(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.
(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.
(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.