Fractal visionaries and enthusiasts:

 I have been wondering lately why I consider fractal spirals to be boring merely because there are so many of them, while never becoming bored with the almost constant flow of minibrot scenes I post in the FOTD.   I guess beauty, as always, exists in the eye of the beholder.

Today's venture into Seahorse Valley takes us into the valley of an oversized Mandelbrot set that is quadratic on the surface but cubic in its depths.   The imaginary value of 0.0588... might not seem too deep, but the parent fractal is ten times the size of the classic Mandelbrot set, so the things we find here are more typical of the things at a depth of 0.00588... in the classic M-set.

The expected peanut holes are there, though they are shaped more like circular disks than peanuts, and have three lobes rather than four.   The minibrot at the center is pure cubic, but with a series of 2,6,18... elements surrounding it, rather than the expected 3,9,27...

The rating of a 6 is all I could do for the image, since I could find nothing really exceptional about it.   Also, the very slow calculation time of 1-1/3 hours, which is due to the overall unusually high iteration count, makes the calculation pretty much a computerized chore.   Luckily, relief for fractal distress may be found on the FOTD web site at:where I have sent the finished image on ahead so that it could be posted as quickly as possible for instant excitement and total satisfaction.

The clouds not only hung tough all day here at Fractal Central on Wednesday, but rain also fell all day, and the temperature never topped a very un-summery 61F 16C.   The fractal cats liked this not at all, and showed their displeasure by squatting down and sulking in the middle of the hallway, where they had to be stepped over and could not possibly be un-noticed.

Meanwhile, my day was fair enough.

The next FOTD of a Seahorse Valley will be posted in 24 hours.   Until then, take care, and what a frustration it would be to spend one's whole life searching for the answer, only to find the question was wrong.


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

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