Case Study: Canvas-129

Computational Embroidery Card

📊 Module 1: Metadata Table

  • Case ID: Canvas-129
  • Perceptual Impression: Recursive Extension
  • Fundamental Structure: Zigzag Wave $\slash\backslash\slash\backslash$, Cross Stitch, Vertical Line, Diagonal $\backslash\slash$ Line
  • Thread Specifications: DMC / No. 5 Floss
  • Color Palette: Green, Orange-Red, White
  • Composition Alignment: Left to right, continuous sequence
  • Starting Logic: Continuous execution from left to right

📐 Module 2: Starting Logic & Vector Operations

  • Starting Logic:
    • Key Focus: Embroider the zigzag wave pattern first, followed by the center cross stitch.
    • Execution Order: Zigzag Wave $\slash\backslash\slash\backslash$ $\rightarrow$ Cross Stitch $\rightarrow$ Inner Vertical Line $\vert$ $\rightarrow$ Diagonal $\backslash\slash$ Line (Forming 8-way Star Partition).
    • Stitching Precision: Lines $1-2$ and $3-4$ must be tightened securely to preserve structural tension.
  • Polar Vector Operations (Syntax Type: 8-Way Star Partition):
    • Zigzag Boundary Axes: Angle $\pm 45^\circ$ (Continuous recursive wave)
    • Central Cross Axes: Angle (Horizontal) and 90° (Vertical)
    • Radial Star Division Axes: Angle $\pm 45^\circ$ / $\pm 135^\circ$ (Centripetal geometric partition)

🕸️ Module 3: Structural Mechanics & Topology

  • Topological Network: Bounded by wave peaks and troughs as perimeter anchors, with center cross axes and 8-way radial lines converging at the exact cell center.
  • Mechanical Analysis: The zigzag outer frame forms a flexible continuous tension boundary. The internal cross and diagonal radiating stitches constrict inward, subdividing the canvas plane into eight balanced triangular stress fields, exemplifying “8-way Star Partitioning.”

⚡ Module 4: SVG Vector Data & P5.js Dynamic Renderer API

🧵 Canvas-129 精確版:1-16 手稿針點路徑動畫

準備進針中…

  • SVG Geometric Parameters:
    • ViewBox: 0 0 420 390
    • Zigzag Wave Path: (45, 105) -> (105, 45) -> (165, 105) -> (225, 45)…
    • Center Cross Axes: Horizontal line (105, 195) to (225, 195), Vertical line (165, 135) to (165, 255)
    • Grid Alignment: All anchor nodes snapped to cell centers (x * 30 + 15, y * 30 + 15)

🖼️ Module 5: Visual Gallery

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