Embroidery Computation Framework

1.Overview

Embroidery is not only a craft, but a computational structural language system.
This framework explains how embroidery evolves from single-path structures into dynamically controlled spatial systems.

2.Grammar

ElementChinese instructionsEnglish Description
Structure刺繡的整體結構形態Overall structural form
Path刺繡的運行路徑Path of execution
Thread Behavior線材的行為模式Behavior of thread
Grammar Level結構所屬層級Level of structure

3.Dynamic Rules

CodeBasic RulesSpatial RulesDynamic Rules
R1Path Continuity  
R2Sequential Progression  
R3Node Convergence  
R7 Radial Expansion 
R10 Spatial Convergence 
R13  Directional Weight
R14  Path Adjustment

4.Parameter System

CanvasParametersChinese instructions
198PSingle path
201θ + rAngle + length
202θ + r + wngle + length + weight

 Core Evolution:P → (θ, r) → (θ, r, w)

5.Computation Flow

Input → Path Generation → Transformation → Accumulation → Branch → Integration → Output

6.Evolution System

Stage中文Model
Canvas 198平面結構Structure
Canvas 201空間系統Space
Canvas 202動態空間Dynamic Space

7.Evolution Logic

project198 201201 202
StructurePlane → RadialSymmetry → Asymmetry
Dimension2D → 3DFixed → Dynamic
systemPath → CoordinateCoordinate → Weighted

 8.Case Studies

projectCanvas 198Canvas 201Canvas 202
StructureTriangular meshUniform radiationasymmetric radiation
PathSingle path (1→9)radiationRadiation + Return
BehaviorconvergenceLayeringOffset + Adjustment
LevelPlane grammarSpatial syntaxDynamic space syntax
InsightA single path can generate complex structures.Embroidery can describe three-dimensional spaceEmbroidery can control spatial structure

9.Final Statement

Embroidery is a rule-based computational system capable of generating planar, spatial, and dynamic structures.

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