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How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3.

Also, I know there is a number of different ways to define fractal dimension (Hausdorff dimension, Correlation dimension, Pointwise dimention etc.): are these equivalent or does it matter which one is used?

Thanks.

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# Dimension of fractal object

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