;     Date: Wed, 28 Mar 2012 16:28:21 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 28-03-12 (Shifting Gears [7.5])
;       Id: <1.5.4.16.20120328153047.2bc783c8@earthlink.net>
; ---------
; 
; FOTD -- March 28, 2012 (Rating 7.5)
; 
; Fractal visionaries and enthusiasts:
; 
; In today's FOTD we get a glimpse into the world of high-order 
; fractal images, which can be nowhere near as boring as first 
; appears, when they are done right.
; 
; As a demonstration, in today's FOTD we check the East Valley 
; area of the half-morphed large minibrot on the main spike of the 
; parent fractal, which is a Mandelbrot set with Z^31 tendencies 
; rather close to the surface.
; 
; This location abounds with areas of erosion that are full of 
; Z^31 minibrots arranged in the patterns that would normally be 
; expected in this part of the Mandelbrot set.  I went quite deep 
; into the parent before I found today's scene, which lies in a 
; much larger but similar scene.
; 
; I named the image "Shifting Gears" when the scattered order-31 
; minibrots reminded me of a fantastic nest of crushed cogwheels.
; 
; The rating of 7-1/2 reflects my opinion of the true worth of the 
; image, which is held down somewhat by the similarity of many 
; recent FOTD images.
; 
; The calculation time of a mere 30 seconds makes running the 
; included parameter file at least a breeze if not a hurricane.
; 
; And this minor inconvenience of calculation may be avoided by 
; viewing the completed image on the official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition rendering is online at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; All the past FOTD images and discussions may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The day began cloudy here at Fractal Central.  A brief light 
; thunder-shower passed over at 11am, followed by a sunny 
; afternoon with a temperature of 68F 20C.  The fractal cats were 
; pleased by the warmth, but would have preferred to have more 
; of the sun coming straight in the windows.
; 
; The humans, who have heard more than enough over-hyped media 
; talk about racial hatred recently, were left wondering what the 
; real problem is.  The next FOTD, with no fractalish hatred 
; involved, will be posted in 24 hours.  Until then, take care, 
; and no problem will ever be solved until people are willing to 
; see the true nature of the problem.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Shifting_Gears { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip
  center-mag=-1.747579800976048/+0.0016262212467862/\
  3.1326e+012/1/50/0 params=31/1e+040/0/0/0/0/0/0/0/0
  float=y maxiter=1500 inside=0 outside=tdis
  periodicity=6 mathtolerance=0.05/1
  colors=000W4ES3AP36TCHWLSZUbabmNMxLQuJUrIXoG`lEdiD\
  gfBkcKna9hZAfW6XT5RQ4LN3GL7JQBIUFPZISbMVgQYkU`pXbt\
  nqzsnzsrzsrzkmzZSfMJgAAhFGjKLkORlTWmY`oaUpfUqUUrlU\
  dUURlUPUdNj_LUUJUOHgJGjPMUVRU`WUUaUUfUUkUUpcUrUUtf\
  FufNwaKcQIzbCJaAI`HH_Ab`4FYAMZ3S_3Y`2dX2jT2pV5iX7b\
  ZAW`CQbFJdHCeJ6WHJNGVEFg5EsAGmEIhJKcNMZSOUWQP_RKYO\
  PWMUUKZTHbRFgPDlOBpQDmRFjTGhUIeVKbXL`YNYZOWb_Iej4b\
  b5`V5YN5WF5U85RVQOpjLnkJlkGklEilBgm9fm6dn4cn8ahC`b\
  FZXJYRNWLQVFUT9XS3`ZUdesddmdchdbcdbZdaUd`Pd_Kd_FaU\
  L_PRYJWWEaU8gS3lR7eRA_RDTQGNQJGQMARTKS_UTfcb`alV_u\
  PZdaSOmL8yFV7lU9mUAmTCmTDmTEmSGmSHmSImIEOMFQPFRTFS\
  WFT_GVbGWfGXiGYiLXjQXjVXkTUkSSlRQlPOlOMmNJmLHnKFnJ\
  DnHBoG8oF6pD4pC2pB0fH1XM1NS2DX2EW6FW9GVDHVGIVJJUNK\
  UQLTUMTXNT_OScPSfQSiTVjWXkZZka`ldblgemjgmminpknsmo\
  voounnunnunnunnumnumnumnumnolljkkeji`jhWigRheMgdHg\
  cGfdFeeEdfDcgCbgBahA`i_5J }

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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