Document Type
Article
Publication Date
1-1-2003
Publication Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Abstract
The structure of the set of all convex polyhedra foldable from a square is detailed. It is proved that five combinatorially distinct nondegenerate polyhedra, and four different flat polyhedra, are realizable. All the polyhedra are continuously deformable into each other, with the space of polyhedra having the topology of four connected rings.
Volume
2866
First Page
38
Last Page
50
DOI
10.1007/978-3-540-44400-8_5
ISSN
03029743
Rights
© the authors
Recommended Citation
Alexander, Rebecca; Dyson, Heather; and O'Rourke, Joseph, "The Foldings of a Square to Convex Polyhedra" (2003). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/203
Comments
Peer reviewed accepted manuscript.