Fractal visionaries and enthusiasts: 

Today's image shows some Z^(33) hi-jinks.  The scene of the action is the remnant East Valley area of a prominent minibrot on the filament extending from the northwest shore of the large period-2 bud of the parent Mandelbrot set, which is quadratic only on the surface.

The order-33 corruption is visible in the circular features, which contain 32 lobes.  The underlying quadratic framework is obvious in the arrangement of the circles, which resembles a familiar Z^2+C Julia set.

The art and math values are both 7, meaning the image is a bit above average, but nothing to get over-excited about.

The name "The 33rd Degree" has nothing to do with Freemasonry.  It refers to the order-33 corruption that infests the depths of the Parent M-set.

The calculation time is a speedy 40 seconds.  It will waste the time of no one.  But viewing the image will be easier on one of the web sites.

Quite pleasant weather was enjoyed by all here at Fractal Central today, with blue sky, cotton-candy clouds, lower humidity and a temperature of 84F 29C.  The next FOTD will be posted in the proper time.  Until whenever that might be, take care, and would the group really responsible for all our problems please stand up.

Jim Muth
jimmuth@earthlink.net


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

The_33rd_Degree    { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-1.254742878629916/+0.3786539363043855/\
  2.474522e+010/1/32.5/0 params=33/1e+050/0/0 float=y
  maxiter=1600 inside=0 logmap=64 periodicity=6
  colors=0003Of4Pf5Qg6Rh7Si8Uj9VkAXlBZmC`nDanEcoFepG\
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  zJdzEdzFezGezGezHfzIfzIfzJfzKgzKgzLgzMhzMhzNhzzkzz\
  hzzezzbzzQzzQzzRzzRzzRzzRzzRzzRzzRzzRzzRzzRzdRzeRz\
  fSzgSzhSziSzjSzkSzlSzmSznSzoSzpSzqSzpTzqSzzSzzSzzS\
  zzSzzSzzRzzRzzRzzRzzRzzRzzRzzQzzQzzQzzQzzQzzQzzQzz\
  PzzPzzPzzPzzPzzPzzOzzOzzOzzOzzOzzOzzOmtmmtmmtmmtmm\
  ummummummummummummummummummvmmvmmvmmvmmvmmvmmvmmvm\
  mvmmwmmwmmwmmwmmwmmwmmwmmwmmwmmxmJxzJxzJxzJxzJxzJx\
  zJxzJxzGyzIxzJxzKxzLxzMxzNxzOxzPxzQxzRxzSxzTxzUxzV\
  xzWxzXxzYxzZxz_xzawzbwzcwzdwzewzfwzgwzhwziwzjwzkwz\
  lwzmwznwzowzpwzqwzrwzswzvyzuxztwztvzsuzstzrszrrzqq\
  zqpzpozpnzomzolznkznjzmiz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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