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 Objects 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. 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
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Fractals
Characteristics
Fractal dimensions
Assouad Box-counting Correlation Hausdorff Packing Topological Recursion Self-similarity
Partial view of the Mandelbrot set.
An image of a fern which exhibits affine self-similarity.
6th iteration of the Sierpinski carpet
Iterated function
system
Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Space-filling curve
Blancmange curve De Rham curve
Minkowski Dragon curve Hilbert curve Koch curve Lévy C curve Moore curve Peano curve Sierpiński curve T-square n-flake
Strange attractor
Multifractal system
L-system
Fractal canopy Space-filling curve
H tree
Escape-time
fractals
Burning Ship fractal Julia set
Filled Newton fractal Lyapunov fractal Mandelbrot set
Misiurewicz point Newton fractal Tricorn Mandelbox Mandelbulb
Rendering techniques
Buddhabrot Orbit trap Pickover stalk
Random fractals
Brownian motion
Brownian tree Brownian motor Fractal landscape Lévy flight Percolation theory Self-avoiding walk
People
Georg Cantor Felix Hausdorff Gaston Julia Helge von Koch Paul Lévy Aleksandr Lyapunov Benoit Mandelbrot Lewis Fry Richardson Wacław Sierpiński
Other
"How Long Is the Coast of Britain?"
Coastline paradox List of fractals by Hausdorff dimension The Beauty of Fractals (1986 book) Fractal art Chaos: Making a New Science (1987 book) The Fractal Geometry of Nature (1982 book) Kaleidoscope Chaos theory
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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