;     Date: Mon, 14 May 2007 23:02:55 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 15-05-07 (The Lost Minibrot [5])
;       Id: <1.5.4.16.20070514230718.38e7d316@pop.mindspring.com>
; ---------
; 
; FOTD -- May 15, 2007 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; For today's image I resurrected the original Mandelbrot branch 
; cut formula, MandelbrotBC1.  This version actually is more 
; versatile than the MandelbrotBC2 formula that I use quite often. 
; Instead of having the 'floor' function hard coded, like the 
; second version of the formula, BC1 lets the user choose any 
; function.  This ability can be quite useful, since most of the 
; available functions make unique and quite interesting fractals.
; 
; In today's image we examine the Z^(1.09)+C Mandeloid as it 
; appears 10.6 levels up the log ladder when the 'sin' function is 
; applied and the escape radius is raised to 1600.  At this level 
; the parent fractal resembles a distorted Mandelbrot set rotated 
; 180 degrees.  Except for the large period-2 bud, this set is 
; without buds, but the shoreline of the main bay is edged with 
; interesting chaos.  Today's image lies in the East Valley area 
; of its parent, which is actually on the west side of the main 
; bay.
; 
; Believe it or not, there actually is a midget far down at the 
; center of the image.  But waste no effort trying to reach it.  
; The midget lies far beyond the breakdown point.  Because the 
; midget will never be seen, I named the image "The Lost 
; Minibrot".  Then I rated it at a 5.  Some interesting debris is 
; floating through the image, and some curious debris patterns are 
; starting to emerge, but there is too much chaos and too little 
; order for a higher rating.
; 
; The calculation time of over 17 minutes on the P4-2000 would 
; be over an hour on the old P200 unit.  To save time, I have sent 
; the finished image on ahead to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; where it is posted for quick enjoyment.
; 
; Monday began clear, with a very cold temperature of 30F -1C here 
; at Fractal Central.  And yes, if there had been any pumpkins in 
; the field, they would have had frost on them.  But by the time 
; clouds arrived in mid morning, the strong May sun had warmed the 
; air to 66F 19C, where the temperature stayed all afternoon.  The 
; fractal cats were exceptionally active for most of the day.
; 
; My day was a bit busier than usual, resulting in a fractal that 
; is a bit less worthy than usual.  Better things will happen 
; tomorrow however, so until the next FOTD appears in 24 hours, 
; take care, and be careful what you iterate.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

The_Lost_Minibrot { ; time=0:17:22.32-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=sin passes=1
  center-mag=-1.35514864109703900/-0.138026541520764\
  20/2.473146e+012/1/-90/3.8857806e-016 params=1.09/\
  0/19.6/1500 float=y maxiter=3600 inside=255
  logmap=1740 periodicity=10 mathtolerance=0.05/1
  colors=000Kedmzdmzdmydcxdjsdjvdhu_csVZqQUoLPmGLkBL\
  h6Ld5La5LZ5LW5MT5MQ5MN5MK5MG5ME5NC5NA5N85N65N45N25\
  L15K05J05I05G05F05E05D05C05A0590580570560540530520\
  510500500510731943A64C75E87FA8HB9JDBKECMFDOHFPIGRK\
  HTLJUMKWOLYPNZRO`SPbTQcMVZG_VAcRP_AGd66i50o50m50l5\
  0k50j50i50h50g50e50d50c50b50a50`50_50Y50X61W61V71U\
  71T81S82Q92PA2OA2NB3MB3LC3KC3ID4HD4GE4FE4EF5DF5CG5\
  AG59H68H67I66I65J05Q64JD3DK27Q05R15S25T35T45U55V67\
  W78W89X9AYABZBDZCE_DF`EGaFHaGIbHKcILdJMdKNeLOfLQgM\
  RgNShOTiPUjQWjRXkSYlTZmU_mV`nWboXcpYdpZeq_fr`hsais\
  bjtckudludmnehhfcbf_WgVQgRKhMDhQ7iV0h_1id6iiBjmGjq\
  MjqRkqWkq_oq`kq`hquhquaquoqulqcSqcZqcZqdZqdUqeUqeU\
  qfUqfUqgUqfUqeUqdUqcUqbUqaUq`Uq_ZqZZqYZqXZqWZqWZqV\
  ZqUZqTZqScqRhqQmqPrqOrqNrqMrqLrqKrqKrqJrqIrqHrqGrq\
  FrqErqDrqCrqBrqArq9rq8rq8sqBqqDrqFrqHrqJrqMrqOrqQr\
  qSrqcrqcrqdrqdrqdrqdrqerq }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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