Origami Polyhedra Design

My friend John Montroll has a new book out, called Origami Polyhedra Design. It’s been in the works for quite a while and is a real tour de force. Congratulations John! This is his third book on origami polyhedra, and his first for the publisher A. K. Peters. (They publish a bunch of origami books including Robert’s ODS, and the Proceedings from the 3OSME Conference, which contains a paper by yours truly.) Unlike most origami polyhedra, which are modular, John’s are always from a single square sheet. This a challenging and rigorous style to fold in.

In a change from John’s usual style, this book is much thicker, almost 300 pages, and divided into three major sections. The first is a wealth of theory including general principles, design techniques and consideration, and methods for dividing into nths, for finding angles, folding various polygons, and other related topics. This is really good stuff. The second section of the book is devoted to a variety of models related to the Platonic Solids, including color-change and sunken variations. Totally awesome. The third section is Dipyramid models. This a particular specialty of John’s and there is a great variety of dipyramids with different proportions and number of facets, and a chapter of really cool dimpled (semi-sunken) dipyramids.

All in all the book is really quite amazing, and really takes origami polyhedra design to the next level. And while it is a real Magnum Opus, John has enough unpublished polyhedra to form the basis of anther book, so I hope this one does well and a sequel materializes.

John asked me to fold a few of the models pictured on the cover. I must say it’s very nice looking cover, with the model well arranged and photographed. John’s site is not yet updated to list the new book, and if you go to order it on Amazon there is no cover image yet. So I was taking some pictures of my models for the upcoming PCOC origami convention in San Francisco, and thought I’d share a shot of John’s book while I’m at it. (I know the lizard there doesn’t strictly fit with the theme, but it reminded me of an Escher print and I thought it looked cool.)

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