A Study on the Boundary Conditions of 90° Paper Pop-up Structures
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° p...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
| Published: |
2003
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/3921 |
| _version_ | 1826197827652419584 |
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| author | Tor, Shu Beng Mak, K.W. Lee, Y.T. |
| author_facet | Tor, Shu Beng Mak, K.W. Lee, Y.T. |
| author_sort | Tor, Shu Beng |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:53:46Z |
| format | Article |
| id | mit-1721.1/3921 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:53:46Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | mit-1721.1/39212019-04-13T00:09:23Z A Study on the Boundary Conditions of 90° Paper Pop-up Structures Tor, Shu Beng Mak, K.W. Lee, Y.T. computer aided design geometry pop-up structures paper folding 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. Singapore-MIT Alliance (SMA) 2003-12-15T12:00:00Z 2003-12-15T12:00:00Z 2004-01 Article http://hdl.handle.net/1721.1/3921 en_US Innovation in Manufacturing Systems and Technology (IMST); 424372 bytes application/pdf application/pdf |
| spellingShingle | computer aided design geometry pop-up structures paper folding Tor, Shu Beng Mak, K.W. Lee, Y.T. A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title | A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title_full | A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title_fullStr | A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title_full_unstemmed | A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title_short | A Study on the Boundary Conditions of 90° Paper Pop-up Structures |
| title_sort | study on the boundary conditions of 90° paper pop up structures |
| topic | computer aided design geometry pop-up structures paper folding |
| url | http://hdl.handle.net/1721.1/3921 |
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