Designing tessellations: The Secrets of Interlocking Patterns by Jinny Beyer
This is a very good book for anyone interested in designing tessellations and interlocking patterns. The author, Jinny Beyer, is a well-known quilter and designer, and she provides a wealth of information on the subject. She has been teaching and designing for over 30 years, and her expertise shines through in this book.
Unlike many other books on the subject, this one is not just a collection of patterns. Instead, it focuses on the principles of design and how to create your own unique tessellations. The author provides clear explanations and step-by-step instructions for creating wallpaper-patterns.
Even though she is not a mathematician, she has a good understanding of the mathematical principles underlying tessellations and patterns. She explains these concepts in a way that is accessible to readers without a strong math background.
I enjoyed this book a lot.
Table of Contents
Title Page Copyright Page Dedication Introduction Acknowledgements
CHAPTER 1 - What Are Tessellations?
From Simple Tessellations to Escher-Type Designs
Symmetry and Tessellations
CHAPTER 2 - An Introduction to Symmetry
Pattern
Types of Symmetry
Ways to Generate Symmetrical Patterns
CHAPTER 3 - Desining with Two-Dimensional Symmetries: The FirstEleven ...
Working with Symmetries
Multiple Patterns from a Single Cell
CHAPTER 4 - Designing with Two-Dimensional Symmetries: The Last Six Symmetry Groups
12. Traditional Block (p4m) Symmetry
13. Three Rotation (p3) Symmetry
14. Six Rotation (p6) Symmetry
15. Mirror and Three-Rotation (p3m1) Symmetry
16. Three Rotations and a Mirror (p31m) Symmetry
17. Kaleidoscope (p6m) Symmetry
Summary of Two-Dimensional Symmetry Groups
CHAPTER 5 - Designing with Linear Symmetry Groups
The Seven Linear Symmetry Groups
The Linear Symmetry Groups
CHAPTER 6 - Experimenting with Symmetry
Applying Other Symmetries to the Primary Cell
Designing Your Own Primary Cell
Symmetry Breaking
CHAPTER 7 - The Keys to Creating Interlocking Tessellations
Creating Interlocking Shapes
Combining Operations
Tessellating Borders
Endless Design Possibilities
CHAPTER 8 - Refining Tessellations: Shape and Color
Preparing Tessellations for Construction in Surface Design
Preparing Tessellations for Color and Value
Design Options for All Media
CHAPTER 9 - Creating Geometric Tessellations
Tessellations for All Surface Designers
The Miraculous Effects of Value and Contrast
CHAPTER 10 - Creating Representational Tessellations
Escher’s Vision
Escher’s Techniques
Making Representational Tessellations
Multimotif Designs
Experimenting with Multimotif Designs
CHAPTER 11 - Metamorphosis
Moving from One Geometric Shape to Another
Moving from Geometric Shapes to Representational Images
Escher’s Legacy
Appendix
Appendix A
Appendix B
Appendix C
Credits