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A Julia package that estimates various definitions of fractal dimension from data. It can be used as a standalone package, or as part of DynamicalSystems.jl.

To install it, run import Pkg; Pkg.add("FractalDimensions").

All further information is provided in the documentation, which you can either find online or build locally by running the docs/make.jl file.

Previously, this package was part of ChaosTools.jl.


FractalDimensions.jl is used in a review article comparing various estimators for fractal dimensions. The paper is likely a relevant read if you are interested in the package. And if you use the package, please cite the paper.

  doi = {10.1063/5.0160394},
  url = {},
  year = {2023},
  month = oct,
  publisher = {{AIP} Publishing},
  volume = {33},
  number = {10},
  author = {George Datseris and Inga Kottlarz and Anton P. Braun and Ulrich Parlitz},
  title = {Estimating fractal dimensions: A comparative review and open source implementations},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}