Examples
Examples
Try the starting example
- Rectangle extent width (m)
- 100
- Rectangle extent height (m)
- 80
- Pointy hexagon side length (m)
- 10
- Hexagon centers whose cells intersect bounding rectangle
- [[0,0],[17.3205080757,0],[34.6410161514,0],[51.9615242271,0],[69.2820323028,0],[86.6025403784,0],[103.923048454,0],[-8.66025403784,15],[8.66025403784,15],[25.9807621135,15],[43.3012701892,15],[60.6217782649,15],[77.9422863406,15],[95.2627944163,15],[0,30],[17.3205080757,30],[34.6410161514,30],[51.9615242271,30],[69.2820323028,30],[86.6025403784,30],[103.923048454,30],[-8.66025403784,45],[8.66025403784,45],[25.9807621135,45],[43.3012701892,45],[60.6217782649,45],[77.9422863406,45],[95.2627944163,45],[0,60],[17.3205080757,60],[34.6410161514,60],[51.9615242271,60],[69.2820323028,60],[86.6025403784,60],[103.923048454,60],[-8.66025403784,75],[8.66025403784,75],[25.9807621135,75],[43.3012701892,75],[60.6217782649,75],[77.9422863406,75],[95.2627944163,75],[0,90],[17.3205080757,90],[34.6410161514,90],[51.9615242271,90],[69.2820323028,90],[86.6025403784,90],[103.923048454,90]]
- Hexagon cell area (m²)
- 259.807621
- Candidate grid cell count
- 49
Try another scenario
- Rectangle extent width (m)
- 110.00000000000001
- Rectangle extent height (m)
- 80
- Pointy hexagon side length (m)
- 10
- Hexagon centers whose cells intersect bounding rectangle
- [[0,0],[17.3205080757,0],[34.6410161514,0],[51.9615242271,0],[69.2820323028,0],[86.6025403784,0],[103.923048454,0],[-8.66025403784,15],[8.66025403784,15],[25.9807621135,15],[43.3012701892,15],[60.6217782649,15],[77.9422863406,15],[95.2627944163,15],[112.583302492,15],[0,30],[17.3205080757,30],[34.6410161514,30],[51.9615242271,30],[69.2820323028,30],[86.6025403784,30],[103.923048454,30],[-8.66025403784,45],[8.66025403784,45],[25.9807621135,45],[43.3012701892,45],[60.6217782649,45],[77.9422863406,45],[95.2627944163,45],[112.583302492,45],[0,60],[17.3205080757,60],[34.6410161514,60],[51.9615242271,60],[69.2820323028,60],[86.6025403784,60],[103.923048454,60],[-8.66025403784,75],[8.66025403784,75],[25.9807621135,75],[43.3012701892,75],[60.6217782649,75],[77.9422863406,75],[95.2627944163,75],[112.583302492,75],[0,90],[17.3205080757,90],[34.6410161514,90],[51.9615242271,90],[69.2820323028,90],[86.6025403784,90],[103.923048454,90]]
- Hexagon cell area (m²)
- 259.807621
- Candidate grid cell count
- 52
Calculation method
Calculation method
Hexagon centers whose cells intersect bounding rectangle
Pointy-top rows spaced1.5side, columns sqrt(3)side; include a conservative border cell band.
Hexagon cell area (m²)
3sqrt(3)side²/2.
Candidate grid cell count
Count generated centers; boundary cells need clipping for exact study-area coverage.
Symbols and units
- a
- Rectangle extent width (m)
- b
- Rectangle extent height (m)
- c
- Pointy hexagon side length (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
- Pointy-top planar hexagonal grid candidate coverage layout on a rectangle. Border hexagons remain unclipped; count includes cells whose bounding boxes intersect the extent. 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. Rectangle extent width (m): minimum 1e-12, maximum 1000000000000.0. Rectangle extent height (m): minimum 1e-12, maximum 1000000000000.0. Pointy hexagon side length (m): minimum 1e-12, 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.