Examples
Examples
Try the starting example
- Planar single exterior ring
- [[0,0],[4,0],[4,3],[0,3]]
- Ring diagnostics
- []
- Signed area
- 12
Try another scenario
- Planar single exterior ring
- [[0,0],[4,3],[4,0],[0,3]]
- Ring diagnostics
- ["Zero signed area",["Nonadjacent edge intersection",0,2]]
- Signed area
- 0
Calculation method
Calculation method
Ring diagnostics
Report zero-length edges, nonadjacent intersections, fewer than3 distinct vertices and zero signed area.
Signed area
Shoelace signed area; self-intersecting ring area is algebraic, not usable polygon area.
Symbols and units
- a
- Planar single exterior ring
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Planar single-ring diagnostics using segment intersections. Hole topology and geodesic validity require separate tools. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.