THE NUMBERS, EXPLAINED
How to use this calculator.
Fits a uniform rectangular grid. Gripper allowance is additional to the two height margins. Compare upright and 90-degree rotated grids; ties use upright. Mixed rotation/nesting is not searched. Artwork sizes already include bleed; no press certification is implied.
Start with your inputs
Enter press sheet width (mm), press sheet height (mm), flat artwork width including bleed (mm), flat artwork height including bleed (mm), additional leading gripper allowance (mm), outer margin on every edge (mm), gutter between artworks (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 |
|---|---|
| Press sheet width (mm) | 300 |
| Press sheet height (mm) | 200 |
| Flat artwork width including bleed (mm) | 90 |
| Flat artwork height including bleed (mm) | 60 |
| Additional leading gripper allowance (mm) | 0 |
| Outer margin on every edge (mm) | 0 |
| Gutter between artworks (mm) | 10 |
| Allow uniform rotation: no (0), yes (1) | 1 |
A worked example
With the example inputs above, artwork count is 9. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Artwork count | 9 |
| Grid columns × rows | 3 × 3 |
| Orientation | Upright |
| Artwork area utilization (%) | 81 |
| Grid width (mm) | 290 |
| Grid height (mm) | 200 |
How this is calculated
Artwork count
For each allowed orientation multiply roundDown((usable width + gutter)/(art width + gutter)) by the corresponding row count; choose the larger count.
Grid columns × rows
Report columns and rows of the chosen uniform grid.
Orientation
Rotated means every artwork is turned 90 degrees; ties remain upright.
Artwork area utilization (%)
Count × artwork area ÷ full sheet area × 100.
Grid width (mm)
Columns × artwork width + (columns−1) × gutter, or zero if none fit.
Grid height (mm)
Rows × artwork height + (rows−1) × gutter, or zero if none fit.
Symbols and units
- a
- Press sheet width (mm)
- b
- Press sheet height (mm)
- c
- Flat artwork width including bleed (mm)
- d
- Flat artwork height including bleed (mm)
- e
- Additional leading gripper allowance (mm)
- f
- Outer margin on every edge (mm)
- g
- Gutter between artworks (mm)
- h
- 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
Fits a uniform rectangular grid. Gripper allowance is additional to the two height margins. Compare upright and 90-degree rotated grids; ties use upright. Mixed rotation/nesting is not searched. Artwork sizes already include bleed; no press certification is implied.
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?
Artwork count; Grid columns × rows; Orientation; Artwork area utilization (%); Grid width (mm); Grid height (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: Fits a uniform rectangular grid. Gripper allowance is additional to the two height margins. Compare upright and 90-degree rotated grids; ties use upright. Mixed rotation/nesting is not searched. Artwork sizes already include bleed; no press certification is implied.
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.
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