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pure fractality
pure fractality
bspurgeon


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.

Statistics
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: 527
Views during voting: 238
Votes: 117
Comments: 13
Favorites: 2 (view)

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AuthorThread
OM System OM-5
Olympus 17mm f/1.8 M.Zuiko
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.
  Photographer found comment helpful.
Ricoh GR III
Pentax DA 18-135mm F3.5-5.6ED AL [IF] WR DC
 08/29/2012 12:49:45 AM
it would take too long to say.
  Photographer found comment helpful.
 Comments Made During the Challenge
OM System OM-1
Olympus 12-40mm f/2.8 Pro
08/28/2012 11:21:04 PM
This is simply divine. 10
  Photographer found comment helpful.
Canon EOS-7D
Canon EF 50mm f/1.4 USM
 08/28/2012 09:44:43 PM
Just the right amount of everything and nothing
  Photographer found comment helpful.
OM System OM-5
Olympus 17mm f/1.8 M.Zuiko
08/28/2012 09:24:07 PM
elemental... love it.
  Photographer found comment helpful.
Nikon D750
Nikon AF Zoom-Nikkor 35-70mm f/2.8D
 08/28/2012 01:02:16 PM
To infinity and beyond.
  Photographer found comment helpful.
Fujifilm X30
Custom Made Pinhole
 08/28/2012 09:33:47 AM
Love that foam.
  Photographer found comment helpful.
Canon Canon 1d x Mark II
Sigma 85mm f/1.4 FG HSM Art
 08/28/2012 02:03:10 AM
it sure is, so lovely~ so have one of these
  Photographer found comment helpful.
Canon EOS-6D
Canon EF 100mm f/2.8 L Macro IS USM
 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.
Nikon D90
Tamron AF 18-270mm F/3,5-6,3 Di II VC LD Aspherical [IF] macro for Nikon
 08/23/2012 05:00:08 PM
nice and soft photo, very pleasing to look at
  Photographer found comment helpful.
Nikon D500
Sigma 18-250mm f/3.5-6.3 DC OS HSM
 08/23/2012 08:42:09 AM
Totally! I believe that this is what fractal is all about.
  Photographer found comment helpful.
Nikon D750
Nikon AF-S Nikkor 17-35mm f/2.8D IF-ED
 08/22/2012 08:16:06 PM
Straight from Curiosity
  Photographer found comment helpful.
Sigma DP1x
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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