Fractal of the Day
by Jim Muth

Seahorse Valley-21 ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- June 21, 2009   (Rating 7.5)

Fractal visionaries and enthusiasts:

Would the real "Seahorse Valley" please stand up.   Today's scene, with its unresolved minibrot and well-resolved peanut holes, lies in Seahorse Valley.   But this valley is not the obvious one.   It is the Seahorse Valley of the large minibrot at -1.75 on the main stem of the Mandelbrot set.

It makes little difference however.   The smaller version has all the features of the large 'true' valley, and even a few extra things such as filaments thrown in.   In fact, today's image is located on one of these filaments leading from a bud on the west side of the parent valley.

At a depth of +0.00003i, the scene is quite far down into the valley.   Only the super-high-speed type=mandel algorithm enables the image to calculate in an astonishing 35 seconds.   I would have switched to arbitrary precision math for a slightly better rendering, but a test showed that this would have increased the calculation time to a very slow 8-1/2 hours, hardly worth the slight improvement.

There must be something of worth in the image, or else I would never have rated it at a 7-1/2.   The greenish-blue background is of my creation; the program did the rest.

If the calculation time of 37 seconds is too fast for comfort, why not zip out to the FOTD web site at:and view the finished image there.

Saturday began with heavy rain here at Fractal Central.   By noon the steady rain changed to heavy showers, which continued on and off into the evening.   The temperature hovered around a reasonable 70F 21C all day.   The fractal cats slept through most of the wetness, becoming active only at mealtime.

My day was average -- enough said.   Unless something totally unexpected happens, the next FOTD will be posted in 24 hours.   Until then, take care, and with an added space 'nowhere' becomes 'now here'.   (I saw it on a church bulletin board.)


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

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

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