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By George Hart for the Museum of Mathematics


Each year I visit the annual Origami convention in New York City, and this year, as always, I was impressed by the wide range of works on display. The mathematical examples get more sophisticated each year. Here are just four examples to illustrate a range of folding styles.

origami compound of prisms Math Monday: Geometric origami

The above is the symmetric compound of six pentagonal prisms, designed and folded by Daniel Kwan.

origami tessellation Math Monday: Geometric origami

This hexagonal swirl tessellation was designed and then folded from one sheet of paper by Jon Tucker.

origami torus Math Monday: Geometric origami

This pentagonal torus is a modular design assembled from a great many small folded units. It is designed by Heinz Strobl and folded by Faye Goldman.

origami fractal Math Monday: Geometric origami

And Brian Chan designed and folded this amazingly complex fractal from a single sheet of paper. It is a model of a Romanesco broccoli, true even to the Fibonacci numbers displayed in its phyllotaxis. There are eight spirals in one direction and thirteen in the other direction. Many books and internet resources are available if you want to start making your own mathematical origami.


Gareth Branwyn

Gareth Branwyn is a freelancer writer and the former Editorial Director of Maker Media. He is the author or editor of over a dozen books on technology, DIY, and geek culture. He is currently a contributor for Boing Boing and WINK Books. And he has a new best-of writing collection and “lazy man’s memoir,” called Borg Like Me.

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