Accuracy of the box counting algorithm for numerical computation of the fractal exponents is investigated. To this end several sample mathematical fractal sets are analyzed. It is shown that the standard deviation obtained for the fit of the fractal scaling in the log-log plot strongly underestimates the actual error. The computational error was found to have power scaling with the number of data point in the sample ($n_{tot}$). Also, the error is larger for higher dimensional fractal sets. Obtained formula can give more realistic estimates for the computed fractal exponents' accuracy.

1. PRESENTATION: Accuracy analysis of the box counting algorithm, PDF document, version 1.2, 1.2MB

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