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This book explains, in simple steps and non-mathematical terminology, how to create repeat patterns in a line, on the plane, as tiles, and as Escher-like repeats. The book also shows how to make 'wallpaper repeats', where the elements of the pattern merge into each other, apparently seamlessly. Using letters as the basic elements, the book demonstrates how all repeat pattern-making comes out of four simple operations: translation, rotation, reflection, and glide reflection. It will provide the definitive one-stop pattern-making resource for professional designers and students across disciplines, from textiles and fashion to graphic design and architecture.

Introduction

What is a Repeat Pattern and What is Not?

Repetiton,Elements,Motifs and Meta-motifs

Cells and Tiles

Letterforms as Elements

Creating Your Own Elements

How to Read this Book

Zero,One and Two Dimensions Explained

The Four Basic Symmetry Operations

1.1 Rotation Symmetry

1.2 Translation Symmetry

1.3 Reflection Symmetry

1.4 Glide R Symmetry

Linear Symmetry

2.1 Translation

2.2 Translation + Vertical Reflection

2.3 Translation + 180-degree Rotation

2.4 Translation + Glide Reflection

2.5 Horizontal Reflection

2.6 Vertical Reflection + Translation + Horizontal Reflection +180-degree Rotation

2.7 Translation + Vertical Reflection +180-degree Rotation + Vertical Reflection

Planar Symmetry

3.1 Translation

3.2 Glide Reflection

3.3 Double Reflection

3.4 Reflection + Parallel Glide Reflection

3.5 180-degree Rotation

3.6 Reflection+ Perpendicular Glide Reflection

3.7 Two Perpendicular Glide Reflection

3.8 90-degree Reflection around a Point

3.9 Reflection + Rotation +Reflection + Perpendicular Reflection

3.10 Three 120-degree Rotations

3.11 Reflections in an Equilateral Triangle

3.12 Reflections of 120-degree Rotations

3.13 90-degree Rotations

3.14 Reflections of 90-degree Rotations

3.15 Reflection of a 45-45-90-degree Triangle

3.16 60-degree Rotations

3.17 Reflections on the Sides of a30-60-90-degree Triangle

Tiling

4.1 Quadrilateral Tiling

4.2 Triangular Tiling

4.3 60-120-degree Tiling

4.4 Semi-regular Tiling

4.5 Non-tessellating Tiling

4.6 Superimposition of Grid Lines

Seamless & Escheer-type Repeats

5.1 Seamless Repeats

5.2 Escher-type Repeats

Learn the Rules...Break the Rules

Symmetry Operation Reference Finder

Glossary

Acknowledgements

Paul Jackson is the author of more than 30 books on paper arts and crafts. He has taught the techniques of folding on more than 150 university-level design courses in the UK, Germany, Belgium, the US, Canada, and Israel. These include courses of Architecture, Graphic Design, Fashion Design, Textile Design, Jewellery, Product Design, Packaging, Ceramics, Industrial Design, Fine Art, Basic Design, and Interior Design.

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书籍介绍

This book explains, in simple steps and non-mathematical terminology, how to create repeat patterns in a line, on the plane, as tiles, and as Escher-like repeats. The book also shows how to make 'wallpaper repeats', where the elements of the pattern merge into each other, apparently seamlessly. Using letters as the basic elements, the book demonstrates how all repeat pattern-making comes out of four simple operations: translation, rotation, reflection, and glide reflection. It will provide the definitive one-stop pattern-making resource for professional designers and students across disciplines, from textiles and fashion to graphic design and architecture.