Canvas 120_Case Study

1. Identification

ID:Canvas 120

Research Status: Validated Structure

Version: Corrected Structural Version

Structure Type: Interlaced Zigzag Continuous Structure

Technique Category:Single-thread Continuous Embroidery

Fabric: Canvas（5mm grid）

Thread: Two-tone twisted thread

2. Abstract

This case study examines an interlaced zigzag structure formed by a single continuous thread. Through path tracing, geometric analysis, and front–back comparison, its structural grammar and stability conditions are established.

3. Materials and Methods

Fabric:Canvas（5mm grid）

Thread: Two-tone twisted thread

Technique: Single-thread continuous embroidery

Methodology:

  • Path tracing
  • Geometric measurement
  • Front–back comparison
  • Tension observation

4. Geometry and Structure

Angle System:

  • Approximately 70° (ascending)
  • Approximately 0° (horizontal connection)
  • Approximately 108° (descending)

Length Module:

  • Approximately 37 mm (diagonal)
  • Approximately 12 mm (horizontal)

Structural Form:

Interlaced Zigzag Pattern

 Explanation:

The structure consists of alternating long diagonals and short horizontals, forming a periodic zigzag rhythm.

5.Path Analysis

Path Type: Single-thread Closed Loop

Path Sequence: 1 → 3 → 6 → 4 → 2 → 5 → 1（Cycle）

Path Characteristics:

  • No interruption
  • no deviation / no branching
  • fully traceable crossings

Key Insight: This structure is a fully closed path system.

6.Node System

Node Types:

  • Cross Node
  • Turning Node

Node Functions:

  • Path guidance
  • 鎖定結構（Structural Lock）
  • 分配張力（Tension Distribution）
  • 引導方向（Directional Control）

Node = Geometric point + Mechanical control point
Each node is both geometric and mechanical.

7. Front–Back Structural Analysis

Front

  • Stable visual rhythm
  • Regular zigzag arrangement
  • Flowing, mixed colors

Back

  • Consistent with front structure
  • No abnormal paths
  • No tension buildup

Key Insight:

Front–back consistency confirms structural validity.

8.Color Structure

Color Composition: Pink × Green

Color Behavior

  • Two-color twist within the same line
  • Colors present a "mixed flow," not block color separation

Color Turning Points:

  • No thread change
  • This arises naturally from the change in direction and the twisting of lines.

Important Observation:

Color is a path-dependent phenomenon, not a structural driver.

9.Embroidery Structural Grammar

Grammar Rules:

  • Closed loop required
  • No deviation
  • Traceable crossings
  • Uniform tension distribution

10. Structural Typology

Level      Classification

Level 1     Linear

Level 2     Interlaced

Level 3     Periodic

Level 4     Closed Cyclic System

Level 5     Stable Structure

11. Structural Stability Analysis

Sources of Stability:

  • Symmetrical crossings
  • Periodic repetition
  • Single path continuity

Results: Stable Structure

✔ No localized tension accumulation
✔ No structural deformation
✔ No erroneous paths

12. Discussion

This case demonstrates:

  • A single thread can generate complex structures
  • Structural correctness must be verified from the back
  • Path is the fundamental language of embroidery

13. AI & Database Value

This case can be used as:

✔ Ground Truth
✔ Path Learning Model
✔ Validation Benchmark
✔ Core Grammar Data

14. Conclusion

Canvas 120 (corrected version) represents a fully closed, front–back consistent, and structurally stable interlaced zigzag system, serving as a fundamental model in embroidery structural language.

15. Embroidery Grammar

✦Structure: Interlaced Zigzag
✦Path: Single-thread closed loop
✦Thread behavior: Periodic × Symmetrical × Continuous
✦Grammar Level: Periodic

Scroll to Top