ORIGAMI – The japanese art of paper folding.
It creates extraordinary representation of anything by floding just a single sheet of paper in most of the cases.
For the prison break fans-that swan which Micahel Scofield folds is a piece of origami.
For the fans of mathematics, origami is challenging. A lot of concepts of mathematics are used which mainly aim at drawing the pattern designs on the original unfolded sheet.
There are 4 mathematical rules for origami crease patterns:
- crease patterns are two colorable
- at any vertex the number of valley and mountain folds always differ by two in either direction
- at any vertex, the sum of all the odd angles adds up to 180 degrees, as do the even.
- a sheet can never penetrate a fold.
Significantly, paper exhibits zero Gaussian curvature at all points on its surface, and only folds naturally along lines of zero curvature.
A very interesting lecture has been given by Robert Lang on the mathematics of Origami, its current and potential uses. Do have a look.