Examples
Examples
Try the starting example
- Sheet width (mm)
- 210
- Sheet height (mm)
- 297
- Badge width (mm)
- 90
- Badge height (mm)
- 55
- Margin each edge (mm)
- 10
- Gap between badges (mm)
- 5
- Required badges
- 100
- Columns
- 2
- Rows
- 4
- Badges per sheet
- 8
- Sheets required
- 13
Try another scenario
- Sheet width (mm)
- 100
- Sheet height (mm)
- 100
- Badge width (mm)
- 30
- Badge height (mm)
- 30
- Margin each edge (mm)
- 0
- Gap between badges (mm)
- 5
- Required badges
- 10
- Columns
- 3
- Rows
- 3
- Badges per sheet
- 9
- Sheets required
- 2
Calculation method
Calculation method
Columns
Floor((sheet width − two margins + gap)/(badge width + gap)).
Rows
Floor((sheet height − two margins + gap)/(badge height + gap)).
Badges per sheet
Columns × rows, without rotating badges.
Sheets required
Round up required badges / badges per sheet.
Symbols and units
- a
- Sheet width (mm)
- b
- Sheet height (mm)
- c
- Badge width (mm)
- d
- Badge height (mm)
- e
- Margin each edge (mm)
- f
- Gap between badges (mm)
- g
- Required badges
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
- Fixed-orientation rectangular grid. Margins apply to every outer edge; gaps are only between badges. Bleed, printer registration and die-cut constraints are separate.
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
OpenStax: ratios, percentages and rectangular geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.