genpark-half-edge-mesh-dcel-topology-skill
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Doubly Connected Edge List (DCEL) Half-Edge mesh topology with vertex incident cycles and Euler characteristic
README.md
genpark-half-edge-mesh-dcel-topology-skill
Agent Skill implementing the Doubly Connected Edge List (DCEL) Half-Edge topological mesh data structure for manifold mesh traversal, twin edge pairing, and Euler characteristic analysis.
Architectural Overview
flowchart TD
Vertices["Vertex Coordinates"] & Faces["Face Incidence Lists"] --> DCEL["Half-Edge DCEL Builder"]
DCEL --> Twin["Twin Edge Pairing Map (u, v) <-> (v, u)"]
DCEL --> Cycle["Next / Prev Half-Edge Cycle Links"]
Twin & Cycle --> Topological["Compute Euler Characteristic Chi = V - E + F"]
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