[Fractint] FOTD 28-01-12 (Hither and Yon [7.5])

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Author: Jim Muth
Date:  
To: fractint
Subject: [Fractint] FOTD 28-01-12 (Hither and Yon [7.5])

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@???


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=========================================