Extreme Origami and the Science of Folding

About Our Project

The most successful and complete theories in physics are usually based on a small number of simple laws or rules which when obeyed, can create incredible levels of complexity. Origami, («paper-folding») is a traditional Japanese visual art form dating back to the 1600s, with the aim of forming intricate structures from a square piece of paper. Origami too follows only four simple rules from which an entirely self-consistent and non-Euclidean geometry arises. These rules are as follows:

• Alternate angles around a vertex sum to a straight line.
• A crease pattern can be coloured using only two colours without having the same colour meeting.
• Mountain-valley counting: M — V = ±2.
• There are no self-intersections at overlaps of sheets.

Contrary to general understanding, Origami is not a redundant practice. It has in fact evolved to become an important mathematical tool despite the strict constraints on folding. Origamist Yoshizawa, and later, physicist Robert Lang have propelled the development of this subject by exploring the pre-existing mathematical principles underpinning its aesthetic value. This form of mathematics is particularly interesting because it is able to elegantly solve mathematical problems that a compass and straight edge cannot.

This fact hints at the potential of Origami, and opens up an array of possibilities in the field of science by providing an alternative way of understanding old concepts, inspiring new ideas, and allowing for meaningful innovation. An example of an application to solve a real-world problem by folding is the Miura fold created by Koryo Miura. Miura studied Origami and developed a compact folding pattern for solar panels. In a similar way, we embark on an exploration of the uses of folding with different materials and techniques.