- Hardcover: 468 pages
- Publisher: W. H. Freeman and Company; 1St Edition edition (1982)
- Language: English
- ISBN-10: 0716711869
- ISBN-13: 978-0716711865
- Product Dimensions: 8.3 x 1.4 x 9.3 inches
- Shipping Weight: 2.3 pounds (View shipping rates and policies)
- Average Customer Review: 4.4 out of 5 stars See all reviews (53 customer reviews)
- Amazon Best Sellers Rank: #91,036 in Books (See Top 100 in Books)
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The Fractal Geometry of Nature 1St Edition Edition
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Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.
The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.
“A rarity: a picture book of sophisticated contemporary research ideas in mathematics.” ―Douglas Hofstadter, author of Godel, Escher, Bach
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Top Customer Reviews
had to say about fractals this is it...if I wanted to learn fractals I would choose another book.
I coded and created the Sirpinsky thereafter and have been hooked on the topic since.
I bought this book to undestand what the discoverer of fractals thought and have not been dissapointed. I am enjoying every page of it.
Most Recent Customer Reviews
The definition of a fractal pretty much sets the tone for the book.Fractals: Hunting the Hidden Dimension (Blu-ray) [Blu-ray]
An Eye For Fractals: A Graphic And Photographic Essay (Studies in Nonlinearity)Read more