Fractal visionaries and enthusiasts:

Today’s image takes us on a quick trip rather deep into the west side of Scepter Valley of the Mandelbrot set, which is the valley at -1.25 on the X-axis.  In this area we find the tiny things I call ‘peanut holes’.  These holes appear to be far more plentiful than minibrots, though with an infinity of both, this is not mathematically true.

Anyone who has ever enjoyed a bag of fresh roasted peanuts in the shell knows that most peanuts have two ‘nuts’ in a shell, but some freaky ones have only one nut in a shell, while others have three and rarely four nuts in a single shell.  The peanuts in today’s image are the ‘three-in-a-shell’ kind, and they surround the minibrot, growing ever smaller and more numerous the closer to the minibrot we look.  Actually, these peanuts are not really trapped points at all, since they fill-in when the maxiter is raised.

When rendered in the normal manner, today’s image falls kind of flat, so to add some life, I calculated the image with the outside set to ‘real’.  The result turned out to be too busy and disorganized for a rating higher than a 6, but with a calculation time of only 1-2/3 minutes, not much effort will have been wasted if the result proves disappointing.

The name “Chunky Peanut Butter” seemed appropriate when I noticed the number of tiny peanut holes filling the screen.  The task of calculation may be avoided by viewing the finished image on the FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original web site may be accessed at:

     http://www.Nahee.com/FOTD/

Pleasant conditions prevailed here at Fractal Central on Thursday as the sun shone brilliantly and the temperature reached 61F 16C.  The sun is now climbing high enough during the midday hours that it misses the back edge of the fractal cats’ window shelf, so they spent the afternoon on the front part of their shelf, watching for stray cats to wander by.

With the spring jobs coming in, my day was rather busy, but I still found time to find a fractal.  The next FOTD will be posted in two days, more or less.  Until then, take care, and be wary of e-mails that want you to stand in as the heir to an abandoned sum of 26-million U.S. dollars.

Jim Muth
jamth@mindspring.com


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