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Navigational hierarchy for the sample fractals:Home : Image Gallery : Nudibranch (17 KB)

 

Fractal Image: Nudibranch

Half-Size Images:

Dragons (21 KB)
Falling (30 KB)
Fern Fronds (19 KB)
Heptagon (52 KB)
Mandelbrot (15 KB)
Nudibranch (17 KB)
Squiggle (21 KB)
Tie Dye (60 KB)
Vertigo (35 KB)
Whirlpool (44 KB)

[Half-size image of the fractal: Nudibranch]

Full-Size Images:

Dragons (92 KB)
Falling (181 KB)
Fern Fronds (84 KB)
Heptagon (261 KB)
Mandelbrot (54 KB)
Nudibranch (57 KB)
Squiggle (91 KB)
Tie Dye (331 KB)
Vertigo (188 KB)
Whirlpool (260 KB)

 

About the Fractal Image (Artistic):

 

The first time I went scuba diving I was on vacation in Maui (Hawaii). We were diving on Molokini Reef, which is the remnant of a volcanic crater. As I had never been scuba diving before, an instructor stayed with me the whole time. This turned out to be a very good thing. Not because something went wrong, but because the instructor knew the reef very well. He guided me from spot to spot, showing me everything the reef had to offer. I saw twice as much as any of the experienced divers exploring on their own.

 

One of the stranger things I saw was a nudibranch – which is a type of shell-less mollusk – like a snail without a shell. The nudibranch had a thin, fin-like appendage protruding from its body that went completely around it – like the brim of a hat. It moved by undulating this appendage, gliding through the water just inches above the ocean floor. It was quite mesmerizing to watch. The nudibranch I saw swimming through the water looked very much like this fractal.

 

About the Fractal Image (Technical):

 

The Nudibranch fractal is one of the Mandelbrot type or Type M example fractals. Type M fractals are infinitely detailed (literally) and are interesting for the patterns formed by the filaments, especially at high magnification. The Nudibranch fractal is a bump on a filament in the Mandelbrot fractal shown at a magnification of 30,000,000X. At such a magnification, the size of the original fractal image (6.5” x 9” at magnification = 1X) has been enlarged to be about twice the diameter of the Moon! The orange region is the fractals’ interior and is monochromatic. With a monochromatic interior, the level of the fractals’ detail is controlled by the iteration threshold, which has been set to 200 for this image – a relatively low value for this level of magnification.

 

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