Opt art from mathematical optimization to visual design

"Linear 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...

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Bibliographic Details
Main Author: Bosch, Robert (Professor of Mathematics, Oberlin College)
Format: eBook
Language:English
Published: Princeton ; Oxford Princeton University Press, [2019]
Subjects:
Online Access:EBSCOhost
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049 |a MAIN 
100 1 |a Bosch, Robert  |c (Professor of Mathematics, Oberlin College),  |9 909099 
245 1 0 |a Opt art  |b from mathematical optimization to visual design  |c Robert Bosch. 
264 1 |a Princeton ;  |a Oxford  |b Princeton University Press,  |c [2019] 
300 |a 1 online resource (x, 188 pages) 
504 |a Includes bibliographical references (pages 183-184) and index. 
505 0 0 |t Optimization and the visual arts? --  |t Truchet tiles --  |t Linear optimization and the LEGO problem --  |t The linear assignment problem and cartoon mosaics --  |t Domino mosaics --  |t From the TSP to continuous line drawings --  |t TSP art with side constraints --  |t Knight's tours --  |t Labyrinth design with tiling and pattern matching --  |t Mosaics with side constraints --  |t Game-of-life mosaics --  |t Afterword: beauty and utility. 
520 |a "Linear 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."--  |c Provided by publisher. 
545 0 |a 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. 
546 |a In English. 
588 |a Description based on print version record and CIP data provided by publisher; resource not viewed. 
653 0 |a Mathematics in art. 
653 0 |a Art  |x Mathematics. 
653 0 |a Mathematical optimization. 
653 0 |a Linear programming. 
653 0 |a Computer art. 
653 7 |a Linear programming.  |2 fast  |0 (OCoLC)fst00999090 
653 7 |a Art  |x Mathematics.  |2 fast  |0 (OCoLC)fst00815297 
653 7 |a Computer art.  |2 fast  |0 (OCoLC)fst00872033 
653 7 |a Mathematical optimization.  |2 fast  |0 (OCoLC)fst01012099 
653 7 |a Mathematics in art.  |2 fast  |0 (OCoLC)fst01012330 
653 7 |a Gebrauchsgrafik.  |2 gnd 
653 7 |a Visualisierung.  |2 gnd 
653 7 |a Kunst.  |2 gnd 
653 7 |a Lineare Optimierung.  |2 gnd 
653 7 |a Mathematik.  |2 gnd 
653 7 |a MATHEMATICS  |x Optimization.  |2 bisacsh 
653 1 5 |a Western, International (Western Style)  |a Electronic Media/Computer Art 
655 0 |a EBSCO eBooks  |9 905790 
655 7 |a Illustrated works.  |2 fast  |0 (OCoLC)fst01423873  |9 909100 
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655 0 |a Electronic books.  |9 899821 
856 4 0 |3 EBSCOhost  |u https://www.lib.tsu.ru/limit/2023/EBSCO/2137179.pdf 
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