Canvas 215 _ Case Study
Non-local Tension System with Discontinuous Jump Path



1. Overview
Canvas 215 represents a non-local embroidery system in which structure is generated through long-distance tension jumps rather than continuous stitching. The resulting surface appears uniform and dense, while the underlying path reveals discontinuous and highly distributed movement.
2. Structure
The visible structure consists of repeated diamond-like units arranged across a regular grid. Despite the apparent continuity, the formation is not produced through sequential filling, but emerges from distributed tension interactions.
• Type: Distributed Diamond Surface
• Continuity: Visually continuous, structurally discontinuous
• Grid: Regular (8×8 system)
3. Path
The path is characterized by discontinuous long-distance jumps across the grid, interspersed with short local movements for positional adjustment. A single thread completes the entire structure without cutting.
• Type: Discontinuous Jump Path
•Thread: Single continuous thread
•Behavior: Long jump → Local adjustment → Long jump
4. Tension System

👉 Gray grid 👉 Thick red arrow (Principal force - long-distance jump) 👉 Orange arrow (Secondary tension - mid-distance connection) 👉 Short blue lineNo arrow(Location - Short Back Path)
Tension acts as the governing mechanism in this system. Long-distance connections create global structural forces, while short connections provide local anchoring. The spatial form emerges from hierarchical tension interactions.
Spatial form emerges from hierarchical tension jumps, not continuous stitching.
• Primary Tension: Long-distance diagonal connections
• Secondary Tension: Mid-range linking segments
•Anchoring: Short local stabilizing stitches
Tension is not an auxiliary element, but rather the primary factor in generating structure.
The sense of three-dimensionality comes from the layers of tension, not the density of the stitching.

🔴Canvas 215: Non-local jump tension 👉 Tension spans the entire structure (most free, most discontinuous)
🟠 Canvas 152: Interlaced structural tension begins to "interlace and form a stable structure".
🔵 Canvas 129: Radial Distributed Tension 👉 Tension is concentrated at the center and diffuses outward (most stable)
Tension evolves from non-local jumps to structured interlacing, and finally to radial stabilization.
The embroidery structure is not formed by the accumulation of stitches, but by the evolution of a tension system.
Its evolution process involves non-local jumps (215), through interlaced structures (152), and finally forms a centrally stable radial system (129).
Embroidery is not defined by stitches, but by tension behaviors.
This map classifies embroidery structures based on how tension is generated and distributed.
5. Front / Back Relationship
The front side presents a regular and stable surface, while the back side reveals the actual generative logic of the system. Long floating threads and discontinuous connections demonstrate that structure and path belong to different layers of the embroidery system.
• Front: Dense, regular, visually continuous
• Back: Discontinuous, long-span connections
6. System Behavior
The system operates through tension-driven generation rather than sequential construction. Form is not built step-by-step, but emerges from non-local interactions across the grid.
Tension Framing with Localized Re-anchoring
7. Key Insight
This case demonstrates that embroidery structure is not determined by stitch repetition, but by the configuration of tension forces. The visible pattern is a secondary effect of an underlying force system.
Structure is visible, Path is generative, Tension is governing.
8. Classification
• Structural Type: Non-local Distributed System
• Path Type: Discontinuous Jump Path
• Tension Type: Non-local Tension System

The structure of embroidery is not solely determined by stitches, but rather by three layers:
✦ Surface structure is a visible result
✦Path is the generation process
Tension is the control mechanism.
9. Research Significance
Canvas 215 represents a high-level embroidery system where structure emerges from non-local interactions. It challenges traditional assumptions of continuity and introduces a framework for understanding embroidery as a generative and computational system.
10. Keywords
Embroidery Structure, Tension System, Non-local Interaction, Generative Path, Canvas Study
