The art & science of geometric origami Create spectacular paper polyhedra, waves, spirals, fractals and more!

Jun Maekawa, 1958-

Book - 2022

A magnificent new collection of 60 sculptural paper models from a mathematical origami master! Master origami folder and author Jun Maekawa is known for developing innovative new methods of folding origami based on fundamental mathematical principles. In The Art & Science of Geometric Origami, he shows you how to fold over 60 different geometric shapes through clear, easy-to-follow instructions and photos. The unique origami designs in this book include: - New takes on traditional geometric models including the Tetrahedron and Octahedron - Unusual forms like the Tetrapod Wave Breaker, Hyperbolic Illusion Cube -- and a Torii Gate - Quirky pieces like the Double Spiral Tessellation, Branching Tree and Fractal Wave - Biological models such... as a Lizard, Tethered Cranes and a realistic Human Figure Folding instructions for each model are prefaced with an extensive introduction to the geometric principles underlying the piece. The models include nontraditional designs folded from unusual papers, including dozens of clever boxes and modular models which are assembled like 3D puzzles!

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Subjects
Published
North Clarendon, VT : Tuttle Publishing [2022]
Language
English
Japanese
Main Author
Jun Maekawa, 1958- (author)
Other Authors
Andrew Dewar (translator)
Item Description
"More than 60 models!" -- Cover.
Physical Description
128 pages : illustrations (some colour) ; 28 cm
Bibliography
Includes bibliographical references and index.
ISBN
9784805316856
  • Introduction
  • Terms and Symbols Used in This Book
  • Chapter 1. Folding from a Pattern
  • 1-0. About Expanded Views and Patterns
  • 1-1. Wrapping Paper Container
  • 1-2. Cubohemioctahedron
  • 1-3. Small Dodecahemidodecahedron
  • 1-4. Truncated Cube
  • 1-5. Yangma
  • 1-6. Half Cube
  • 1-7. Hyperbolic Paraboloid Within a Cube
  • 1-8. Snub Cube
  • 1-9. Great Dodecahedron Shell
  • 1-10. Globe
  • 1-11. Stellated Dodecahedron
  • 1-12. Approaching Waves and Multiple Waves
  • 1-13. Reptile
  • 1-14. Linked Cranes-a New Triad
  • 1-15. Hourglass Prism
  • 1-16. Regular Octahedron Box
  • 1-17. Square and Circle Tato Purse
  • 1-18. Transected Truncated Icosahedron
  • 1-19. Octahedron Within a Tetrahedron
  • 1-20. Double Hourglass Cube
  • 1-21. Cartesian Coordinates
  • 1-22. Shinmei Torii
  • 1-23. Dürer's Polyhedron
  • 1-24. Tree
  • 1-25. Tetrahedron Within a Cube
  • 1-26. Wave-dissipating Block and Paper Cup Tetrapod
  • Chapter 2. Unit Origami
  • 2-1. Fish-ahedron
  • 2-2. Bird-ahedron
  • 2-3. Albers Box
  • 2-4. Gemini
  • 2-5. Two-part Cube Box
  • 2-6. Bow-tie Cube and Four-eighths Cube
  • 2-7. Bow-tie Unit
  • 2-8. Hexapyxis
  • 2-9. Borromean Box
  • 2-10. White Egret Flower Cube
  • 2-11. Colored-pencil Checkered Cube and Cat's-eye Cube
  • 2-12. Bird, Boat and Wind Cube
  • 2-13. Four-sheet Square Prisms
  • 2-14. Excavated Dodecahedron
  • 2-15. Regular Dodecahedron
  • 2-16. Regular Octahedron with a Frame
  • 2-17. Stella Octangula
  • 2-18. Zigzag Separating Cube
  • 2-19. Thorny Cube
  • Chapter 3. Small Models
  • 3-1. Disc Case
  • 3-2. Varignon Envelope
  • 3-3. Three-quarter Octahedron
  • 3-4. Maximum Cross-section Cube
  • 3-5. Double Spiral
  • 3-6. Star of David
  • 3-7. Doll
  • 3-8. Fushimi Cube
  • 3-9. Golden Box and Golden Trash Can
  • 3-10. Square Egg
  • 3-11. Dented Box
  • 3-12. Illusion Cube
  • 3-13. Iso-area Octahedron Frame
  • 3-14. Fishy Masu Box
  • 3-15. Hexagonal Knotted Letter
  • Afterword
  • First Appearances of the Models in this Book
  • Further Reading
  • Index