Paper Info
Title
A geometric study of v-style pop-ups: theories and algorithms
Abstract
Pop-up books are a fascinating form of paper art with intriguing geometric properties. In this paper, we present a systematic study of a simple but common class of pop-ups consisting of patches falling into four parallel groups, which we call v-style pop-ups. We give sufficient conditions for a v-style paper structure to be pop-uppable. That is, it can be closed flat while maintaining the rigidity of the patches, the closing and opening do not need extra force besides holding two patches and are free of intersections, and the closed paper is contained within the page border. These conditions allow us to identify novel mechanisms for making pop-ups. Based on the theory and mechanisms, we developed an interactive tool for designing v-style pop-ups and an automated construction algorithm from a given geometry, both of which guaranteeing the pop-uppability of the results.
Year
DOI
Venue
2011
10.1145/1964921.1964993
ACM Trans. Graph.
Keywords
Field
DocType
extra force,common class,pop-up book,geometric study,v-style pop-ups,fascinating form,v-style paper structure,paper art,automated construction algorithm,closed paper,interactive tool,geometric modeling,languages,computer art,geometric model
Rigidity (psychology),Mathematical optimization,Computer graphics (images),Computer science,Computer art,Geometric modeling,Algorithm
Journal
Volume
Issue
ISSN
30
4
0730-0301
Citations 
PageRank 
References 
18
0.95
7
Authors
4
Name
Order
Citations
PageRank
Xian-Ying Li11436.09
Tao Ju2134864.13
Yan Gu35710.46
Shi-Min Hu43466188.22