THE NUMBERS, EXPLAINED
How to use this calculator.
Uses a uniform rectangular grid anchored at the top-left margin. Rotation turns every sticker 90 degrees; ties use upright. Gap is between cut lines, so any additional bleed or cutting-machine requirements must be included in your chosen gap and margins.
Start with your inputs
Enter sticker cut width (mm), sticker cut height (mm), sheet width (mm), sheet height (mm), outer margin on every edge (mm), minimum gap between cut lines (mm), allow uniform rotation: no (0), yes (1). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Sticker cut width (mm) | 50 |
| Sticker cut height (mm) | 30 |
| Sheet width (mm) | 210 |
| Sheet height (mm) | 297 |
| Outer margin on every edge (mm) | 5 |
| Minimum gap between cut lines (mm) | 3 |
| Allow uniform rotation: no (0), yes (1) | 1 |
A worked example
With the example inputs above, stickers per sheet is 30. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Stickers per sheet | 30 |
| Columns × rows | 6 × 5 |
| Orientation | Rotated |
| First centre x, y (mm) | 20, 30 |
| Centre-to-centre x, y spacing (mm) | 33, 53 |
How this is calculated
Stickers per sheet
Compare whole columns × rows in each allowed orientation; choose the larger count.
Columns × rows
Columns and rows in the chosen grid.
Orientation
All stickers share this orientation; no mixed nesting is attempted.
First centre x, y (mm)
First centre is margin + half sticker width, margin + half sticker height; no coordinate is returned if nothing fits.
Centre-to-centre x, y spacing (mm)
Sticker width + gap and sticker height + gap for the chosen orientation.
Symbols and units
- a
- Sticker cut width (mm)
- b
- Sticker cut height (mm)
- c
- Sheet width (mm)
- d
- Sheet height (mm)
- e
- Outer margin on every edge (mm)
- f
- Minimum gap between cut lines (mm)
- g
- Allow uniform rotation: no (0), yes (1)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Uses a uniform rectangular grid anchored at the top-left margin. Rotation turns every sticker 90 degrees; ties use upright. Gap is between cut lines, so any additional bleed or cutting-machine requirements must be included in your chosen gap and margins.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Stickers per sheet; Columns × rows; Orientation; First centre x, y (mm); Centre-to-centre x, y spacing (mm). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Uses a uniform rectangular grid anchored at the top-left margin. Rotation turns every sticker 90 degrees; ties use upright. Gap is between cut lines, so any additional bleed or cutting-machine requirements must be included in your chosen gap and margins.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: geometric formulas ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →