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Navigational hierarchy for the sample fractals:Home : Image Gallery : Squiggle (21 KB)
 

Fractal Image: Squiggle

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: Squiggle]

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):

 

What else could I name this fractal image but "Squiggle"? It is just a piece of fractal flotsam I was lucky enough to stumble across while exploring the Mandelbrot fractal. It is a rather interesting shape, don’t you think? I was curious as to how many times the squiggle wiggled (changed directions). I could count the big bends without too much trouble, but as I worked my way to one end, it looked like there may be a couple of small wiggles at the very tip too small to count easily. To see these better and get an accurate count, I simply shifted the center and increased magnification. Yep, there were several additional wiggles right at the very tip. But at the higher magnification, there now looked to be a few more, still smaller wiggles yet to be counted. So I shifted the image center and increased magnification again. And then the light went on (sound of me slapping myself on the forehead). The more magnification is increased, the more wiggles there will be: there are, in fact, an infinite number of wiggles. Squiggle is a fractal, after all, and fractals go on forever. I stopped counting.

 

About the Fractal Image (Technical):

 

The "Squiggle" 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 Squiggle fractal is a portion of the Mandelbrot fractal shown at a magnification of about 2,000,000X. At this magnification, the Squiggle fractals' size in the original Mandelbrot image (magnification = 1X) was about the size as a virus.
 

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