File:Self-affine set.png
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Summary
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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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:08, 10 July 2017 | | 957 × 477 (18 KB) | Thales (talk | contribs) | A self-affine fractal set. Build iteratively from a <math>\scriptstyle{p \times q}</math> array with <math>\scriptstyle{p \le q}</math>. Its Hausdorff dimension equals <math>\log{\left (\sum_{k=1}^p n_k^a \right )} / \log{p}</math> with <math>a=\log{ p... |
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