 ##  [Box‑Counting Dimension](/box-counting-dimension) 

  ##  [Box‑Counting Dimension](https://natural.quantumdictionary.io/box-counting-dimension-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A fractal scaling exponent defined by covering a bounded set S with a grid of boxes of side length ε, counting N(ε) boxes that intersect S, and taking the scaling exponent dim_B(S)=limsup_{ε→0} (log N(ε))/(-log ε).