How Complex Is a Fractal? Head/tail Breaks and Fractional Hierarchy

  title={How Complex Is a Fractal? Head/tail Breaks and Fractional Hierarchy},
  author={Bin Jiang and Ding Ma},
  journal={Journal of Geovisualization and Spatial Analysis},
  • B. JiangDing Ma
  • Published 26 February 2017
  • Physics
  • Journal of Geovisualization and Spatial Analysis
A fractal bears a complex structure that is reflected in a scaling hierarchy, indicating that there are far more small things than large ones. This scaling hierarchy can be effectively derived using head/tail breaks—a clustering and visualization tool for data with a heavy-tailed distribution—and quantified by a head/tail breaks-induced integer, called ht-index, indicating the number of clusters or hierarchical levels. However, this integral ht-index has been found to be less precise for many… 

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