THE NUMBERS, EXPLAINED
How to use this calculator.
Coordinates are measured from the cabinet bottom. Exclusion endpoints are inclusive. Enter matching start and end lists, or 0 in both for no exclusions. At most 1,000 candidate positions; diameter and load capacity are not modelled.
Start with your inputs
Enter cabinet height (mm), first hole offset from bottom (mm), hole pitch (mm), top clearance (mm), excluded zone starts (mm; 0 for none), excluded zone ends (mm; 0 for none). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Cabinet height (mm) | 800 |
| First hole offset from bottom (mm) | 50 |
| Hole pitch (mm) | 100 |
| Top clearance (mm) | 50 |
| Excluded zone starts (mm; 0 for none) | 300 |
| Excluded zone ends (mm; 0 for none) | 450 |
A worked example
With the example inputs above, hole count is 6. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Hole count | 6 |
| Hole coordinates (mm) | 50, 150, 250, 550, 650, 750 |
How this is calculated
Hole count
Generate first offset + i × pitch through height − top clearance, inclusive; remove positions in any excluded interval.
Hole coordinates (mm)
List the remaining positions from the cabinet bottom in increasing order.
Symbols and units
- a
- Cabinet height (mm)
- b
- First hole offset from bottom (mm)
- c
- Hole pitch (mm)
- d
- Top clearance (mm)
- e
- Excluded zone starts (mm; 0 for none)
- f
- Excluded zone ends (mm; 0 for none)
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
Coordinates are measured from the cabinet bottom. Exclusion endpoints are inclusive. Enter matching start and end lists, or 0 in both for no exclusions. At most 1,000 candidate positions; diameter and load capacity are not modelled.
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?
Hole count; Hole coordinates (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: Coordinates are measured from the cabinet bottom. Exclusion endpoints are inclusive. Enter matching start and end lists, or 0 in both for no exclusions. At most 1,000 candidate positions; diameter and load capacity are not modelled.
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 and arithmetic ↗
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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