Pop-Up Geometry
The Mathematics Behind Pop-Up Cards
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10 510 Ft
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Estimated delivery time: Expected time of arrival: end of January 2026.
Not in stock at Prospero.
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Publisher Cambridge University Press
- Date of Publication 24 March 2022
- ISBN 9781009096263
- Binding Paperback
- No. of pages144 pages
- Size 228x152x8 mm
- Weight 240 g
- Language English 239
Categories
Short description:
Explores the beautifully intricate dynamics of pop-up cards using high school mathematics, making tangible what is often dry and abstract.
MoreLong description:
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.
'What a delight! Finally, a book that explains the geometry behind pop-up cards in a simple and straight-forward way with loads of illustrations and web animations to help. I look forward to sharing this gem with my own students.' Thomas Hull, Western New England University
Table of Contents:
Preface; 1. Parallel Folds; 2. V-Folds and Rotary Motion; 3. The Knight's Visor; 4. Pop-up Spinner; 5. Polyhedra: Rigid Origami and Flattening; 6. Algorithms for Pop-Up Design; 7. Pop-Up Design is Hard; 8. Solutions to Exercises.
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