Case Study: Canvas-009

Yunbroidery Stitch Algorithm Syntax Card

Module 1: Metadata Table

Property	Archive Data & Specification
Archive Code	Canvas-009
Perceptual Impression	Clear / Orderly Perception (Presents rigorous geometric symmetry and rhythmic dynamic structure through gradient sky blue & silver thread 2-3-4-3-2 diagonal step arrays)
Basic Structure	2-3-4-3-2 grid units per module (45∘ diagonal stitches: center 4-grid line as fixed main line → left/right 3-grid → left/right 2-grid)
Syntax Type	Square Block Pattern
Thread Specification	DMC / No. 25 thread, 4 strands folded, No. 25 tapestry needle
Color Palette	Dark Sky Blue (#1d3557), Light Sky Blue (#457b9d), Silver Thread (#e0e1dd)
Composition Direction	Bottom-Left to Bottom-Right progression; Leave 1 grid space empty between two consecutive modules (2-2 spacing rule)

Module 2: Starting Logic & Vector Operations

• Starting Rules (Base Diagonal Unit: 2-3-4-3-2 Grids, Unit 1):
  • Stitch 1 (Span 2 grids, upper-left short line): Top-Right (90,70)→ Bottom-Left (50,110)
  • Stitch 2 (Span 3 grids, secondary long line): Top-Right (110,70)→ Bottom-Left (50,130)
  • Stitch 3 (Span 4 grids, center main anchor line): Top-Right (130,70)→ Bottom-Left (50,150)
  • Stitch 4 (Span 3 grids, secondary long line): Top-Right (130,90)→ Bottom-Left (70,150)
  • Stitch 5 (Span 2 grids, lower-right short line): Top-Right (130,110)→ Bottom-Left (90,150)
• Module Spacing Rule:
  • Leave 1 grid empty between two units (Δx=+60 px horizontal step progression).
• Dual-Direction Stitching Logic (Shading Contrast):
  • Dark Sky Blue and Light Sky Blue utilize opposite stitching directions (Bottom-to-Top vs. Top-to-Bottom) to enhance 3D texture and optical refraction.
• Polar Vector & Angle Operations:
  • Diagonal Vector Angle: 225∘ (45∘ diagonal direction), vector increment ratio (Δx:Δy=−1:+1).
  • Length Gradients: 2 grids (3200​ px≈56.57 px), 3 grids (7200​ px≈84.85 px), 4 grids (12800​ px≈113.14 px).

Module 3: Structural Mechanics & Topology

• Core Topological Node Network:
  • Square Block Modular System: Built upon the symmetrical 2-3-4-3-2 geometry, the central 4-grid main line acts as the primary tension shaft, supported by 3-grid and 2-grid side lines forming a trapezoidal wing structure that evenly distributes tension outwards.
  • Isolated Spacing & Dynamic Rhythm: The 1-grid gap allows each square module to emerge independently in 3D relief without thread clutter or canvas warping.
• Structural Mechanics Analysis:
  • Central Anchor Balance: The central 4-grid line bears maximum structural strain, while the symmetrically decreasing flanking lines prevent diagonal shear deformation.

Module 4: SVG Vector Syntax & Dynamic Rendering Data

Canvas-009 Algorithmic Embroidery: 2-3-4-3-2 Square Block Unit (Sky Blue Palette Animation Version)

Module 5: Visual Gallery

Module 6: Algorithm Extensions & Variant Syntax

• Thread Physics & Coverage:
  • Mesh Size: 18-count Mono Canvas.
  • Thread Volume: DMC No. 25 thread, 4 strands folded, delivering rich 3D diagonal coverage.
• Stitch Variant Matrix:
  • Extended Scale Variant: Can be expanded from 2-3-4-3-2 to 2-3-4-5-4-3-2 to form larger square block matrices.
• Procedural Parameters:
  • unitSpacing: Set to 1.0 unit (1 grid empty gap) to preserve geometric clarity and orderly contrast.