Deepzooming with Bengt Månsson

Bengt Månsson in Sweden has submitted several more of his deep-zoom images. He continues to devote his time and energy exploring these remote regions of the mset.

The following deep-zoom images are from the largest mini-MS in the usual Mandelbrot set, with its cusp at -1.75. The zoomings start at the end of a sprout, emerging from the cardiod-like component. The starting point is indicated by the small box in this image:

MIN1-BEG

After a great number of zooms the repeating pattern begins to bifurcate into more and more rays, seemingly from one point and at magnification 2.1*10^114, and 2*10^4 iterations this emerges:

MIN1-114

These types of pattern often indicate a mini-MS and some zooms later it becomes visible.

At magnification 1.7*10^118, and 2*10^4 iterations this very small

mini-MS becomes visible: MIN1-118

Note the combination of radial and circular structures.

Like in any mini-MS there are even smaller copies of the Mandelbrot set, and in the same combinatorial patterns. On the main antenna, near the tip, this one is found:

MIN1-128

The magnification is 2.6*10^128, and the number iterations 6*10^4. Logarithmic palette is used, and this picture is very like what is found at much lower magnifications.

Zooming in on the pattern outside the mini-MS in picture 1 resulted in this picture:

MIN1-231

at 5.9*10^231 times magnification, and 2*10^4 iterations. The area is located to the right of the mini-MS, near the border of picture. The picture is included because of its intricate patterns. Certainly there should be small mini-MS:s to be discovered here.

"bengtmn@algonet.se"

You can also view more detailed information on Fractint's Deepzooming by looking at the online documentation.

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