How Long Is the Coast of Britain ?

@inproceedings{Mandelbrot2009HowLI,
  title={How Long Is the Coast of Britain ?},
  author={Benoit B. Mandelbrot},
  year={2009}
}
Geographical curves are so involved in their detail that their lengths are often infinite or, rather, undefinable. However, many are statistically "selfsimilar," meaning that each portion can be considered a reduced-scale image of the whole. In that case, the degree of complication can be described by a quantity D that has many properties of a "dimension," though it is fractional; that is, it exceeds the value unity associated with the ordinary, rectifiable, curves. Seacoast shapes are examples… CONTINUE READING
Highly Cited
This paper has 124 citations. REVIEW CITATIONS
Recent Discussions
This paper has been referenced on Twitter 3 times over the past 90 days. VIEW TWEETS

2 Figures & Tables

Topic

Statistics

0102030'07'08'09'10'11'12'13'14'15'16'17'18
Citations per Year

125 Citations

Semantic Scholar estimates that this publication has 125 citations based on the available data.

See our FAQ for additional information.