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.

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