A Study on the Boundary Conditions of 90° Paper Pop-up Structures
Name
IMST020.pdf
Size
414.43 KB
Format
Adobe PDF
Checksum (MD5)
a584180358986e84b3db9dbf6814c302
Author(s)
Tor, Shu Beng
Mak, K.W.
Lee, Y.T.
Date Issued
January 2004
Series/Report no.
Innovation in Manufacturing Systems and Technology (IMST);
Abstract
The design of a pop-up book or card has hitherto been labour intensive with tasks of trials and errors. The constructions of collapsible pop-up structures can be demanding and inefficient without adequate knowledge of their geometric properties. This paper examines the properties of creases in 90° pop-up structures. A 90° pop-up structure is one that erects fully when two adjacent base pages, on which it sits, are opened to a right angle. In particular, we define a boundary region for creating 90° pop-ups. Similarly, paper folds are able to achieve pop-up effects and can be integrated with 90° pop-up constructions. The development of these pop-up structures can be represented graphically. Through this study, a fundamental foundation for pop-up topology and geometry is built. This foundation would be vital for understanding the applications of pop-up making techniques. The mathematical relationships devised would be useful for developing computer-enhanced pop-up design.
Subjects
computer aided design
geometry
pop-up structures
paper folding
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