;     Date: Mon, 30 Jan 2012 15:25:30 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 28-01-12 (Hither and Yon [7.5])
;       Id: <1.5.4.16.20120130152705.381fc298@earthlink.net>
; ---------
; 
; FOTD -- January 28, 2012 (Rating 7.5)
; 
; Fractal visionaries and enthusiasts:
; 
; ANOTHER NEW FORMULA!  THE 'SliceJulibrot6' FORMULA HAS BEEN 
; RENAMED!
; 
; I have renamed the 'SliceJulibrot6' formula 'JulibrotMulti'.  I 
; did this because it was pointed out that I previously wrote a 
; formula named 'SliceJulibrot6'.  I never did much with that 
; old formula, but it might still be floating around, so to avoid 
; confusion I have renamed the new formula.
; 
; Today's image is an almost-Julia set of the eastern edge of the 
; large minibrot on the main stem of its parent Mandelbrot set, 
; which is infected with Z^5 energies in its depths.  I call it an 
; 'almost' Julia set because it is double rotated 1-1/2,1-1/2 
; degrees from the true Julia orientation.
; 
; In images this close to the Julia orientation, a small rotation 
; makes a big difference.  The difference in today's image is the 
; totally chaotic arrangement of filaments, which inspired the 
; name "Hither and Yon", (come and go).  Another difference is the 
; existence of the two small near-perfect Z^5 minibrots, a rarity 
; this close to the Julia orientation.
; 
; The rating of a 7-1/2 implies that I felt some disappointment in 
; the artistic aspect of the image, but also that it holds enough 
; math interest to earn it FOTD status.
; 
; The calculation time of a hyperfast 8 seconds will leave no 
; chance for impatience to raise its jittery head.
; 
; Another way to avoid impatience is to view the finished image on 
; the FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; or to view it in high definition at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original FOTD web site may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The day turned out unexpctedly pleasant here at Fractal Central, 
; with ample sun and a temperature of 48F +9C.  The fractal cats 
; spent most of the afternoon on their shelf in the southwest 
; window, enjoying the sun.  A brief rain shower passed over late 
; in the afternoon, but by then the pleasant day was in the bag.
; 
; The humans did what introverted humans do best -- thinking deep 
; thoughts about nothing in particular.  The next FOTD will be 
; posted in 24 hours.  Until then, take care, and sometimes it is 
; possible to think deeply without knowing what you are thinking 
; about.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Hither_and_Yon { ; time=0:00:08.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip float=y
  center-mag=-0.0830872/0/1.173709/1/-90/0 inside=0
  params=5/6/88.5/0/88.5/0/-10.4/0/0/0 maxiter=1200
  colors=0000000000000000000000100200300400500601712\
  823A35C56E6AI8DMAFQCITEKWGNZIPaKSdPUgUXlZZqccvhhzm\
  pzzuzzzpzmjzcgzVdzTbzS_vQXrPVmNShMPcKNeJKhHHkGFmOk\
  4Pi5Pg6Qe7Qc8Qa9R`9RZARXBSVCSTDTSDTQETOFUMGUKHUJHK\
  RBBY6G_7L`8Qb9VcAZeBcfChhDmiEqjEogHndKmbNl_QkYSiVV\
  hTYgQ`fOceLecJhbGkaEn`Bq_9sXBqVDoSFmQGlNIjLKhIMfGN\
  eDPcBRa8T_6UZ5W_5Y_5__4a`4c`4e`3fa3ha3ja2lb2nb2pb2\
  qbIrYYrTVnUTkVRgWPdXN`XLYYJUZGR_EN`CK`AGa8Db69c46d\
  23d35e47e49f5Bf6Dg6Fg7Hh8Jh8Kh9Ne9QbAT_AWXAZVBaSBd\
  PCgMCjJClHGjKJiMMhOQfRTeTWdV_bYba_e`ah_cg_ajUWlPQo\
  KKqFEtA8v52lBNbGgaIZ`KR`MJ_OB_Q3aVAc_HiriedOgiVina\
  kshdBeeIgfOhgUih_jiekjklkqmOOad6yIJt`iqblpdnpfpohs\
  ojunK9eZZjPrtTssWtr_uqbupfvoiwnfZHgbMheQihUikYjnbk\
  qfltj7CdEKfLShS_iZgkeompQzoZwnftmoq4gRGkXRobashp5I\
  BdKGgOLiSQlWUn_ZpccsghukfGLgMPhRTiXXia_jgcklglrkPI\
  4`bSkNclVflahlijlplN5PWOY }

frm:JulibrotMulti   {; 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)-0.0000000000000000001,
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=z*z*fn1(z^(aa)+bb)+c
  |z|< 100000000 }

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