FOTD -- September 19, 2012 (Rating 7)

Fractal visionaries and enthusiasts:

Today's scene is a trip into the parent fractal that results
when three negative parts of Z^(-2.3) are combined with one
negative part of Z^(-5.6) on each iteration before (1/C) is
added.

This parent roughly resembles a diamond filled with debris.  The
southeast point of the diamond has strong Mandelbrot features
including a pseudo-main bay and a very prominent straight main
spike pointing southeast, which terminates as a filament in the
shape of a large broken circle.  Today's scene is located near
the evaporating southwest edge of the shore line of the 'main
bay'.

A good part of the image is actually 'inside' stuff made visible
by the 'zmag' inside fill.  The black inside of the large
central minibrot is hand colored.  Luckily, none of the inside-
the-minibrot color registers also appear outside the minibrot.

The name "Reciprocal of Infinity" is a phrase that came to mind
as I studied the image.  The actual reciprocal of infinity is
zero, though there might be different orders of zero (are they
technically called infinitesimals?) for the different orders of
infinity.  I lack the knowledge to recognize the difference.

With a rating of a 7, the worth of the image falls right in the
middle of the FOTD range.

The calculation time of 4-1/4 minutes is a slight drag, but
headache relief is always available on the web sites.

To avoid a calculation headache check the finished image at:

      <http://www.crosscanpuzzles.com/Archives.html>

A high-definition rendering is at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

All the FOTD back images are online at:

       <http://www.Nahee.com/FOTD/>

After yesterday's washout, when over 3-inches or 8-cm of rain
fell, today seemed quite pleasant.  The sky cleared just after
sunrise, leading to a partly cloudy invigorating day with a high
temperature of 68F 21C.  The fractal cats, fully invigorated,
got into a lively tussle over something only they were aware of.
Little Cassie came out on top, while oversized Nicholas sulked
away his defeat.

The humans passed the mid-week doing totally human things such
as finishing the unexpectedly heavy work.  The next FOTD will
certainly be posted, but I am not saying exactly when.  Until
whenever, take care, and don't forget to add rice to the list of
foods that are hazardous to one's health.


Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Recip_of_Infinity  { ; time=0:04:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+0.4271053768113824/-1.341152341307607/\
  41582/1/-105/0 params=-3/-2.3/-1/-5.6/0/0/0/0
  float=y maxiter=1500 inside=zmag periodicity=6
  colors=000SimOhkKhiGggCgeBdbBa`BZZBXXBUUBRSBOQBMOZ\
  X9US8PN8LI8GE7C97747307BXxDUoERfGOYHLPSVSbdVmnYww`\
  qrbkndeif_ehVaiXUbZMX`ERa7LUETNL`GSh9Zp2dw9hvGluMp\
  uTttZxt`weavRbvCYnKTgSP`_SbVUdRWfN`jUdm_hpe0000000\
  00UUUmZZUUUhbaeXWbRR_LLXFG_DIbBKe9Mg7Nj5Pm3Rp1Tr0U\
  fEOVRIH4NH4RJ4VL5ZN6bP7fR8lT7nV7rWDqWJqWPpWUpW_pWe\
  oWhoWkoXnlXqiXqfXqcXq`XqYXqVXqTe_BhaAjb9mc8od7qe6t\
  f5vg4xh4wZ5vQ6vH6rGCoFIlEOiDUfC_cCd`KaZSZW_WUgTSoQ\
  RiUQdYP_aOVeNQiMLmMGpXSefbWb`XZZXWYXSWXOUXLTXORSQP\
  OSOKVMGXKCZJ8kKZxLxZVr9dmCejFfgHfdKgbMg_PhXRhVNfZJ\
  daGbeC`h8Zl5XoCVpJTqQRrWPsbNtiLuoKvjGkeC``8RW4GS06\
  tS`oUYkVWgWTcXRZZPV_MR`KNaIQcOSdUUeZWgdYhj_ioWgpSe\
  qOdqKbrHarSPgbDXm1Nl6PkARjESjIUiNWhRXgVZgZ_a_TX_MS\
  _FN_9WgLdnXlugciiVYjMNkDBl50m76n9BnAHnCMnESnFXnHbn\
  IgnMhmPimTilWjl_kkbkkfljiljdfb``VWVNSQFTRCUSAVT8WU\
  6XV4YV2RN4LF5F76907PXd0x3 }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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



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