Fractals
From GenerativeArt
(Difference between revisions)
(→Stochastic fractal river) |
(→Fractal or Hausdorff dimension) |
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| - | ===Fractal or | + | ===Fractal or Box Counting dimension=== |
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| - | + | A measurement of dimension filling. For example, D = 1.4 means it fills more than a line, but less than a plane.<br /> | |
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e.g. in traditional units a Koch curve will have infinite length but 0 area. Not useful.<br /> | e.g. in traditional units a Koch curve will have infinite length but 0 area. Not useful.<br /> | ||
| - | {{SingleImage|imageWidthPlusTen= | + | {{SingleImage|imageWidthPlusTen=410|imageURL=http://philipgalanter.com/generative_art/graphics/kochcurveprogression.gif|caption=The recursion of a Koch curve}} |
| - | {{SingleImage|imageWidthPlusTen=510|imageURL=http:// | + | {{SingleImage|imageWidthPlusTen=510|imageURL=http://philipgalanter.com/generative_art/graphics/box_counting_formula.png|caption=}}<br /> |
{{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg2.gif|caption=}}<br /> | {{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg2.gif|caption=}}<br /> | ||
{{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg3.gif|caption=}}<br /> | {{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg3.gif|caption=}}<br /> | ||
{{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg4.gif|caption=}}<br /> | {{SingleImage|imageWidthPlusTen=510|imageURL=http://www.viz.tamu.edu/courses/viza626/10Fall/fractImg4.gif|caption=}}<br /> | ||
| + | {{SingleImage|imageWidthPlusTen=510|imageURL=http://philipgalanter.com/generative_art/graphics/box_counting_dimension.png|caption=}}<br /> | ||
