Fractal visionaries and enthusiasts:

Today's Mandelbrot image is a high-magnitude scene on the northwest shore line of the main bay, near the point where Seahorse Valley begins.  The magnitude is not quite great enough to make arbitrary math necessary, and as a result, the image finishes in a fireball-fast 3-2/3 seconds.

The image was rendered with the routine settings of outside=iter and inside=0.  Other outside settings add a bit more detail, while some of them slow the calculation to a six-minute crawl.  IMO, the 'iter' rendering is the simplest as well as by far the fastest, and I much prefer simplicity.

The rating of a 7 might be a bit generous, but the image really is unexpectedly rich, coming as it does from such a heavily explored area.

The name "Undiscovered Treasure" points out that the minibrot in today's image has lain undiscovered for nearly 30 years.  The chance that this same minibrot has already been viewed is probably less that one in a trillion, since at this magnitude the full M-set is about the size of the solar system.

The calculation time of 3-2/3 seconds is true only as long as the outside is not set to 'tdis'.  If the outside is set to 'tdis', the image requires almost 6 minutes to calculate, which is over 100 times as long.

Occasional rain here at Fractal Central on Thursday put a damper on outside activities but held the temperature to a far more pleasant 77F 25C.  Luckily, we had no outside activities planned for Thursday, so we enjoyed the lower temperatures.  It was cool enough inside that the fractal cats actually got up from the kitchen floor and made an appearance in the living room, where they let it be known by sitting and staring at the humans that they were hungry.  The humans' day was otherwise uneventful.

The next FOTD will be posted in 24 hours.  Until then, take care, believe the believable and disbelieve the disbelievable.

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


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