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Folding and Cutting Paper (1998)
| Content Provider | CiteSeerX |
|---|---|
| Author | Demaine, Erik D. Demaine, Martin L. Lubiw, Anna |
| Description | . We present an algorithm to find a flat folding of a piece of paper, so that one complete straight cut on the folding creates any desired plane graph of cuts. The folds are based on the straight skeleton, which lines up the desired edges by folding along various bisectors; and a collection of perpendiculars that make the crease pattern foldable. We prove that the crease pattern is flat foldable by demonstrating a family of folded states with the desired properties. 1 Introduction Take a sheet of paper, fold it into some flat origami, and make one complete straight cut. What shapes can the unfolded pieces make? For example, Figure 1 shows how to cut out a five-pointed star in this way. You could imagine cutting out the silhouette of your favorite animal, object, or geometric shape. The first published reference to this fold-and-cut idea that we are aware of is a Japanese book [22] by Kan Chu Sen from 1721. This book contains a variety of problems for testing mathematical intelligence ... |
| File Format | |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 1998-01-01 |
| Publisher Institution | Revised Papers from the Japan Conference on Discrete and Computational Geometry, volume 1763 of Lecture Notes in Computer Science |
| Access Restriction | Open |
| Subject Keyword | Japanese Book Flat Origami Straight Skeleton Fold-and-cut Idea Geometric Shape Mathematical Intelligence Various Bisectors Folded State Desired Property Flat Folding Cutting Paper Unfolded Piece Favorite Animal Five-pointed Star Desired Plane Graph Crease Pattern Kan Chu Sen |
| Content Type | Text |
| Resource Type | Article |
