How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension

Mandelbrot, B. (1967). How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension. Science, 156(3775), 636-638.

Type

Journal article

Intellectual base

Primary research

Year

1967

DOI

10.1126/science.156.3775.636

Link

https://doi.org/10.1126/science.156.3775.636

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Primes

• Fractal Geometry
  • A coastline is fractal, as Mandelbrot (1967) originally argued in Science, from meters to perhaps hundreds of kilometers, not at molecular scales (where solid-mechanics smoothness dominates) and not at continental scales (where tectonic-plate structure dominates).
• Scale
  • … in the space of effective theories; Kolmogorov's 1941 turbulence theory identified the cascade of energy across length scales as the key to describing fully-developed turbulence; West-Brown-Enquist's 1997 allometric scaling unified metabolic-rate scaling across taxa via a branching-network model; and fractal geometry

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:73f9adac3854 · see in the full table