Polygon Area And Point-Location Ladder¶
Who This Is For¶
Use this ladder when you are comfortable with vectors and orientation and want to move into full closed-shape reasoning.
Warm-Up¶
- shoelace area
- point on boundary vs inside
Core¶
- point in polygon
- nested polygons and region reasoning
Retrieval Layer¶
- polygon area -> shoelace-area.cpp
- point classification -> point-in-polygon.cpp
- quick reminder sheet -> Geometry cheatsheet
Example Notes¶
Exit Criteria¶
You are ready to move on when you can:
- compute polygon area with the closing edge included automatically
- define and enforce one boundary convention
- avoid common ray-casting vertex double-count bugs
- use area and containment together in nested-polygon problems