The geometry of coastlines: a study in fractals

Document Type

Article

Publication Date

1-1-1986

Abstract

The geometry of coastlines, based on an empirical study by Lewis Richardson, is presented as a way of introducing the subject of fractals developed by Benoit Mandelbrot. It is shown how the statistically self-similar nature of coastlines can be generalized to an interesting class of point sets, curves and surfaces with the same property. Brownian and fractional Brownian motion are introduced as ways of generating statistically self-similar curves with the appearance of coastlines and mountain ranges. © 1986.

Identifier

40149091950 (Scopus)

Publication Title

Computers and Mathematics with Applications

External Full Text Location

https://doi.org/10.1016/0898-1221(86)90417-7

ISSN

08981221

First Page

655

Last Page

671

Issue

3-4 PART 2

Volume

12

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