| Photograph Information |
Photographer's Comments |
Challenge: Fractals (Advanced Editing VII)
Camera: Canon EOS-5D Mark II
Lens: Canon EF 200mm f/2.8 L II USM Lens
Date: Aug 17, 2012
Aperture: 32.0
ISO: 50
Shutter: 0.4
Date Uploaded: Aug 20, 2012
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The sandy beach
In Mandelbrot's classic text, the second chapter is titled: How long is the coast of Britain? I will describe the sandy beach in the two-dimensional context of a map. Thus, the ocean and the land are mostly two- dimensional. Before fractal geometry, the map showed the boundary between the ocean and the land as a smooth curve: a one-dimensional coast. But now, thanks to Mandelbrot, we may zoom in on the coast, and see that it has very small islands, even pebbles, in a densely packed structure. Zooming in again, we see grains of sand on the beach, and in the ocean close to the beach. All this is the coast: it has a fractal dimension. Land penetrates into the ocean in a frothy structure of sand, ocean penetrates into the land in a frothy structure of water in the wet sand. Not only is the coast a fractal, with a dimension more than one but less than two, but it is a fractal region: the coastal zone. The ocean and land are not divided by the coast in a binary fashion: they interpenetrate in a fractal geometry. The fractals of chaos theory (attractors, separatrices, and bifurcations) are all of the sandy beach variety. |
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08/29/2012 08:45:09 AM |
Thanks for the notes too. I never really studied the subject academically but do know that endless fractal possibilities exist. Your photo is an elegant example.
 tnun says it better. |
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08/29/2012 12:49:45 AM |
| it would take too long to say. |
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Comments Made During the Challenge  |
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08/28/2012 11:21:04 PM |
| This is simply divine. 10 |
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08/28/2012 09:44:43 PM |
Just the right amount of everything and nothing
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08/28/2012 09:24:07 PM |
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08/28/2012 01:02:16 PM |
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08/28/2012 09:33:47 AM |
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08/28/2012 02:03:10 AM |
it sure is, so lovely~ so have one of these  |
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08/24/2012 02:27:03 PM |
7 from me. It's odd that I like something like this.
Congrats. *grin* |
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08/23/2012 05:00:08 PM |
| nice and soft photo, very pleasing to look at |
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08/23/2012 08:42:09 AM |
| Totally! I believe that this is what fractal is all about. |
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08/22/2012 08:16:06 PM |
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08/22/2012 07:25:43 AM |
| Coastlines are a classic example. Technically they're infinitely long. Pleasing tones and textures here. |
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