Skip to main content

Measuring the Fractal Dimension of Boundary Lines

  • Chapter

Abstract

One of the earliest observations of fractal behavior of boundary lines was carried out by Richardson, although it was published obscurely (Richardson 1961). Driven by an interest in finding relationships between the economic and military conflict between nations and the length of their borders, Richardson tried to measure these lengths from maps. But he quickly discovered that the perimeter lengths varied markedly depending on the scale of the map, regardless of the care he took in performing the measurement.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media New York

About this chapter

Cite this chapter

Russ, J.C. (1994). Measuring the Fractal Dimension of Boundary Lines. In: Fractal Surfaces. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2578-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-2578-7_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2580-0

  • Online ISBN: 978-1-4899-2578-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics