;     Date: Sun, 15 Dec 2013 17:35:26 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 15-12-13 (Spirit and Matter [A-8,M-7])
;       Id: <1.5.4.16.20131215173533.2a970ffe@earthlink.net>
; ---------
; 
; FOTD -- December 15, 2013 (Rating A-8,M-7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image takes us back to the DivideBrot5 formula, which I 
; feel is still the best of the series.  The parent fractal is an 
; oversized quadratic Mandelbrot set caught in the act of starting 
; to morph into the cubic M-set.  Today's image lies rather deep 
; in a small valley on the X-axis at the negative extremity of the 
; M-set proper.
; 
; The minibrot at the center is a pure cubic one.  The number of 
; elements surrounding it is confused however.  I see a series of 
; rings of 6 elements, and 6 is definitely not in the usual cubic 
; series of 3,9,27...  The cause of the discrepancy is that the 
; quadratic influence is still very strong in the image, and 2x3=6.
; 
; The name "Spirit and Matter" was inspired by the overlapping 
; triangles framing the minibrot.  This symbol represents the 
; three aspects of the Supreme Spirit (Father, Son, Holy Ghost) 
; descending to merge with the three upward-striving aspects of 
; man incarnate (body, emotion, mind).
; 
; The art aspect is quite good, and rates an 8.  The math aspect 
; is a bit shopworn but still rates a 7.
; 
; The calculation time of 3-1/4 minutes is borderline slow.  The 
; web sites can speed up things considerably.
; 
; The image has already been calculated and is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; The fractal people woke up to 7 inches 18cm of fresh snow 
; covering the fractal grounds, and found the fractal cats already 
; checking the footprints left by the local feral cats in the snow 
; in the back yard.  It's too bad that the fractal gentleman had 
; to spoil his day by clearing the sidewalk, but the fractal lady 
; kept him warm with lots of freshly brewed hot coffee.
; 
; The next FOTD will be posted soon, and I would not be surprised 
; if it were in 24 hours.  Until whenever, take care, and if you 
; don't believe in spirit, it doesn't matter.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Spirit_and_Matter { ; time=0:03:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideBrot5 passes=1 center-mag=-3.866\
  658236652909/0/1.615e+010/1/90/0 params=3/3 float=y
  maxiter=1900 inside=0 logmap=340 periodicity=6
  colors=000500602703804906A08C0AE0CG0EI0FK2GL4HM6IN\
  8JOAKPCKQDKREKSFKTGKUHKVIKWKNXMLYPKZSJ_VH`YGa`FbcD\
  cgCekBgn9iq8kt7mwAozKqzUuzZzzhzzrzzzzzzzzzzzzzzzjQ\
  yhRwgRvfSudStcTsbTr`Uq_Up`PvZUoXYhVaaSdXUeWVfVWgVY\
  hUZiT_jTajSbkRclRdmQfnPgoPhpOjpNkqNlrMnsLotLpuKrxL\
  quKqsKqsKqsJqqJqoJqmJqiIqfIqcIr`IsXHuVHwTHzRHwOGwM\
  GwKGwIGhJK`KNSLQrzzmrzhqzcpzUozKnzAmz5lz6kz6iz7gz7\
  ez7czWIGYHDYF4_GA`HFaIKbJQcKVeL_fMdgNjhOoiPt8dY8eY\
  9gY9hX9jXAkXAmXBnXBpXBqXCrZCs_CsaDtbDudDueDvgEwhEw\
  jExkFymFynFzpFzqGyoHymIykJyiKxhLxfLxdMxbNxaOw_PwYQ\
  wWRwURvTSvRTvPUvNVvMWuKXuIXuGYuEZtD_mB`m9am7am6ja8\
  jaAjaCja9mcZmccmccPLTOKSNKRNKQMKOLFNKFMKEKJEJIEIHE\
  HHEFGEEFDDEDCEDADD9CD8CD7FGIHHTJKbLMmNPwOSuPUtcksc\
  mrcmqcmpcmocmncnmcqlctkcwjczhczgczfczeczdczbmzamz`\
  mz_mzZmzYmzUmzUzzUzzczzczzczzczzczzczzmzzmzzmzzmzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:DivideBrot5   { ; Jim Muth
z=(0,0), c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }

; END PARAMETER FILE=========================================
; 
; 
; 
; _______________________________________________
; Fractint mailing list
; Fractint@mailman.xmission.com
; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
;