According to the link below, fractal dimension is an exponent of some sort:(adsbygoogle = window.adsbygoogle || []).push({});

http://www.vanderbilt.edu/AnS/psychology/cogsci/chaos/workshop/Fractals.html

The Hausdorff Dimension (aka fractal dimension) is denoted asDin the website above. Andris the base number.

If we were to look at any image and use Hausdorff Dimension approximation methods such as the box counting method (http://classes.yale.edu/fractals/fracanddim/boxdim/BoxDim.html) for approximating the Hausdorff Dimension which isDinN=r^D. The link describes how to findDusing the box-counting method, but it doesn't explain how to derive atr. Is there a way in how we getrusing the box counting method or any other Hausdorff Dimension approximation methods?

The reason I ask is because in the case of the Koch Snowflake, we know the initiator and generator (refer to first link if you're not familiar with these two terms) because it is something created by man; in other words, we already know itsDandrbecause these values are chosen by man (aka man-made). However, if we were to take a picture of a real tree in my backyard for example (trees in general have a wonderful fractal dimensional branching pattern), we can use the box counting method to approximate atDwithout knowingr. So I wanted to know if we can derive atrusing the box counting method or any other Hausdorff Dimension approximation methods.

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# Finding base number with Hausdorff Dimension Approximation methods?

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