Fractals
From GenerativeArt
(Difference between revisions)
(→Fractal or Box Counting Dimension) |
Current revision (22:33, 16 September 2013) (view source) (→Fractal or Box Counting Dimension) |
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{{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg3.gif|caption=Note that a line segment has a fractal dimension of 1}}<br /> | {{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg3.gif|caption=Note that a line segment has a fractal dimension of 1}}<br /> | ||
{{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg4.gif|caption=Note that a square has a fractal dimension of 2}}<br /> | {{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg4.gif|caption=Note that a square has a fractal dimension of 2}}<br /> | ||
| - | {{SingleImage|imageWidthPlusTen= | + | {{SingleImage|imageWidthPlusTen=600|imageURL=http://philipgalanter.com/generative_art/graphics/sierp-det.GIF|caption=The Sierpinski triangle is constructed yielding 3 copies at 1/2 size so the fractal dimension = log(3)/log(2) = 1.58}}<br />{{SingleImage|imageWidthPlusTen=1000|imageURL=http://philipgalanter.com/generative_art/graphics/box_counting_dimension.png|caption=Here is an illustration of the box counting method to measure the fractal dimension of actual objects, in this case the coastline of England}}<br /> |
