Fractal visionaries and enthusiasts:

In today's FOTD I have infected an oversized Mandelbrot set with some Z^8 stuff and checked its huge East Valley to see what the infection causes to happen there.

The first thing I discovered was that when order-8 minibrots mix with quadratic ones, things work out nice and symmetrically around the minibrots, with the powers-of-two series intact.

Today's image shows how neat and orderly things appear when all the numbers fall compactly into place.  (Reduce the real(p1) parameter to 7 and notice how quickly all that hard-earned symmetry vanishes.)

I named the image "Eight Bells", which on a ship happens six times a day.  I can give no logical reason for the name other than a recognition of the order-8 stuff that has corrupted but not diminished the large parent Mandelbrot set.

The rating of a 7-1/2 might have been higher if I had had more time to work on the coloring.  As it is, the colors are a bit flat, but not so flat as to be boring.

The calculation time of just under 2 minutes will pass fast once the detail starts to appear at the top of the frame.

Snow began falling here at Fractal central during the night, and by the time it ended in the late morning, about 7 inches, 18cm, had piled up.  Luckily, the snow was very fluffy and cleared away with almost no effort.  The fractal cats sent encouragement from the window as I finished the sidewakl-cleraing job in less than 20 minutes.  FL had the hot coffee waiting when I returned inside.  The weather for the rest of the day was cloudy with a temperature of 27F -3C.  The humans found a little relaxation at a local antique mall.

The next FOTD will be posted in 24 hours.  Until then, take care, and when all else fails, try the fractal diet.  It's calorie-free and guaranteed to work.

Jim Muth
jimmuth@earthlink.net


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z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }

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