Design Techniques for Origami Tessellations

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the 'twist-based design method.' This 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 to 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 to design their own patterns.