Publications - My Books

These are books (and one CD) I have authored or co-authored. Click on any image to see more details and links to buy. Click on a tag to the right to see other publications that include my work.

(2017) The mathematics of twists, tilings, tessellations, and other geometric folding.

The figures in this book include photographs, vector art (created in my trusty old Adobe Freehand), and computed images created in Wolfram Mathematica, using my general-purpose origami design/analysis package, Tessellatica. Linked below are notebooks that include code that creates all of the Mathematica-computed figures in the book (as well as Tessellatica packages of varying vintages). You are welcome to download them, run the code to (re)generate figures, and make modifications if you'd like to create something similar to a figure in the book.

We try our darnedest to expunge all errors in proofreading, but a few slipped through. Known errors are corrected here.

(2016) The proceedings from the 6th International Conference on Origami in Science, Mathematics, and Education. Part II covers Technology, Science, History, Art, Design, and Education.

(2016) The proceedings from the 6th International Conference on Origami in Science, Mathematics, and Education. Part 1 covers the Mathematics of origami.

(2012) (with Meher McArthur) This is the exhibition catalog for the Folding Paper: the Infinite Possibilities of Origami traveling exhibition. Contains essays on the history of origami, my own thoughts on the two cultures of origami (pace C. P. Snow), and imagery of stunning origami from artists all over the world.

(2011) (with Patsy Wang-Iverson and Mark Yim) This collection of the latest academic research in origami and its connections to mathematics, science, technology, and education grew out of the 5th International Conference on Origami in Science, Mathematics, and Education, held in Singapore in 2010. It contains all-new work by the leading academic researchers from around the world whose work touches on origami, including three papers on which I am a co-author.

(2011) This new edition of Origami Design Secrets adds several diagrams for new models, 10 crease patterns for new designs, and new chapters on advanced box-pleating techniques, hex pleating, and polygon packing methods of origami design. ODS2e has 200 pages of new material not in the first edition, but I took out the chapter on mathematical algorithms, figuring most people would not be interested in big, hairy equations. If you are, not to worry: you can download that section.

(2011) (with John Montroll) This contains the other half of the models that were in Origami Sea Life, plus a handful of not previously published designs: from John, an Octopus and Parrotfish; from me, Hideko\'s Goldfish, Banded Angelfish, and Rock Lobster.

(2010) (with John Montroll) This contains about half of the models that were in Origami Sea Life, plus a handful of not previously published designs: from John, a Perch and Swordfish; from me, Tokinobu's Goldfish, Gourami, Ray, and Siamese Fighting Fish.

(2009) This is a collection of 46 articles by various authors, edited by me, about the connections between origami, mathematics, science, and education, which grew out of the 4th International Conference on Origami in Mathematics, Science, and Education, held in 2006 at Caltech (which I organized). You'll find cutting-edge research by many researchers, including two papers on which I am a co-author.

(2003) I consider this work to be my magnum opus; more than just a collection of instructions, it teaches the underlying concepts of origami and how you can create your own original origami designs. It also contains instructions for 25 figures ranging from simple to super-complex, including the famous Black Forest Cuckoo Clock. (Note: this book is now out of print. The second edition contains most of the original, plus about 200 pages of new material.)

(2003) The world of origami insects advances rapidly! This book contains 18 new insect designs ranging from complex to super-complex. With both English and Japanese instructions.

(1997) This is a CD-ROM, one of the first ever on the topic of origami that treated origami as a full art form, containing instructions, history, articles, and an art gallery. Peter Engel and I collaborated on providing the origami content. It runs on Macintosh and Windows, but alas, the publisher has gone out of business and never updated it for most current machines. (But if you have a mid-90s Mac or Win box laying around, you could give it a try!).

(1996) This is another good beginner book, also good for teaching and classrooms; all of the figures move in one way or another. Birds flap, mouths open, catapults toss. The difficulty ranges from simple to high intermediate. The designs are by myself and others.

(1995) Origami insects have always posed a special challenge to the origami composer. This book contains 20 figures of assorted arthropods, all complex. You can consider yourself an accomplished folder if you have mastered them all.

(1992) Although this book is now out of print, you can often find it at used bookstores and websites. It is one of my favorites to recommend to beginners, containing a large proportion of simple to intermediate compositions by myself and others.

(1990) (with John Montroll) This collaboration with prolific origami artist and author John Montroll arose when John and I met at a British Origami Society convention in 1987 and discovered that we’d both discovered the unique challenges posed by many sea creatures. The difficulty ranges from beginner to complex. (Note: this is now out of print. The two books Origami Under the Sea and Sea Creatures in Origami together contain the full contents of this book, plus a few new pieces.)

(1989) (with Stephen Weiss) This collaboration with origami artist Stephen Weiss contains a variety of animal designs ranging from low intermediate to moderately complex.

(1988) This was my first book. It contains instructions for 37 figures, ranging from beginner to moderately complex, including sections on 3-dimensional figures and action models.