File:Self-affine set.png

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English: A self-affine fractal set. Build iteratively from a array with . Its Hausdorff dimension equals with and is the number of elements in the column. Here it is 1.8272. The box-countig dimension yields a different formula, therefore, a different value. Unlike self-similar sets, the Hausdorff dimension of self-affine sets depends on the position of the iterated elements and there is no formula, so far, for the general case
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Author Prokofiev

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6 June 2009

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current09:50, 6 June 2009Thumbnail for version as of 09:50, 6 June 2009957 × 477 (18 KB)Prokofiev{{Information |Description={{en|1=A self-affine fractal set. Build from a <math>\scriptstyle{p \times q}</math> array with <math>\scriptstyle{p \ge q}</math>. Its Hausdorff dimension equals <math>\log{\left (\sum_{k=1}^p n_k^a \right )} / \log{p}</math> w

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