Fractal visionaries and enthusiasts:  

Today's scene in the Mandelbrot set has been dredged from the surrounding chaos, which is why I named it "Buried in Chaos".

To find the scene, start at the center of the large period-3 northern bud of the M-set and travel north through the smaller buds until you reach the filament.  Then set out along the filament until you come to the point where it branches into two filaments.  Take the western branch until you reach the large minibrot.  Advance to the large western bud of the minibrot and check the chaotic northwestern shore line of this bud.  Search for a certain smaller minibrot buried in this chaos, then zoom in on the northern branch of its Seahorse Valley.  Today's scene lies in this valley.

If you are still not lost, you will find the tiny minibrot at the center of today's image surrounded by apparently featureless chaos.  At first glance, the scene looks hopeless, but proper coloring will reveal the almost totally hidden features that are visible in today's scene.

The art and math both rate a 7.  The art earned its points because of my extra efforts, the math, because the area is usually passed over.

The image finishes in a speedy 2 minutes, but this time will vary widely on different machines.  For an insignificant increase in resolution, calculate the scene using arbitrary precision math and sit back to wait many hours instead of a couple minutes.  Luckily, the web sites can remove the need to make such big decisions.

The warm weather continued here at Fractal Central today, as the temperature reached 77F 25C under a mix of sun and clouds.  Only an overly brisk wind kept the day from being perfect.  The fractal cats grew alert when a tough looking tabby tomcat wandered into the yard, but when the intruder wandered off, they settled down and made it through the rest of the day peacefully.  The fractal humans made it through the day also, though perhaps not quite as peacefully as the cats.

Unless something unexpected comes up, the next FOTD fractal image will be posted in roughly 24 hours.  Until then, take care, and a petition was recently submitted to the Washington Post, demanding that the newspaper stop printing articles that question global warming.  The petition had gathered 100,000 signatures!  It's comforting to know that Big Brother's minions are still alive and hard at work letting us know what is good for us.

Jim Muth
jimmuth@earthlink.net


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