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Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.

Polyhedra --- Polyèdres --- Models --- Data processing --- Modèles --- Geometrical models --- Polyhedral figures --- Polyhedrons --- Geometry, Solid --- Shapes --- Data processing. --- Models.

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This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Numerical analysis. --- Geometrical models. --- Programming (Mathematics) --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Mathematical optimization --- Geometry --- Models and modelmaking --- Models --- Distribution (Probability theory. --- Computer science. --- Geography. --- Probability Theory and Stochastic Processes. --- Mathematical Modeling and Industrial Mathematics. --- Computational Science and Engineering. --- Optimization. --- Earth Sciences, general. --- Mathematics of Computing. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Cosmography --- Earth sciences --- World history --- Informatics --- Science --- Probabilities. --- Mathematical models. --- Computer mathematics. --- Earth sciences. --- Computer science—Mathematics. --- Geosciences --- Environmental sciences --- Physical sciences --- Computer mathematics --- Electronic data processing --- Mathematics --- Models, Mathematical --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk