Mathematical Paper Folding Exhibit

- Introduction
- Interview with Dr Robert Lang
- Single Cut Origami
- Curved Crease Origami
- Business Card Menger Sponge
- Links to Other Sites and Resources

Mathematical Paper Folding Exhibit

Crease pattern for a model of an origami lobster, designed by Dr Robert Lang.

To the paper folder, the square is the origin of all form. Where others see only the void – dull, blank, meaningless – the folder sees a world already overflowing with possibilities.

Peter Engel, Origami: From Angelfish to Zen

Traditional origami models, painstakingly developed by hand, have mostly been simple structures – stylistic sketches of animals and flowers, and pretty decorative boxes. Until very recently, origami was essentially a closed universe consisting of just a few hundred tried and true designs. Students learned from masters by watching first hand, while diagrams were rare, and closely guarded secrets. In the past twenty years, however, the ancient art of paper folding has been transformed by new ideas and techniques infused from the fields of mathematics, computer science, information theory and physics. This new “technical folding,” also known as origami sekkei, vastly expands the traditional repertoire, enabling construction of immensely complex forms that could not have been achieved by the old methods. In line with the practical evolution of ever more intricate forms, these new approaches have also given rise to a new breed of “computational origami” theorists who bring to bear on the blank sheet a raft of formal techniques, analyzing the potentialities inherent in this infinitely fecund form.

The above crease pattern of the origami lobster folded from one uncut square of Korean hanji paper
by Dr Robert Lang.

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