Star Origami The Starrygami™ Galaxy of Modular Origami Stars, Rings and Wreaths

"Star Origami is a festival of folding fun that is sure to inspire. Tung Ken's stellar designs are rich with invention, and as always, his works are beautifully illustrated and written by him. Those eager for the math behind the designs will not be disappointed."— Michael LaFosse (Origamido® Studio), author of over 50 origami books including Geometric Origami: The Art of Modular Paper Sculpture "Tung Ken Lam is one of the world’s leading exponents of modular origami design. His books never disappoint."— David Mitchell, author of Mathematical Origami and founder of origamiheaven.com "Perfect for teachers to guide students to explore the relationships between the properties of rectangles and the folded stars. The curious and motivated student will find hours of mathematical buried treasure through folding."– Charlene Morrow, Director, SummerMath, Mount Holyoke College and Past Board Chair, OrigamiUSA "Star Origami provides a treasure trove of relevant math foundations, and suggestive pathways for the creative journey. It has already stimulated new directions for my own star structures."— Arnold Tubis, author of Unfolding Mathematics with Origami Boxes and Tessellation Inspired Origami Box Designs Star Origami: The Starrygami™ Galaxy of Modular Origami Stars, Rings and Wreaths is an exciting collection of origami rings, stars and wreaths made using the modular technique, including clear instructions for making them. Features Over sixty paper stars, all made without cutting, gluing or decorating using the modular origami technique Hundreds of clear step-by-step instructions show you how, based on the technique of folding a small number of simple units and joining them together as a satisfying puzzle Secret tips to make new shapes just by varying a few lengths and angles Suitable for teaching and learning art, geometry and mathematics. Teachers will appreciate the practical advice to succeed in using origami for education.

1 Introduction. 1.1. Stars. 1.2. Origami stars and how this book is organised. 1.3. How to use this book. 1.4. The models. 1.5. Difficulty. 2. Stars. 2.1. Regular polygons. 2.2. Overlapping regular polygons. 2.3. Stellating a regular polygon. 2.4. Joining the diagonals of a regular polygon to make a star polygon. 2.5. Moving midpoints of the edges towards or away from the centre. 2.6. Rosette. 2.7. Kaleidoscope mirrors. 2.8. Taking a shape and rotating it around a centre of rotation. 3. Special Rectangles. 3.1. The square. 3.2. The silver rectangle. 3.3. The leftover rectangle. 3.4. The bronze rectangle. 3.5. The double bronze or half bronze rectangle. 3.6. The golden rectangle. 3.7. The double square or half square. 3.8. The 1:3 rectangle. 3.9. The 4:5 rectangle. 3.10. Landscape-portrait (LP) rectangles. 3.11. Other rectangles. 4. Folding and Generalising Stars. 4.1. Variation and creation. 4.2. Varying and generalising a flat star. 4.3. Varying and generalising a single model. 4.4. Summary. 5. Tips on Paper and Folding. 5.1. Paper. 5.2. Paper colour and patterns. 5.3. Paper size. 5.4. Preparing paper. 5.5. Folding the modules. 5.6. Assembling the modules. 5.7. Following the instructions. 6. Symbols and Procedures. 7. Ring Stars. 7.1. Star 4, Square from Silver Rectangle* *7.2. Star 6, Square from Silver Rectangle * * 7.3. Star 7, Square from Silver Rectangle* * 7.4. Star 5, 3 by 4 from Square ** ** 7.5. Star 5, 5 by 6 from Square Blintz ** **. 7.6. Poly Diag Star 6 ** **. 7.7. Poly Diag Star 5 ** ** 7.8. Poly Diag Star 8 ** ** 7.9. Boat Unit 5 Pentagram ** ** 7.10. Boat Unit 6 Hexagram ** ** 7.11. Boat Unit 7 Heptagram ** ** 8. Wreaths. 8.1. Swirl 10, Square from Silver Rectangle* * 8.2. Octagram Wreath * * 8.3. Octagram Paper Cup - Kite Wheel ** ** 8.4. Kite Wheel 10 *** ** 8.5. Decagon Ring * * 8.6. Handshake Wreath 8 * * 8.7. Hook and Roll Wreath 8 ** ** 8.8. Star 8 Octad * * 8.9. Starburst 8 Octad * * 8.10. Starburst 8 60? ** 8.11. Starburst 6 * * 9. Stars. 9.1. Star 3, Square from Silver Rectangle * * 9.2. Silver Star 7 ** ** 9.3. Star 6 * * 9.4. Pentagram ** *** 9.5. Star 6, Bronze Rectangle from Square ** * 9.6. Handshake Star 6 * * 9.7. Star 4, Kite from Silver Rectangle * * 9.8. Star 5 From Half Silver Rectangle * * 9.9. Star 4 Leftover Wrap * * 9.10. Star 6 Bronze Wrap * * 9.11. Star 8 Leftover Wrap 45? * ** 9.12. Star 8 Leftover Wrap 22.5? ** ** 9.13. Medallion Star ** *** 9.14. Star 6 Fancy Wrap *** *** 9.15. Star 6, Equilateral Triangle from Rectangle * * 9.16. Star 6 Bronze Triangle Wheel ** ** 9.17. Intersecting Squares ** ** 9.18. Quilt Star ** ** 9.19. Three Four Dodecagon Squares ** ** 10. Sliders. 10.1. Star 4 Slider, Square Silver from Rectangle * * 10.2. Square Pointer Slider ** ** 10.3. Pinwheel Square Slider ** ** 10.4. Pinwheel Square 3D Slider *** ** 10.5. Octagram Slider * * 10.6. Floppy Slider 8 * * 10.7. Floppy Slider 6 * * 10.8. Slider N 8 ** ** 10.9. Slider N 6 ** ** 10.10. Slider N 5 ** ** 11. 3D Stars. 11.1. Starfish * * 11.2. XYZ Rhombic * * 11.3. Star Ball ** *** 11.4. WXYZ *** *** 11.5. Blintz Icosidodecahedron ** **** 12. Notes for Teachers 12.1. Common folding problems and how to avoid them. 12.2. General tasks. 12.3. Specific mathematical topics. 13. Further Reading. 13.1. Origami. 13.2. Mathematics and Geometry. 13.3. Origami and Mathematics. 13.4. Origami and Mathematics Education. Bibliography. Index.

Tung Ken Lam is an origami creator, author, and qualified mathematics teacher. His best-known works are WXYZ (p. 108) and Jitterbug. He is the author of Action Modular Origami to Intrigue and Delight (Tarquin, 2018), and coauthor of Learning Mathematics with Origami (Association of Teachers of Mathematics, 2016). He has taught and presented his origami work in France, Italy, Sweden, Japan, and USA. He has run many events for teachers, learners, and the general public. He accepts commissions for origami projects and creating bespoke origami to order. Clients have included Bletchley Park Trust, The Bodleian Library, University of Oxford, EuroStemCell (formerly the Scottish Centre for Regenerative Medicine) and Honda UK.