File:Self-affine set.png
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[edit]DescriptionSelf-affine set.png |
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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Source | Own work |
Author | Prokofiev |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 09:50, 6 June 2009 | 957 × 477 (18 KB) | Prokofiev (talk | contribs) | {{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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