Bosch, Robert (Professor of Mathematics, Oberlin College),
Opt art : from mathematical optimization to visual design / Robert Bosch. - 1 online resource (x, 188 pages)
Includes bibliographical references (pages 183-184) and index.
Optimization and the visual arts? -- Truchet tiles -- Linear optimization and the LEGO problem -- The linear assignment problem and cartoon mosaics -- Domino mosaics -- From the TSP to continuous line drawings -- TSP art with side constraints -- Knight's tours -- Labyrinth design with tiling and pattern matching -- Mosaics with side constraints -- Game-of-life mosaics -- Afterword: beauty and utility.
"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."--
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.
In English.
9780691197036 0691197032
22573/ctvh6xz0d JSTOR 9453446 IEEE
2021693969
Mathematics in art.
Art--Mathematics.
Mathematical optimization.
Linear programming.
Computer art.
Programming, Linear
Math�ematiques dans l'art.
Art--Math�ematiques.
Optimisation math�ematique.
Programmation lin�eaire.
MATHEMATICS--Optimization.
Linear programming.
Art--Mathematics.
Computer art.
Mathematical optimization.
Mathematics in art.
Gebrauchsgrafik
Visualisierung
Kunst
Lineare Optimierung
Mathematik
Western, International (Western Style) Electronic Media/Computer Art
Electronic books.
illustrated books.
Illustrated works.
Illustrated works.
Ouvrages illustr�es.
NX650.M34
519.7/2 700/.411
Opt art : from mathematical optimization to visual design / Robert Bosch. - 1 online resource (x, 188 pages)
Includes bibliographical references (pages 183-184) and index.
Optimization and the visual arts? -- Truchet tiles -- Linear optimization and the LEGO problem -- The linear assignment problem and cartoon mosaics -- Domino mosaics -- From the TSP to continuous line drawings -- TSP art with side constraints -- Knight's tours -- Labyrinth design with tiling and pattern matching -- Mosaics with side constraints -- Game-of-life mosaics -- Afterword: beauty and utility.
"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."--
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.
In English.
9780691197036 0691197032
22573/ctvh6xz0d JSTOR 9453446 IEEE
2021693969
Mathematics in art.
Art--Mathematics.
Mathematical optimization.
Linear programming.
Computer art.
Programming, Linear
Math�ematiques dans l'art.
Art--Math�ematiques.
Optimisation math�ematique.
Programmation lin�eaire.
MATHEMATICS--Optimization.
Linear programming.
Art--Mathematics.
Computer art.
Mathematical optimization.
Mathematics in art.
Gebrauchsgrafik
Visualisierung
Kunst
Lineare Optimierung
Mathematik
Western, International (Western Style) Electronic Media/Computer Art
Electronic books.
illustrated books.
Illustrated works.
Illustrated works.
Ouvrages illustr�es.
NX650.M34
519.7/2 700/.411