Fractal visionaries and enthusiasts: 

To create today's image I combined various reiterated portions of Z^2, Z^3, Z^4 and Z^5, and initialized Z to a critical point of -2.445...  The parent fractal that results is in two parts -- a Mandelbrot set rotated 180 degrees and an extra Mandeloid on the X-axis some distance east of the M-set.

At first glance, this Mandeloid does not appear critical, but a closer check will reveal that it is filled with perfect minibrots.  Today's image lies near the tip of one of the filaments extending from the eastern end of the main spike of the extra Mandeloid.

The name "Sly Trickery" is a comment on the rendering method, where instead of the usual outside=iter, I reset the outside to 'tdis', which creates the effect of terraces surrounding the central minibrot.

This trickery took a full point from the art worth, dropping it to a 7.  The overall effect is not in the math, it is in the program.  The math aspect is worth only a 6.

The calculation time is a very fast 45 seconds, but the inconvenience of setting up and running the parameter file still exists.

The day began with fog, but when the fog cleared off around 9am, it led to a perfect day with total sun and a temperature of 70F 21C.  The fractal cat enjoyed the conditions fully, then retired to my favorite chair to spend the afternoon sleeping.  The humans passed the day as just one more in a near endless string of similar days.

The next FOTD will be posted in a number of hours.  Until the number is revealed, take care, and before you look to the light for enlightenment, be sure it is the right light.  Remember that the world is filled with wrong lights.

Jim Muth
jimmuth@earthlink.net


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

Sly_Trickery       { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=ident
  center-mag=-1.752840469303519/+0.0457707436589533/\
  3.507371e+009/1/-175/0 params=1/2/0.2/3/0.1/4/0.04\
  /5/-2.445428353012/0 float=y maxiter=1500 inside=0
  outside=tdis periodicity=6 mathtolerance=0.05/1
  colors=000IUJLUJOVKRVLVWLYWM`XNcXNfYOiYPlYPdURYQTQ\
  MUJIWBEY4AZBE_HH_NL_UO`_S`eV``ZYWbWSfTNjRInPErM9vK\
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  KSlLTmLTmMUmNUnNVnOVoPWoPWpQXpRXpRKV5IS6GP6EN7CK7A\
  I88F86C94A9277000576DF8JN7PS7VY6`c5fh5ln4rt3wy3tp6\
  qg9nZBkREhIGe9J91LH0bP0tSKuWUuZaub_v`Zv_XvYVwXUwVS\
  wURwRVwOZwLawIjwFswzvwzzwzzwmzwczvZzuUztKzs4ur4tq4\
  tp4to4sn4sm4rl4rk4rj4qi4qh4qg5nh5ki6ii6fj7dk7Xk7Pl\
  8Im8Am93n95o9DoCKpEQpHRqJTqMUqOVrRXrTYsWZsY`s`atbb\
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  TXRTWKQOEOH7LA1J37K5DL7JM9C4iC4kC4mB5oB5qB5sB5uGAu\
  KFuPKuTPuYTuaYufbujguoluzpuziozfnzcmz`lvYkzWjza`zf\
  SzlJzqAzv1zq6zmBziGzeLzaQzYUzTZzPczLhzHmzDrz9vzAtz\
  BszBrzCqzDpzDnzEmzElzFkzGjzGhzHgzIfzIezJdzJczygzcv\
  zavzZvzXvzVuzSuzQuzOuzLuzJuzHuzIqzJnzKkzLhzMdzNazN\
  ZzOWzPSzQPzRMzSJzSGzTHzTI }

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