Return to search

Map Folding

A crease pattern is an embedded planar graph on a piece of paper. An m × n map
is a rectangular piece of paper with a crease pattern that partitions the paper into an
m × n regular grid of unit squares. If a map has a configuration such that all the faces
of the map are stacked on a unit square and the paper does not self-intersect, then
it is flat foldable, and the linear ordering of the faces is called a valid linear ordering.
Otherwise, the map is unfoldable. In this thesis, we show that, given a linear ordering
of the faces of an m × n map, we can decide in linear time whether it is a valid linear
ordering or not. We also define a class of unfoldable 2 × n crease patterns for every
n ≥ 5. / Graduate / 0984

Identiferoai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/4565
Date29 April 2013
CreatorsNishat, Rahnuma Islam
ContributorsWhitesides, Sue H.
Source SetsUniversity of Victoria
LanguageEnglish, English
Detected LanguageEnglish
TypeThesis
RightsAvailable to the World Wide Web

Page generated in 0.0021 seconds