The Fractal Geometry of Nature Export

@book{citeulike:580392, abstract = {{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.<p> <I>The Fractal Geometry of Nature</I> 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.}}, author = {Mandelbrot, Benoit B.}, citeulike-article-id = {580392}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&amp;path=ASIN/0716711869}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&amp;path=ASIN/0716711869}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&amp;path=ASIN/0716711869}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0716711869}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0716711869/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0716711869}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0716711869}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0716711869}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0716711869&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0716711869}, comment = {From Taylor's \_Moment of Complexity\_: "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bak is not smooth nor does light travel in a straight line" (40d). }, day = {15}, howpublished = {Hardcover}, isbn = {0716711869}, keywords = {clouds, design, fractal, pattern}, month = {August}, posted-at = {2006-04-08 19:05:23}, priority = {2}, publisher = {{W. H. Freeman}}, title = {The Fractal Geometry of Nature}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0716711869}, year = {1982} }

TY - BOOK ID - citeulike:580392 L3 - citeulike-article-id:580392 N2 - {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.<p> <I>The Fractal Geometry of Nature</I> 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.} SN - 0716711869 TI - The Fractal Geometry of Nature PB - {W. H. Freeman} KW - clouds KW - design KW - fractal KW - pattern N1 - From Taylor's _Moment of Complexity_: "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bak is not smooth nor does light travel in a straight line" (40d). AU - Mandelbrot, Benoit PY - 1982/08/15/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&amp;path=ASIN/0716711869 ER -