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Pop-up geometry = the mathematics behind pop-up cards /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Pop-up geometry/ Joseph O'Rourke.
其他題名:	the mathematics behind pop-up cards /
作者:	O'Rourke, Joseph.
出版者:	Cambridge :Cambridge University Press, : 2022.,
面頁冊數:	xi, 129 p. :ill., digital ; : 23 cm.;
附註:	Title from publisher's bibliographic system (viewed on 04 Mar 2022).
標題:	Geometry. -
電子資源:	https://doi.org/10.1017/9781009093095
ISBN:	9781009093095

Pop-up geometry = the 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: 9781009093095Subjects--Topical Terms:

579899
Geometry.

LC Class. No.: QA445 / .O76 2022

Dewey Class. No.: 516

Pop-up geometry = the mathematics behind pop-up cards /
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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.
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