0696080662/4811.939/1/\
  0.5/0 params=2.5/100/90/0/90/0/-1.7506789/0/0/0
  maxiter=1500 inside=0 logmap=86 periodicity=6
  colors=0009O_9Ra8Uc8WdAVdCUdETdGSdIRdKQdMPdOOdQNdS\
  MdIPi9Rn0Ts5Vt9WtDXtHYtLZuP_uT`uYauabuecvidvmevqfv\
  ugvihXYh8`Z6cQ4eH2fL3fP4fS4fW5fZ5fb6ff7fi7fm8fp8gn\
  GhlNijUjh`kfgkenlcombonaoo`op_oqZprYprXpsWptVpuUqv\
  TqwSqxRqxQqqSrjUrcWsXYsRZsQXqQWpQVoPUmPTlPRkOQiOPh\
  OOgNNeNLdNKcMJaMI`MH_PJYRKWUMUWNSZOR`QPcRNeTLhUKjV\
  ImXGoYEqZDp`FpbHpcJpeLogNohPojRolTomVnoXnqZnr`ntbn\
  udjpggkicfl`anXXqUSsQNvNIxOFvOCuP9tP6sP4rR7lTAfUDa\
  WGWYJQZMLQNOHOR9OTBNVDMXELZGK`IJbJIdLHfNGhOGjMEjLC\
  jKFgKIdKLaJNZJQXJTUIVRIYOI`MHbJHeGHhDHjBMeDRaEVXF_\
  TGcPH_NPWLXSJcOHkLFrNHrPJrRLrSNrUPrWRrYTrZVr`XrbZr\
  d`rearc`ob`ma`k`_i__gZ_eY_cXZaWZ_VZYUZWTYUSYSRYQQY\
  OPWRPUUPTWORZOP`OOcOMeNKhNJkNHmMFpMErMCuMBwNDxNExN\
  GxNHxNJxNKyNMyNNyNPyNQyNRyQTwSUvVWtXXs_Zra_pdaofbm\
  idlkekhbge_dbXa_UZXRWUOTSLPPIMMFJJCGG9DD6AB37R45e4\
  4XKFPZPHmZOh_Vd`a`ahXafWW }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*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),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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