Examples
Examples
Try the starting example
- Planar ring coordinates [x,y]
- [[0,0],[4,0],[4,3],[0,3]]
- Y axis: 0 up; 1 down
- 0
- Signed area
- 12
- Ring orientation
- Counterclockwise
- Reversed ring coordinates
- [[0,3],[4,3],[4,0],[0,0]]
Try another scenario
- Planar ring coordinates [x,y]
- [[0,0],[4,0],[4,3],[0,3]]
- Y axis: 0 up; 1 down
- 1
- Signed area
- -12
- Ring orientation
- Clockwise
- Reversed ring coordinates
- [[0,3],[4,3],[4,0],[0,0]]
Calculation method
Calculation method
Signed area
Shoelace signed area, sign flipped for downward Y.
Ring orientation
Positive is counterclockwise in selected coordinate convention.
Reversed ring coordinates
Reverse coordinate sequence; geometry unchanged.
Symbols and units
- a
- Planar ring coordinates [x,y]
- b
- Y axis: 0 up; 1 down
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
- Coordinate rings, coordinate convention. Returns Orientation and reversal proposal. All coefficients and observations are user supplied; results describe only the stated mathematical model. 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. Y axis: 0 up; 1 down: minimum 0, maximum 1.
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.