The Fractal Geometry of Nature
The Fractal Geometry of Nature is a 1982 book by the Franco-American mathematician Benoît Mandelbrot.[1][2]
Overview
The Fractal Geometry of Nature is a revised and enlarged version of his 1977 book entitled Fractals: Form, Chance and Dimension, which in turn was a revised, enlarged, and translated version of his 1975 French book, Les Objets Fractals: Forme, Hasard et Dimension. American Scientist put the book in its one hundred books of 20th century science.[3]
As technology has improved, mathematically accurate, computer-drawn fractals have become more detailed. Early drawings were low-resolution black and white; later drawings were higher resolution and in color. Many examples were created by programmers working with Mandelbrot, primarily at IBM Research. These visualizations have added to persuasiveness of the books and their impact on the scientific community.[citation needed]
See also
- Chaos theory
References
- ^ "THE FRACTAL GEOMETRY OF NATURE". us.macmillan.com. Archived from the original on 2018-10-13. Retrieved 12 October 2018.
- ^ "The Fractal Geometry of Nature by Benoît B. Mandelbrot". Goodreads. goodreads.com. Retrieved 25 October 2016.
- ^ "100 or so Books that shaped a Century of Science » American Scientist". American Scientist. Archived from the original on 28 December 2008.
- v
- t
- e
- Fractal dimensions
- Assouad
- Box-counting
- Higuchi
- Correlation
- Hausdorff
- Packing
- Topological
- Recursion
- Self-similarity
system
- Barnsley fern
- Cantor set
- Koch snowflake
- Menger sponge
- Sierpinski carpet
- Sierpinski triangle
- Apollonian gasket
- Fibonacci word
- Space-filling curve
- String
- T-square
- n-flake
- Vicsek fractal
- Hexaflake
- Gosper curve
- Pythagoras tree
- Weierstrass function
fractals
- "How Long Is the Coast of Britain?"
- Fractal art
- List of fractals by Hausdorff dimension
- The Fractal Geometry of Nature (1982 book)
- The Beauty of Fractals (1986 book)
- Chaos: Making a New Science (1987 book)
- Kaleidoscope
- Chaos theory