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Tessellations Origami Techniques

Collection of origami tesselations with detailed explanations on how to fold them. The author carefully explains his method of creation so that you can create your own Tesselations.

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Tessellations Origami Techniques
 

 

Collection of origami tesselations with detailed explanations on how to fold them. The author carefully explains his method of creation so that you can create your own Tesselations.

 

Table of Contents:


Introduction: Patterns and Origami


0.1 Genealogy of Mon pattern origami
0.2 Origami and development
0.3 Theory of Flat Fold
0.4 Flat Fold and Mirror Transformation
0.5 Flat Fold and Torsion Fold
0.6 Tessellation
0.7 Origami production tips

Chapter 1 Folding a Square Lattice
1.1 Square torsion folding
1.2. isosceles right triangle torsion fold
1.3 Fold a checkerboard pattern
1.4 Thinking while folding
1.5. connecting using contour folding
Example 01. checkerboard
Example 02. Connecting rhombus shapes
Example 03. Transforming checkerboard
Example 04. Pyramid
Dot Pattern 1
Dot Pattern Part 2
For those who want to know the theory: Designing pattern origami to express dots

 

Chapter 2. Folding a triangle lattice


2.1. Twisting and folding equilateral triangles
2.2. torsion folding of equilateral hexagons
2.3. torsion folding of right triangles
Example 07. scaling
Example 08. Scattered scales
Sample 09. Triangle connection
Example 10. Tortoise shell
Column 1. Lattice and torsion folding

 

Chapter 3. Connecting torsion folds of triangles


3.1. drawing a torsion fold of a triangle
3.2. connecting torsion folds of triangles
3.3 Drawing a regular polygon pattern
Example 11. inverted star
Example 12. Sharp Inverted Star
Example 13. six flowers
Example 14. square windmill
Sample 15. Islamic pattern of a regular decagon
Example 16. Connected Tortoise Shell Frames
Example 17. Six Flowers Connected at the Vertices
Example 18. Triangle Twist Pattern
Column 2: How to use Triangle Twist Pattern Maker
For those who want to know the theory: Position and length of the pleat reference line

 

Chapter 4 Connecting Different Parts


4.1. development and outline by torsion drawing method
4.2. parts and regular plane filling
4.3 Plane Filling of Equilateral Polygonal Parts
4.4. placement of parts and blank areas
Example 19. shuriken
Example 20. metamorphosis of six flowers
Example 21. flower connection
Example 22. Connected square windmills
Example 23. Connected Pentagons
Example 24. Connected Star Shapes
Example 25. Connected regular dodecagons in Islamic pattern
Example 26. Hexagonal Islamic pattern
Example 27. Penrose Tiling
Example 28. Hexagonal flower tiling
For those who want to know the theory :  Conditions for a guide that can be folded to contract the outline

 

Chapter 5. Drawing the pattern you want to express


5.1. pattern origami and single-color patterns
5.2. torsion and polygonal surface
5.3 Drawing a development for a single-color pattern
Example 29. heart
Example 30. Square with a star
Example 31. Ohio Star
Example 32. Basket
Example 33. Hemp Leaves
Example 34. Bishamon tortoiseshell
Example 35. Cherry blossoms
Example 36. Takedabishi
Connecting hemp leaves and Bishamon tortoiseshell
For those who want to know the theory ④ Effect of changing the pleat reference line on the development

 

Chapter 6. Folding bellows


6.1. folding parallel lines
6.2. folding a bellows
6.3. periodic bellows vertically and horizontally
6.4. fold irregular bellows
Example 38. trapezoidal folding
Example 39. connecting knots
Example 40. block bellows
Example 41. Tubular block bellows
Example 42. Peano curve
Column 3. Origami Tessellation's design software "Tess

 

Chapter 7. Applying the Torsion Method


7.1. restoring a guide used for plotting
7.2. expansion rules and guide rules
7.3. connecting guides at different locations
Example 43. Transforming a Hydrangea Fold
Example 44. Radiating checkerboard
7.4. two folds
Example 46. Windmill
Example 47. Right-angled triangle scales
Sample 48. Mountain Road Pattern
Example 49. Arrow Pattern
Music note
Column 4: Connecting patterned origami and curved origami

 

 

 
Product Details:

 

Softcover: 172 pages

Language: English
Product Dimensions: A4 (21x29.7 cm)

 

 

 

 

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