| The simplest fractals are self-similar with respect to scale, by which we mean
it satisfies these requirements. |
(1) It is constructed of a collection of different-size elements whose size
distribution satisfies a power-law relaionship spanning at least three scales: |
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(2) It must comprise at least two similar regions in which the arrangement of
elements either mirrors or imitates the structure of the object as a whole. |
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(3) Its features must possess sufficient detail that the overall structure
cannot be more easily explained in Euclidean terms. |