Fractal of the Day
by Jim Muth

Fanciful Cubical ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- May 02, 2009   (Rating 7.5)

Fractal visionaries and enthusiasts:

Friday began with the discovery, via e-mail, that an unknown relative had died in England and left me over 2-million pounds.   All I need to do is send a check for 725 dollars to the lawyer holding the money, and he will forward the 2-million pounds to me.   The money I am to send will cover the legal work and transfer fees.

I replied, telling the lawyer to deduct the transfer fees from my 2-million pounds and send the remainder to me.   I expect to be a millionaire within 2 weeks!   But just in case something goes wrong, I have not yet given up my regular income, nor have I given up finding fractals.

The parent fractal of today's image is not a cubic Mandeloid, it is a pretty much normal, though oversized, traditional Mandelbrot set.   There is nothing normal about the large minibrot on the negative spike however.   Its main bay has split into at least 3 sections, and its East Valley has split into 2 East Valleys.   Today's scene is located very deep in a looping filament in the northern East Valley.

At the extreme magnitude of over 7*(1011), all traces of the quadratic parent have long since vanished.   The image is purely cubic.   Actually, it's a rather interesting cubic scene, with areas of mass chaos contrasting with areas of boring flatness.

I named the image "Fanciful Cubical" because I feel the cubic Mandeloids are under-appreciated.   After all, they are the runner-ups to the champion of all fractals, the Mandelbrot set.

I rated the image at a 7-1/2, which includes 1/2 point for the coloring.   The calculation time of just over 7 minutes may be cut to zero by visiting the FOTD web site at:and viewing the completed image there.

Cloudy skies and light rain did not dampen the spirits of the fractal cats here at Fractal Central on Friday.   The temperature of 68F 20C was just about the middle of their comfort zone.

With the health-care rush out of the way, and the flu panic showing signs of subsiding, my day was average.

The next FOTD will be posted in 24 hours.   Until then, take care, and anyone who thinks I'm going to get 2-million dollars should send me 2-thousand dollars and I'll give him half the 2-million.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Fanciful_Cubical   { ; time=0:07:07.02-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideBrot5 passes=1 float=y logmap=786
  center-mag=-5.041034711270663/+0.02399223935214779\
  /7.538396e+011/1/-78.5/0 maxiter=4800 symmetry=none
  params=3/3 periodicity=10 mathtolerance=0.05/1
  inside=0
  colors=0009BoABrAEtBFvBGxBHyBJy9Ly9Ry9ay9lyBryIlvP\
  boUMhZ9df8frKjyUqyqxyzyyzyy_ryzyyz9yzYyF9000814P9K\
  00074D`65TQ4`TBoS8jUGhZWR5CV5HZ7ObLW9zGJsOYdYyN9yQ\
  9tSEmYTrM8mM7jZFymXyvHyzjyzy9zybihdfdyuhtnkDd6I`5Q\
  YFXXTvrAmgR9zy9zyIrtXfh8At9ByPEoF21LYtT_m_ahbadyaq\
  tbkyj9710rg8mb7j`Gh`WyS9tWLyqttAto9lmAhhOem9ryBiyB\
  hrNeWsA6h6rz9nuGhgUf_612DezDhuLfjSfe`N6`2AIyvuyooo\
  gi1CAOPO45RA9VQMZQo7Sh6WbF`_Uwz9ojGOAxUAoaLfyX9xZD\
  vz9ouGjhUyQ9IVODByUIvyzyyvvrlm1B1C4Mdzyyz9ojBo98jE\
  EhPS000FBDyivvfnG3KM8PTGT`SZyBrJ9dPGbWMb`U`9RyAUyM\
  Xr_`hHBySEy`OmyBQyIWxPZoXc9z98uBEjKW`WyUytXtyay000\
  IJKPf_Z`ZEPVWXZyu9mkEhcUT85`OO23GA4OPGV9zK9zROhXyz\
  jOud`fcyzY9uXRf_9Ax8DrIKjVTdmughjffhftUOoYXj`a3P38\
  R7JRHTVT`654FX5KZEOZWX`yByyR9yVHxZRoe`Nh6Us8`zHgzX\
  lz9kzFyzyyzydzylzsyzrxzpuzn9zJ9zwMzrazmizflzjXz9wz\
  9azylzytzxyzxyzrHzy9zk9zM }

frm:DivideBrot5   { ; Jim Muth
  z=(0,0), c=pixel, a=real(p1)-2,
  b=imag(p1)+0.00000000000000000001:
  z=sqr(z)/(z^(-a)+b)+c
  |z| < 1000000 }

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

Want to view, create, or know more about fractals?

Go to Paul's Fractal Links webpage,
to the renowned Fractal Census,
or to the revised Spanky Fractal Database.

Plus, to Paul's hostings of:
O's Fractal Art Gallery,
to his own older Fractal Pages, or
to his latest web pages for Fractals.

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