Canvas 204_Case Study

1. Overview

The path consists of alternating front and back movements forming a continuous execution system.

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2. Structure

The structure is defined on a 5×5 grid (25 nodes), forming a bidirectional diagonal system.
✦Grid (Dense / Repetitive)
✦Non-symmetric layout
✦Distributed anchor points
✦High-density repeating units
✦Bidirectional Diagonal System
✦Each unit is almost identical (modularized)
✦From Grid → Convert to "Continuous Strip Structure"

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3. Path

✦Primary: Continuous  
✦ Secondary: Zigzag / Loop-lik
✦Complete a single line continuously
✦ Presentation: Left → Right → Turnaround → Left → Turnaround
✦Essence: Zigzag + Local Loop Structure

The path consists of alternating front and back movements forming a continuous execution system.
1 → 22 → 6 → 23 → 11 → 24 → 16 → 25 → 1 → 10 → 2 → 15 → 3 → 20 → 4 → 25

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4.Thread Behavior

The embroidery system separates visible (front) and invisible (back) movements.
✦Front = Visible Structure
✦Back = Hidden Connection
✦Anchor = Structural Control
✦Interlocking (High Tension)
✦ The lines "interlock" at their intersections.
✦Tension is too high (tight, compressed)
✦No floating

This structure is based on a dense grid system, executed through a continuous zigzag path that interlocks between adjacent units. Stability is maintained through high thread tension and repetitive structural anchoring.

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5.Embroidery Execution Visualization

Execution-based embroidery structure of Canvas 204.
Red lines indicate front-visible stitches, while gray dashed lines represent hidden back-path movements. Arrows denote execution direction, and step labels (S1–S15) illustrate the sequential decision process.
The structure reveals a bidirectional diagonal system and path-dependent formation logic.

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7.Key Findings

✦Structure emerges from execution, not design
✦Diagonal preference dominates path decisions
✦Back-path enables structural continuity

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8.Conclusion

 Canvas 204 demonstrates that embroidery can be interpreted as an executable structural language.

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Embroidery Grammar

✦Structure:Bidirectional Diagonal System (Non-symmetric, Distributed)
✦Path:Alternating Front–Back Execution Path (Discrete / Directional / Long-distance jumps)
✦Thread Behavior:Front-visible structure with hidden back-path continuity. Execution is path-dependent, with long-range stitching and implicit tension balancing.
✦Grammar Level:Execution-Based Structural Language (Level: Advanced)