Examples
Examples
Try the starting example
- Shelf usable width (cm)
- 60
- Shelf usable depth (cm)
- 50
- Identical rectangular ware width (cm)
- 12
- Ware depth (cm)
- 10
- Supplied gap between pieces (cm)
- 2
- Feasible pieces per shelf
- 16
- Chosen grid orientation
- Unrotated grid
Try another scenario
- Shelf usable width (cm)
- 80
- Shelf usable depth (cm)
- 50
- Identical rectangular ware width (cm)
- 12
- Ware depth (cm)
- 10
- Supplied gap between pieces (cm)
- 2
- Feasible pieces per shelf
- 20
- Chosen grid orientation
- Unrotated grid
Calculation method
Calculation method
Feasible pieces per shelf
Best of two uniform rectangular grid orientations; no mixed-orientation optimization.
Chosen grid orientation
Compare unrotated and rotated homogeneous grids.
Symbols and units
- a
- Shelf usable width (cm)
- b
- Shelf usable depth (cm)
- c
- Identical rectangular ware width (cm)
- d
- Ware depth (cm)
- e
- Supplied gap between pieces (cm)
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
- Shelf dimensions, ware footprints, supplied clearances. Returns Feasible load arrangement. 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. Shelf usable width (cm): minimum 1e-12, maximum 1000000000000.0. Shelf usable depth (cm): minimum 1e-12, maximum 1000000000000.0. Identical rectangular ware width (cm): minimum 1e-12, maximum 1000000000000.0. Ware depth (cm): minimum 1e-12, maximum 1000000000000.0. Supplied gap between pieces (cm): minimum 0, maximum 1000000000000.0.
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.