Download Geometric Folding Algorithms: Linkages, Origami, Polyhedra by Erik D. Demaine,Joseph O'Rourke PDF

By Erik D. Demaine,Joseph O'Rourke

do you know that any straight-line drawing on paper will be folded in order that the whole drawing may be minimize out with one directly scissors reduce? that there's a planar linkage that could hint out any algebraic curve, or maybe 'sign your name'? Or 'Latin move' unfolding of a dice may be refolded to 23 assorted convex polyhedra? during the last decade, there was a surge of curiosity in such difficulties, with functions starting from robotics to protein folding. With an emphasis on algorithmic or computational features, this therapy supplies hundreds and hundreds of effects and over 60 unsolved 'open difficulties' to motivate additional learn. The authors disguise one-dimensional (1D) gadgets (linkages), second gadgets (paper), and 3D gadgets (polyhedra). geared toward complicated undergraduate and graduate scholars in arithmetic or machine technological know-how, this lavishly illustrated e-book will fascinate a vast viewers, from university scholars to researchers.

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