Fractal visionaries and enthusiasts:

Today's image is an expedition into the Mandelbrot set.  The trip takes us to a depth of over 10^17, which is not all that deep as images go, but still deep enough to require the much slower arbitrary-precision math routine.

The tiny minibrot in the image is located in the Seahorse Valley of a much larger but still tiny minibrot on a filament extending northwest from the second bud out the main stem of the largest minibrot on the main stem of the parent Mandelbrot set.

And with all this said, it's time to enjoy the image.  In my opinion, the most striking features of the image are the brilliant green area inside the ring of chaos and the 'resetting' of the count of elements as we approach the minibrot.  This resetting to a lesser power of 2 indicates that the minibrot at the center lies in the attraction basin of a larger minibrot, and is not directly attracted to the M-set itself.

The rating of an X is not a rating of a roman-numeral ten.  It means I had a hard time deciding how to rate just another not-so-deep, deep view into the M-set.

The name "Mandelbrot Picnic" expresses the fun of looking into the Mandelbrot set even after more than 30 years beyond its discovery.  With an infinity to explore, there is, and always will be, something new to be found.

The calculation time of today's image is not very much fun however.  Requiring the slower arbitrary math, the image takes over 19 minutes on the 2000mhz machine.

While we were watching the news at lunch on Tuesday, FL made a comment about the 'evil' big-oil companies.  I said nothing at the time, but I did leave a little comment at the end of this discussion.

Lots of clouds and humidity, with a temperature of 84F 29C and showers of rain, made Tuesday a rather unpleasant day here at Fractal Central.  The fractal cats checked the outside conditions several times before deciding to settle on the kitchen floor, where they not only could keep cool, but were within an easy leap if they heard a can being opened.  My day was average; tomorrow will be near the same.

The next FOTD will be posted in 24 hours.  Until then, take care, and if we are so ready to condemn the greedy big oil companies, why do we continue to feed their greed by consuming their products?  In my opinion, our resentment of 'big oil' is a sham.  What we really resent is the way we have let the petroleum conglomerates become our overlords, and in so doing, have become their dependent and obedient serfs.

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


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