Pop-Up Geometry: The Mathematics Behind Pop-Up Cards

O'Rourke, Joseph

ISBN 10: 1009098403 / ISBN 13: 9781009098403

Edité par Cambridge University Press, 2022

A propos de cet article

Hardback book in nearly new condition: firm and square with strong joints. Just a few hardly noticeable rubs or very mild bumps. Hence a non-text page shows a small 'damaged' stamp. Despite such this book looks and feels unread. Thus the contents are crisp, fresh and tight. And so a very nice book in great condition, now offered for sale at a reasonable price.

N° de réf. du vendeur 203478

Détails bibliographiques

• Titre: Pop-Up Geometry: The Mathematics Behind Pop-Up Cards
• Éditeur: Cambridge University Press
• Date de parution: 2022
• Langue: anglais
• ISBN à 10 chiffres: 1009098403
• ISBN à 13 chiffres: 9781009098403
• Reliure: Hardcover
• Édition: First Edition.
• État de l'article: Like New

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Joseph O'Rourke is Olin Professor of Computer Science and Professor of Mathematics at Smith College. His research is in discrete and computational geometry, developing algorithms for geometric computations. He has won several awards, including a Guggenheim Fellowship in 1987 and the NSF Director's Award for Distinguished Teaching Scholars in 2001. He was named an ACM Fellow in 2012. He has published more than 165 papers, more than 30 of which were coauthored with undergraduates. He has taught folding and unfolding to students in grade school, middle school, high school, college and graduate school, and to teachers at all educational levels, as well as to researchers in mathematics and computer science. This is his seventh book.