;     Date: Mon, 19 Mar 2012 00:17:36 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 18-03-12 (The Purple Pancake [7])
;       Id: <1.5.4.16.20120318231954.2b3f2ec8@earthlink.net>
; ---------
; 
; FOTD -- March 18, 2012 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Romance fans enjoy the adventures of the Scarlet Pimpernel; 
; cartoon fans laugh at Sylvester the cat playing the Scarlet 
; Pumpernickel; but how many have heard of the Purple Pancake?
; 
; None?
; 
; This is because I just invented him (or it).  He is not a 
; swashbuckling hero, he is a fractal -- the fractal that appears 
; as today's FOTD.
; 
; The scene lies deep in a larger pancake on a filament extending 
; northwest from the large period-2 bud of its parent Mandelbrot 
; set, which is infected in its depths with order-6 germs.
; 
; The image rates a 7.  It has too many small imperfections to 
; rate higher.  But even a 7 is three points above the abysmal 
; rating of yesterday's miserable FOTD.
; 
; The calculation time of 2-1/4 minutes is reasonably fast, but 
; faster viewing can be found on one of the FOTD web sites.
; 
; The official FOTD web site may me accessed at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; An impressive high-definition version of the image is online at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original classic web site mat be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The day began gloomy here at Fractal Central, with heavy clouds 
; hanging low.  But just after noon, the sun burst through in its 
; full glory, bringing a near-perfect afternoon with full sunshine 
; and a temperature of 68F 20C.
; 
; The fractal cats thought the conditions were perfect, and spent 
; the time watching the world go by.  Meanwhile, the humans spent 
; the day recovering from yesterday.  The next FOTD will be posted 
; in 24 hours.  Until then, take care, and I just found a Higgs 
; particle on the basement stairs.  I caught it and dropped it in 
; an empty jar.  It is threatening to decay or tunnel out, so 
; where do I take the particle to win the Nobel prize and get rich 
; before it disappears?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

The_Purple_Pancake { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip
  center-mag=-1.256470121037991/+0.3793502089871847/\
  2.45e+010/1/142.5/0 params=6/20000000/0/0/0/0/0/0/\
  0/0 float=y maxiter=3600 inside=0 logmap=230
  periodicity=6 sound=off mathtolerance=0.05/1
  colors=000UXUUWUTVUSUURTUQSUPRUOQUNPUMOULNUJMUILTH\
  KSGJREIQDHPCGPBEO9CN8AN78M66L55L74J83IA2HA1FA0EA0D\
  A0BA0AA09A07A06A05A03A02A01ASclemwzzusltnlsklrglp`\
  loXlnUlmQllMljJliFlhClg8lf5leBjeGheMfeRdeWcdaadf_d\
  lYdqWdvVfpThkRieQk`OmVMnQLnPLmPKmPKlOJkOJkOIjNIjNH\
  iNGhMGhMFgMFgLEfLEeLDeKDdKCdKCcJBbJBbJAaI9aI9`I8_H\
  8_H7ZH7ZG6YG6XG5XF5WF4WF4XG5XG5XG6XG6XH6XH7XH7XH7X\
  I8XI8XI8YI9YJ9YJAYJAYJAYKBYKBYKBYKCYLCYLCZLDZLDZME\
  ZMEZMEZMFZNFZNFZNGZNGZOG_OH_OH_OI_PI_PI_PJ_PJ_QJ_Q\
  K_QK_QKZPMZPNZOOZOPZNRZNSZMTZMUZMWZLXQOmSKmUGmWCcY\
  8UZ5KX4PV3UT3ZR2cU1Yc1TX0OS0JU4IZ7HcBGhEFmIEqLDzPC\
  zSCvTBrUBnVAlVAjW9hX9fY8dY8bZ7`_7Z_7W`DT`IQ`ON`TL`\
  ZI`cF`iC`n9`t7`yCemHiaMnQRrEQpDcoDcnDcmDclDcjDciDc\
  hCcgCmfCmdCmcCmbCmaCm`CmdFmgHzkJznLzqNzqNzrMzrMzsL\
  zsLzsLzuIzvGzwJzxLzyNzzPzzSzzUzzWzzYzz`zzbzzdzzfzz\
  izzkzzmzzozzkzzrzzszzszzt }

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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