Origami (The Geometry Junkyard)

 Visit this site: http://www.ics.uci.edu/~eppstein/junkyard/origami.html Author: David Eppstein, Theory Group, ICS, UC Irvine Description: An extensive annotated list of links to material on the Japanese art of paper folding, obviously geometrical in nature. Some origami masters have looked at constructing geometric figures such as regular polyhedra from paper. In the other direction, some people have begun using computers to help fold more traditional origami designs. This idea works best for tree-like structures, which can be formed by laying out the tree onto a paper square so that the vertices are well separated from each other, allowing room to fold up the remaining paper away from the tree... Related theoretical questions include how many different ways a given pattern of creases can be folded, whether folding a flat polygon from a square always decreases the perimeter, and whether it is always possible to fold a square piece of paper so that it forms (a small copy of) a given flat polygon. Levels: High School (9-12), College, Research Languages: English Resource Types: Link Listings Math Topics: Polyhedra, Triangles and Other Polygons

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