Examples
Examples
Try the starting example
- Usable roof polygon vertices [x m,y m]
- [[0,0],[10,0],[10,6],[0,6]]
- Excluded polygons (JSON array)
- [[[4,2],[6,2],[6,4],[4,4]]]
- Module width (m)
- 1
- Module length (m)
- 2
- Intermodule gap (m)
- 0.1
- Grid module count (count)
- 14
- Module rectangles [x,y,width,length] JSON
- [[0,0,2,1],[2.1,0,2,1],[4.2,0,2,1],[6.3,0,2,1],[0,1.1,2,1],[6.3,1.1,2,1],[0,2.2,2,1],[6.3,2.2,2,1],[0,3.3,2,1],[6.3,3.3,2,1],[0,4.4,2,1],[2.1,4.4,2,1],[4.2,4.4,2,1],[6.3,4.4,2,1]]
- Covered module area (m²)
- 28
Try another scenario
- Usable roof polygon vertices [x m,y m]
- [[1,0],[10,0],[10,6],[0,6]]
- Excluded polygons (JSON array)
- [[[4,2],[6,2],[6,4],[4,4]]]
- Module width (m)
- 1
- Module length (m)
- 2
- Intermodule gap (m)
- 0.1
- Grid module count (count)
- 10
- Module rectangles [x,y,width,length] JSON
- [[1.1,0,1,2],[2.2,0,1,2],[6.6,0,1,2],[7.7,0,1,2],[8.8,0,1,2],[1.1,2.1,1,2],[2.2,2.1,1,2],[6.6,2.1,1,2],[7.7,2.1,1,2],[8.8,2.1,1,2]]
- Covered module area (m²)
- 20
Calculation method
Calculation method
Grid module count (count)
Compare two axis-aligned grid orientations anchored to polygon bounding-box minimum; keep rectangles wholly inside usable polygon and outside supplied exclusions. This is a feasible layout heuristic, not a maximum packing solver.
Module rectangles [x,y,width,length] JSON
Compare two axis-aligned grid orientations anchored to polygon bounding-box minimum; keep rectangles wholly inside usable polygon and outside supplied exclusions. This is a feasible layout heuristic, not a maximum packing solver.
Covered module area (m²)
Compare two axis-aligned grid orientations anchored to polygon bounding-box minimum; keep rectangles wholly inside usable polygon and outside supplied exclusions. This is a feasible layout heuristic, not a maximum packing solver.
Symbols and units
- a
- Usable roof polygon vertices [x m,y m]
- b
- Excluded polygons (JSON array)
- c
- Module width (m)
- d
- Module length (m)
- e
- Intermodule gap (m)
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
- User-supplied measurements and assumptions; Compare two axis-aligned grid orientations anchored to polygon bounding-box minimum; keep rectangles wholly inside usable polygon and outside supplied exclusions. This is a feasible layout heuristic, not a maximum packing solver. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.