Fractal Dimension Computation in Python Code

[Alex]

> Myk> ... Has anyone got a fast routine for calculating the fractal
> dimension of a set of points in 2 or 3D space?  Thanks.
> 
> According to the inventor of fractals (Hausdorff in the year 1899),
> you can place the set of 2D points next to a wall and shine light
> through them, and the fractal dimension is the percentage of shadow on
> the wall.

Can you give a reference?  This suprises me, because it seems to me that
since a Koch-curve has zero two-dimensional area, it will also cast a
zero-area shadow.  On the other hand, its Hausdorff dimension is greater
than 1, if I recall correctly.  Is Hausdorff dimension the same as
fractal dimension?

Alex.

-- 
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