Fractal visionaries and enthusiasts:

Yesterday's image showed the outer parts of the basin surrounding a minibrot lying at a depth of one-googol on the main stem of the Mandelbrot set.  In yesterday's image, the minibrot was invisible; today's image takes us down to the minibrot itself.

At this extreme depth the minibrots have a tendency to all look the same, with little more than rings of concentric circles surrounding the minibrots and extending out to the point where the minibrot itself becomes invisible.

Another problem is visible in today's image, where the finer details merge into a chaos of Moire interference patterns.  Sometimes these patterns can become quite interesting, though this is not the case in today's image, where they simply spoil the effect.  Calculating the image at a higher resolution will reduce these interference patterns, but this will also increase the calculation time, which even at 640x480 is over one hour.

I could give the image no rating.  After all, it is a virtual repeat of yesterday's image.

The name "A Googol is Deep" refers to the depth of today's scene.  A googol is also a very large number, yet still merely an infinitesimal part of infinity.

The calculation time runs just over one hour.  To make the image worth the effort, I recommend viewing the finished image on the active FOTD web site at:

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

remembering, of course, to give Hal a chance to render and post the finished image.

And don't forget the original FOTD web site at:

<http://www.Nahee.com/FOTD/>

I see that some fractal fans on the list are still wondering what ever happened to the FOTD CD I was talking about a number of years ago.  What happened was that I realized that the estimated profit from creating such a disk would fall far short of justifying the effort needed for its creation.  Among other things, I would need to calculate high-resolution versions of all the past FOTD images.

But the idea is still simmering on the back burner, and if I saw a reasonable demand from people who were willing to pay a fair price for the disk, I could produce it in about a month.  As things stand now however, I feel such a demand is unlikely to happen.

Meanwhile, the FOTD web site is on the way.  Perhaps I was too optimistic in estimating the amount of time needed to create a satisfactory design and the amount of work required to achieve that design.  To avoid further disappointment, I'll stop commenting on the web site's progress until it is up and running.

Nondescript conditions prevailed here at Fractal Central on Tuesday.  The cloudy skies and temperature of 34F +1C were a welcome relief from the bitter cold of the past several days.  But the forecast is for more snow on Wednesday.

The fractal cats spent their day keeping warm.  I spent my day doing double duty, while FL spent her day trying to fight off a cold or the flu.  She got rather annoyed when I jokingly said the flu shot she got in November must be finally starting to work.

The next FOTD will be posted in 24 hours.  Until then, take care, and if I am a Boltzmann brain, then Boltzmann brains are all in my mind.

Jim Muth
jamth@mindspring.com


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