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
| Identifer | oai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/4565 |
| Date | 29 April 2013 |
| Creators | Nishat, Rahnuma Islam |
| Contributors | Whitesides, Sue H. |
| Source Sets | University of Victoria |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | Available to the World Wide Web |
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