New Approaches to Circle Packing in a Square
With Program Codes
Series: Springer Optimization and Its Applications; 6;
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44 374 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 2007
- Publisher Springer US
- Date of Publication 2 March 2007
- Number of Volumes 1 pieces, Book w. online files / update
- ISBN 9780387456737
- Binding Hardback
- No. of pages238 pages
- Size 235x155 mm
- Weight 1190 g
- Language English
- Illustrations XIV, 238 p. With online files/update. Tables, black & white 0
Categories
Long description:
In one sense, the problem of finding the densest packing of congruent circles in a square is easy to understand. But on closer inspection, this problem reveals itself to be an interesting challenge of discrete and computational geometry with all its surprising structural forms and regularities. This book summarizes results achieved in solving the circle packing problem over the past few years, providing the reader with a comprehensive view of both theoretical and computational achievements. Typically illustrations of problem solutions are shown, elegantly displaying the results obtained.
Beyond the theoretically challenging character of the problem, the solution methods developed in the book also have many practical applications.
Since the codes can be worked with directly, they will enable the reader to improve on them and solve problem instances that still remain challenging, or to use them as a starting point for solving related application problems.
This book summarizes results achieved in solving the circle packing problem over the past few years, providing the reader with a comprehensive view of both theoretical and computational achievements. Typical illustrations of problem solutions are shown, elegantly displaying the results obtained. Beyond the theoretically challenging character of the problem, the solution methods developed in the book also have many practical applications. Since the codes can be worked with directly, they will enable the reader to improve on them and solve problem instances that still remain challenging.
MoreTable of Contents:
and Problem History.- Problem Definitions and Formulations.- Bounds for the Optimum Values.- Approximate Circle Packings Using Optimization Methods.- Other Methods for Finding Approximate Circle Packings.- Interval Methods for Validating Optimal Solutions.- The First Fully Interval-based Optimization Method.- The Improved Version of the Interval Optimization Method.- Interval Methods for Verifying Structural Optimality.- Repeated Patterns in Circle Packings.- Minimal Polynomials of Point Arrangements.- About the Codes Used.
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