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Pop-up geometrythe mathematics behind pop-up cards /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Pop-up geometryJoseph O'Rourke.
Reminder of title:	the mathematics behind pop-up cards /
Author:	O'Rourke, Joseph.
Published:	Cambridge :Cambridge University Press,2022.
Description:	xi, 129 p. :ill., digital ;23 cm.
Notes:	Title from publisher's bibliographic system (viewed on 04 Mar 2022).
Subject:	Geometry.
Online resource:	https://doi.org/10.1017/9781009093095
ISBN:	9781009093095$q(electronic bk.)

Pop-up geometrythe mathematics behind pop-up cards /
O'Rourke, Joseph.

Pop-up geometrythe mathematics behind pop-up cards /[electronic resource] :Joseph O'Rourke. - Cambridge :Cambridge University Press,2022. - xi, 129 p. :ill., digital ;23 cm.

Title from publisher's bibliographic system (viewed on 04 Mar 2022).

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.

ISBN: 9781009093095$q(electronic bk.)Subjects--Topical Terms:

183883
Geometry.

LC Class. No.: QA445 / .O76 2022

Dewey Class. No.: 516

Pop-up geometrythe mathematics behind pop-up cards /
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245 1 0 $a Pop-up geometry $h [electronic resource] : $b the mathematics behind pop-up cards / $c Joseph O'Rourke.
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300 $a xi, 129 p. : $b ill., digital ; $c 23 cm.
500 $a Title from publisher's bibliographic system (viewed on 04 Mar 2022).
520 $a 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.
650 0 $a Geometry. $3 183883
650 0 $a Three-dimensional greeting cards. $3 930501
856 4 0 $u https://doi.org/10.1017/9781009093095