Canvas 201_Case Study

From Surface Structure to Spatial System

1.Figure Caption

Canvas 201 demonstrates an embroidery structure defined by angle and length control. Through radial paths and node convergence, a three-dimensional spatial model emerges, marking a transition from planar structures to spatial systems.

2.Key Insight

Embroidery is no longer limited to surface patterns.
Through coordinate control, embroidery can generate three-dimensional structures.

Canvas 201 shows that:
✦Embroidery can describe space
✦Structures can have depth
✦Paths can control spatial form

3.Coordinate System

The structure is based on: Angle + Length control
Each stitch represents:✦A direction (θ)✦A distance (r)
form:Polar coordinate system

4.Structural Formation

Early Stage
✦Initial radial units
✦Directional setup

Middle Stage
✦Multi-angle expansion
✦Increasing node interaction

Late Stage
✦Layered structure emerges
✦Spatial convergence forms a core

5.3D Convergence Structure

Paths converge toward a center, not on a flat surface, but:Within spatial depth,This creates:
✦A three-dimensional core
✦Multi-directional tension
✦Structural balance

6.Layered Depth

Color is not decorative, but:A depth encoding system
✦Yellow: front / upper layer
✦Dark green: back / lower layer
✦Light green: transitional layer
 form:A layered spatial structure

7.Embroidery Grammar (3D)

LevelDefinition
CoordinateAngle + length
DirectionRadial control
LayerSpatial depth
ConvergenceSpatial Convergence
Structure3D model
systemSpatial embroidery system

8.Relation to Canvas 198

Canvas 198:
✦Planar triangular structure
✦Central woven core

Canvas 201:
✦Radial spatial structure
✦Three-dimensional convergence

 Evolution:2D Structure → 3D Spatial System

9.Conclusion

Canvas 201 demonstrates:Embroidery can evolve from planar structures into spatial systems
Through coordinate-based stitching, it can generate:
✦Spatial structures
✦Depth layers
✦Three-dimensional models
This marks the emergence of: Embroidery as a spatial language

Embroidery Grammar

✦Structure: Three-dimensional spatial model
✦Path: Radial Coordinate Path
✦Thread Behavior: Radiation & spatial layering
✦Grammar level: Coordinate control generates 3D structure

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