ABSTRACT

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

chapter 1|77 pages

Vertices

chapter 2|114 pages

Periodicity

chapter 3|78 pages

Simple Twists

chapter 4|73 pages

Twist Tiles

chapter 5|59 pages

Tilings

chapter 6|69 pages

Primal-Dual Tessellations

chapter 7|60 pages

Rigid Foldability

chapter 8|70 pages

Spherical Vertices

chapter 9|44 pages

3D Analysis

chapter 10|55 pages

Rotational Solids

chapter |2 pages

Afterword