
Design Techniques for Origami Tessellations
Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual for designing them.
This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami. It then introduces 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. Consequently, it can generate base parts such as regular pentagons, which cannot be created with more conventional methods, and can produce 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.
- A web application implementing the method described in this book is available, allowing readers to design their own patterns.
Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual for designing them.
This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami. It then introduces 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. Consequently, it can generate base parts such as regular pentagons, which cannot be created with more conventional methods, and can produce 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.
- A web application implementing the method described in this book is available, allowing readers to design their own patterns.
Description
Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual for designing them.
This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami. It then introduces 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. Consequently, it can generate base parts such as regular pentagons, which cannot be created with more conventional methods, and can produce 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.
- A web application implementing the method described in this book is available, allowing readers to design their own patterns.












