Description
This book is both a collection of origami tessellations and a manual of design for them. In general, a tessellation is a plain work covered with geometric patterns (called a “base part”), and an origami tessellation is a geometric pattern created by folding a single sheet of paper, similar to a tessellation. The ‘design’ of an origami tessellation refers to the process of constructing a crease pattern on paper prior to folding. General crease patterns are covered by a base part consisting of crease lines connecting the points of a square or triangular lattice. The book begins by explaining such general design methods, the history of origami tessellations, and the geometric features of flat origami. The book then proposes and introduces a new design method: the “twist-based design method.” The method generates base parts that connect “twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected them. Features * No proofs or formulas in the text and minimal jargon * Suitable for readers with a roughly middle school to high school level of mathematical background * Web application implementing the method described in this book is available, allowing the readers can design their own patterns.
