Pop-Up Geometry: The Mathematics Behind Pop-Up Cards O'Rourke Joseph
Pop-Up Geometry: The Mathematics Behind Pop-Up Cards O'Rourke Joseph Anyone browsing at the stationery store will see an incredible array of pop-up cards available for any occasion. Behind such…
Specifikacia Pop-Up Geometry: The Mathematics Behind Pop-Up Cards O'Rourke Joseph
Pop-Up Geometry: The Mathematics Behind Pop-Up Cards O'Rourke Joseph
Anyone browsing at the stationery store will see an incredible array of pop-up cards available for any occasion. Behind such designs lies beautiful geometry involving the intersection of circles, cones, and spheres, the movements of linkages, and other constructions. The workings of pop-up cards and pop-up books can be remarkably intricate.
For example, several pop-up motions rely on the intersection of three spheres, a computation made every second for GPS location. The geometry can be modelled by algebraic equations, whose solutions explain the dynamics. 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
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