Fractal visionaries and enthusiasts: 

Today's fractal scene lies in the Julibrot that results when various portions of (Z), Z^(3), (1/Z) and Z^(2) are mixed together before straight (C) is added on each iteration.  This unlikely combination has three initial values of Z that are critical.  They are 0.098... -0.105... and -0.473, and all of them produce variations of a single fractal theme.

Today's scene lies in the parent Mandeloid that appears when Z is initialized to the first critical value of 0.098...  This parent appears as two Mandeloids lying butt to butt along the X-axis.  Todays scene lies in the "East Valley" of a large open area on the negative spike extending west from the main bud of the western Mandeloid.

The image is filled with the goofy eyes that usually surround minibrots in East Valley areas.  But these eyes are much larger and also more decorated than the typical eyes, with a network of strings of smaller eyes throughout the scene.

The central minibrot is a bit under-resolved.  This is no problem however, since we all know what undistorted quadratic minibrots look like.  The lack of full resolution is made up for by a better distribution of the higher-iteration colors.

The name "Integral Eyes" might imply more than the image delivers.  It came to me out of nowhere, probably from some forgotten sci-fi novel I read many years ago.

The art rating of 7 and math rating of 6 make the calculation time of 2-3/4 minutes a bit more than the image is worth.

A mix of clouds and sun with a pleasant temperature of 72F 22C made everyone happy here at Fractal Central today, including the fractal cat, who stretched out when a stray beam of sunlight happened to fall on him.  The humans had another in an endless string of everyday days.  This might seem boring but don't be bored.  The FOTD is not a soap opera or telenovella.

The next in the near endless string of fractal images will most likely be posted next month, which just happens to begin in seven hours or so.  Until then, take care, and I sure would like to see the shadow in 3-D space of a skeletal 4-D hypercube (tesseract) in a state of double rotation.

Jim Muth
jimmuth@earthlink.net


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

Integral_Eyes      { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=ident float=y
  center-mag=-1.003768662815/0/7724957 params=1/1/-1\
  /3/0.01/-1/0.3/2/0.09853323612/0 maxiter=1800
  inside=0 logmap=232 symmetry=xaxis periodicity=6
  colors=000sPloSmkVnhXod_o`bpYdqUgrQjsMmsJotFruBuv8\
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  VoPZnTanW`mY`lZ`k_`j`_ia_ib_hc_gdZffZeiZemZdrYcvYb\
  zYazYavV_rTYmRWhPUcNSZLPUJMQHJMFGJDDGBBC999786968A\
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  L_zM`zOazQbzSczTdzTezTfzSgzShzSizSjzSkzSlzSmzSnzSo\
  zSpzSqzSrzSszStzSuzSvzSwz }

frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }

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