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Linear optimisation is a powerful modelling technique for identifying the best solution to a problem among a number of available alternatives. Today, it is one of the most important branches of mathematics and computer science, and a surprisingly rich medium for creating fascinating works of art. "Opt Art provides readers with a fascinating account of linear optimisation and its applications, while demonstrating how the field can be used to design visual art.
Robert Bosch offers an engaging and clear introduction to the geometric, algebraic, and algorithmic foundations of optimisation. He introduces classic applications, such as the legendary traveling salesman problem, and demonstrates how to adapt them to create the art of optimisation - opt art. Each chapter in this beautifully illustrated book begins with a problem or puzzle and demonstrates how it can be solved using a variety of artistic methods and media, including 3D printing, laser cutting, and computer-controlled machining. The author focuses on mathematical modelling - transforming the problem into an actionable mathematical form, solving it using optimisation techniques, and exploring the results, which can be a mosaic, line drawing, or even a sculpture. All you need is a little algebra, geometry, and calculus from your high school curriculum.