Opt Art : From Mathematical Optimization to Visual Design / Robert Bosch.

Format:

Book

Author/Creator:

Bosch, Robert, Author.

Language:

English

Subjects (All):

Linear models (Statistics).

Genre:

Illustrated works.

Physical Description:

1 online resource (201 pages)

Place of Publication:

Princeton, NJ : Princeton University Press, [2019]

Language Note:

In English.

Biography/History:

Robert Bosch is professor of mathematics at Oberlin College and an award-winning writer and artist. His sculpture Embrace was awarded first prize at the 2010 Mathematical Art Exhibition in San Francisco.

Summary:

A fun and stunningly illustrated introduction to the art of linear optimizationLinear optimization is a powerful modeling method for discovering the best solution to a problem among a set of available alternatives. It is one of today's most important branches of mathematics and computer science-and also a surprisingly rich medium for creating breathtaking works of art. Opt Art takes readers on an entertaining tour of linear optimization and its applications, showing along the way how it can be used to design visual art.Robert Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art-opt art. Each chapter in this marvelously illustrated book begins with a problem or puzzle and demonstrates how the solution can be derived using a host of artistic methods and media, including 3D printing, laser cutting, and computer-controlled machining. Bosch focuses on mathematical modeling throughout-converting a problem into a workable mathematical form, solving it using optimization techniques, and examining the results, which can take the form of mosaics, line drawings, and even sculpture. All you need is some high-school algebra, geometry, and calculus to follow along.Featuring more than a hundred illustrations and photos of Bosch's own art, Opt Art demonstrates how mathematics and computing can be used to create beauty and express emotion through amazing works of art.

Contents:

Frontmatter

CONTENTS

PREFACE

CHAPTER 1. Optimization and the Visual Arts?

CHAPTER 2. Truchet Tiles

CHAPTER 3. Linear Optimization and the LEGO Problem

CHAPTER 4. The Linear Assignment Problem and Cartoon Mosaics

CHAPTER 5. Domino Mosaics

CHAPTER 6. From the TSP to Continuous Line Drawings

CHAPTER 7. TSP Art with Side Constraints

CHAPTER 8. Knight's Tours

CHAPTER 9. Labyrinth Design with Tiling and Pattern Matching

CHAPTER 10. Mosaics with Side Constraints

CHAPTER 11. Game-of-Life Mosaics

AFTERWORD: Beauty and Utility

BIBLIOGRAPHY

INDEX

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

9780691197036

0691197032

OCLC:

1111457261