A fractal dimension is a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured. It has also been characterized as a measure of the space-filling capacity of a pattern that tells how a fractal scales differently from the space it is e...
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http://en.wikipedia.org/wiki/Fractal_dimension
(from the article `fractal`) Another key characteristic of a fractal is a mathematical parameter called its fractal dimension. Unlike Euclidean dimension, fractal dimension is ... ...von Koch`s snowflake is such a curve. At each stage in its construction, the length of its perimeter increases in the ratio of 4 to 3. The ... [2 relate...
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http://www.britannica.com/eb/a-z/f/53
A number that quantitatively describes how an object fills its space. In Euclidean, or Plane geometry, objects are solid and continuous. That is, they have no holes or gaps. As such, they have integer dimensions. Fractals are rough and often discontinuous, like a wiffle ball, and so have fractional, or fractal dimensions.
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http://www.duke.edu/~charvey/Classes/wpg/bfglosf.htm
An extension of the notion of dimension found in Euclidean geometry. Fractal dimensions can be non-integer, meaning that objects can be ``more than a line but less than a plane'' and so on. There is more than one way of computing a fractal dimension, one common type being the Hausdorff-Besicovich dimension. Roughly speaking, a fractal dimension can...
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http://www.encyclo.co.uk/local/20090
a dimension which is some fraction in between a line(1) and a plane(2), or a plane and a solid (3). These fractal dimensions are useful in describing the quality of natural lines and surfaces, such as coastlines, trees, vascular branching and the patterns of trabecula bone
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an index of the complexity of spatial patterns (Turner 1980:175).
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http://www.encyclo.co.uk/local/21070
an index of the complexity of spatial patterns (Turner 1989:175).
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http://www.encyclo.co.uk/local/22030
an index of the complexity of spatial patterns (Turner 1989175).
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http://www.encyclo.co.uk/local/22216
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