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Books > Computing & IT > General theory of computing > Data structures
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Pop-Up Geometry - The Mathematics Behind Pop-Up Cards (Paperback)
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Pop-Up Geometry - The Mathematics Behind Pop-Up Cards (Paperback)
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Anyone browsing at the stationery store will see an incredible
array of pop-up cards available for any occasion. The workings of
pop-up cards and pop-up books can be remarkably intricate. Behind
such designs lies beautiful geometry involving the intersection of
circles, cones, and spheres, the movements of linkages, and other
constructions. The geometry can be modelled by algebraic equations,
whose solutions explain the dynamics. For example, several pop-up
motions rely on the intersection of three spheres, a computation
made every second for GPS location. Connecting the motions of the
card structures with the algebra and geometry reveals abstract
mathematics performing tangible calculations. Beginning with the
nephroid in the 19th-century, the mathematics of pop-up design is
now at the frontiers of rigid origami and algorithmic computational
complexity. All topics are accessible to those familiar with
high-school mathematics; no calculus required. Explanations are
supplemented by 140+ figures and 20 animations.
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