The Fractal Geometry of Nature

Mandelbrot, B. B. (1983). The Fractal Geometry of Nature.

Type

Journal article

Intellectual base

Primary research

Year

1983

Link

https://archive.org/details/fractalgeometryo0000mand

Cited from

biology_ecology, mathematics, physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Allometry and Scaling Law
  • The two concepts address different questions: Does the structure look the same at different scales? (scale invariance) versus How do measurable properties transform when size changes? (allometry).

    This sourceFoundational text on fractal geometry and scale invariance: develops self-similar structures whose geometry is invariant under rescaling, distinct from allometric property transformation.

• Fractal Geometry

  • This sourceW. H. Freeman. Definitive book-length statement of the fractal-geometry program; introduces 'fractal' to a broad scientific audience and establishes the cross-domain reach (math, physics, biology, geomorphology, finance).

• Scale Invariance
  • Exact self-similar fractals (Cantor set, Koch snowflake) replicate geometric structure precisely at each scale

    This sourceDefinitive book-length statement of the fractal-geometry program; introduces the term "fractal" to the broad scientific public and establishes the cross-domain reach across mathematics, physics, biology, geomorphology, and finance.

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.

Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://openlibrary.org/works/OL2018815W/The_fractal_geometry_of_nature ×1

Registry ID ref:70d9ef71de03 · see in the full table