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pure fractality
pure fractality

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

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.

Place: 62 out of 85
Avg (all users): 5.3675
Avg (commenters): 8.1000
Avg (participants): 5.6957
Avg (non-participants): 5.1549
Views since voting: 295
Views during voting: 238
Votes: 117
Comments: 13
Favorites: 2 (view)

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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.

' . substr('//www.dpchallenge.com/images/user_icon/21_F.gif', strrpos('//www.dpchallenge.com/images/user_icon/21_F.gif', '/') + 1) . ' tnun says it better.
  Photographer found comment helpful.
08/29/2012 12:49:45 AM
it would take too long to say.
  Photographer found comment helpful.
 Comments Made During the Challenge
08/28/2012 11:21:04 PM
This is simply divine. 10
  Photographer found comment helpful.
08/28/2012 09:44:43 PM
Just the right amount of everything and nothing
' . substr('//images.dpchallenge.com/images_portfolio/110000-114999/113278/120/Copyrighted_Image_Reuse_Prohibited_1028934.jpg', strrpos('//images.dpchallenge.com/images_portfolio/110000-114999/113278/120/Copyrighted_Image_Reuse_Prohibited_1028934.jpg', '/') + 1) . '
  Photographer found comment helpful.
08/28/2012 09:24:07 PM
elemental... love it.
  Photographer found comment helpful.
08/28/2012 01:02:16 PM
To infinity and beyond.
  Photographer found comment helpful.
08/28/2012 09:33:47 AM
Love that foam.
  Photographer found comment helpful.
08/28/2012 02:03:10 AM
it sure is, so lovely~ so have one of these ' . substr('//images.dpchallenge.com/images_portfolio/110000-114999/114285/120/Copyrighted_Image_Reuse_Prohibited_1014169.jpg', strrpos('//images.dpchallenge.com/images_portfolio/110000-114999/114285/120/Copyrighted_Image_Reuse_Prohibited_1014169.jpg', '/') + 1) . '
  Photographer found comment helpful.
08/24/2012 02:27:03 PM
7 from me. It's odd that I like something like this.

Congrats. *grin*
  Photographer found comment helpful.
08/23/2012 05:00:08 PM
nice and soft photo, very pleasing to look at
  Photographer found comment helpful.
08/23/2012 08:42:09 AM
Totally! I believe that this is what fractal is all about.
  Photographer found comment helpful.
08/22/2012 08:16:06 PM
Straight from Curiosity
  Photographer found comment helpful.
08/22/2012 07:25:43 AM
Coastlines are a classic example. Technically they're infinitely long. Pleasing tones and textures here.
  Photographer found comment helpful.

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