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| | Hausdorff dimension - Wikipedia, the free encyclopedia |
 | | Cantor set (a zerodimensional topological space) is a union of two copies of itself, each copy shrunk by a factor 1/3; this fact can be used to prove that its Hausdorff dimension is ln(2)/ln(3), which is approximately 0.63 (see natural logarithm). |
 | | Sierpinski triangle is a union of three copies of itself, each copy shrunk by a factor of 1/2; this yields a Hausdorff dimension of ln(3)/ln(2), which is approximately 1.58. |
 | | Szpilrajn, La dimension et la mesure, Fundamenta Mathematica 28, 1937, pp 81-89. |
| en2.wikipedia.org /wiki/Hausdorff_dimension (254 words) |
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