# Fractal Geometry of Nature

@inproceedings{Mandelbrot1984FractalGO, title={Fractal Geometry of Nature}, author={Benoit B. Mandelbrot}, year={1984} }

"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." Nature

## 25,558 Citations

### The Postmodern Beauty of Fractals

- ArtLeonardo
- 2012

ABSTRACT Fractal art, one of the significant conjunctions of art, modern mathematics and computer technology, has been the author's primary art medium for the past five years. After presenting an…

### Fractal geometry in the nucleus

- PhysicsThe EMBO journal
- 2010

Two recent studies in Science and The EMBO Journal have suggested that chromatin and the nucleoplasmic space surrounding it should be added to the fractal list.

### Fractals and image representation

- Art
- 1993

The authors briefly describe the theoretical background of fractal representations and investigate in more detail the validity of such an approach for applications in natural scene portrayal and coding.

### A Fractal Comparison of Escher and Koch Tessellations

- Art
- 2012

M.C. Eschers tessellations have captured the imaginations of both artists and mathematicians. Circle Limit III is the most intricate of his tessellations, featuring patterns that repeat at…

### The notion of dimension in geometry and algebra

- Physics
- 2005

This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative…

### The Influence of Benoît B. Mandelbrot on mathematics

- Mathematics
- 2012

Introduction We begin this article, which deals largely with Benoît B. Mandelbrot’s contributions to and influence upon mathematics, with a quotation from the introduction to Fractals: Form, Chance,…

### “Fractal Architecture”: Late Twentieth Century Connections Between Architecture and Fractal Geometry

- Art
- 2001

Abstract.Michael Ostwald examines the intricate, constantly shifting relationship between architecture and fractal geometry. At times this dependence is diffuse, and modes of theoretical transference…

### The Nature of Fractal Geometry

- Art
- 2010

Fractals are more than just stunning visual effects – they open up new ways to model nature and allow us to quantify terms like ‘irregular’, ‘rough’ and ‘complicated’, writes mathematician Ian…

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