Paperback: 330 pages
Publisher: Copernicus; Softcover reprint of the original 1st ed. 1996 edition (July 18, 1996)
Language: English
ISBN-10: 1461275326
ISBN-13: 978-1461275329
Product Dimensions: 7.4 x 0.8 x 9 inches
Shipping Weight: 1.4 pounds (View shipping rates and policies)
Average Customer Review: 4.5 out of 5 stars See all reviews (2 customer reviews)
Best Sellers Rank: #728,245 in Books (See Top 100 in Books) #202 in Books > Science & Math > Physics > System Theory #304 in Books > Textbooks > Humanities > Philosophy > Metaphysics #406 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry
If any artists are exploring reference material on shape, form anddesign in nature, this book explains why nature does 'create' it'sunique self. It does tend to explain and breakdown natural shapes into mathematical equations and theorims. Still the photos they provide and the line drawings help you to understand why things are the way they are. Useful if you want to create hybrids of these forms. A intelligent imagination is useful. My applications for this are from a 3D fine arts point of view. The info in the book has provided me with inspiration in my 3D artwork. Sincerely Andre Ribuoli dreko@aol.com
Soap bubbles, hanging cables, tent-like structures in modern architecture, animal forms and more. All these share a common principle which involves minimizing something-usually an energy principle. This book explores the mathematics behind these.Soap bubbles are spherical, of course. But ask yourself why. And consider what other shapes are possible if the bubbles are restricted in some way -for example, if one side touches a plane. In the book, we see beautiful photograpphs of soap bubbles along with discussion of mathematical attempts (some still unsuccessful) to describe these shapes.As the first reviewer mentioned, artists can benefit from the ideas and structures in the book. Mathematically minded persons will also find the book very interesting. I have some minor criticisms: The intro chapters on history were too long and covered basic ideas that are well known to almost anyone reading this book. Also, a key principle involves the calculus of variations. More could be done to make clear what this means. Yet, overall, the authors are successful in going from experiments with soap bubbles to mathematical theory to aesthetic values and back and forth.The chapter near the end on optimal design is excellent. I highly recommend this book.
The Parsimonious Universe: Shape and Form in the Natural World Drawing Animals Shape by Shape: Create Cartoon Animals with Circles, Squares, Rectangles & Triangles (Drawing Shape by Shape series) Drawing Shape by Shape: Create Cartoon Characters with Circles, Squares & Triangles (Drawing Shape by Shape series) Natural Gas Trading: From Natural Gas Stocks to Natural Gas Futures- Your Complete, Step-by-Step Guide to Natural Gas Trading The Inner Lives of Markets: How People Shape ThemAnd They Shape Us Shape by Shape, Collection 2: Free-Motion Quilting with Angela Walters • 70+ More Designs for Blocks, Backgrounds & Borders Shape by Shape Free-Motion Quilting with Angela Walters: 70+ Designs for Blocks, Backgrounds & Borders Roget's 21st Century Thesaurus: Updated and Expanded 3rd Edition, in Dictionary Form (Roget's Twentieth-First Century Thesaurus in Dictionary Form) How to Form a Nonprofit Corporation (National Edition): A Step-by-Step Guide to Forming a 501(c)(3) Nonprofit in Any State (How to Form Your Own Nonprofit Corporation) Just Six Numbers: The Deep Forces That Shape The Universe What in the Universe? (Steven Universe) Mammals Who Morph: The Universe Tells Our Evolution Story: Book 3 (The Universe Series) From Lava to Life: The Universe Tells Our Earth Story: Book 2 (The Universe Series) First Meetings: In Ender's Universe (Other Tales from the Ender Universe) The Splendor of the Saints: Why They Dazzle the World and Shape History The Press Effect: Politicians, Journalists, and the Stories that Shape the Political World Dream Cities: Seven Urban Ideas That Shape the World Stuff Matters: Exploring the Marvelous Materials That Shape Our Man-Made World Congratulations ... You're Gifted!: Discovering Your God-Given Shape to Make a Difference in the World (invert) The Einkorn Cookbook: Discover the World's Purest and Most Ancient Form of Wheat: Delicious Flavor - Nutrient-Rich - Easy to Digest - Non-Hybridized