THE NUMBERS, EXPLAINED
How to use this calculator.
Entered unit caps and point values define the only rules checked; faction legality and game edition must be reviewed separately.
Start with your inputs
Enter unit quantities (counts), user-supplied points per unit, army point cap, user-supplied maximum quantities. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Unit quantities (counts) | 2,3 |
| User-supplied points per unit | 50,20 |
| Army point cap | 150 |
| User-supplied maximum quantities | 3,2 |
A worked example
With the example inputs above, army point total is 160. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Army point total | 160 |
| Points over cap | 10 |
| Unit rows violating quantity caps | 2 |
How this is calculated
Army point total
Multiply each unit quantity by its supplied points and sum.
Points over cap
Subtract point cap and floor at zero.
Unit rows violating quantity caps
Compare each unit quantity with its supplied cap.
Symbols and units
- a
- Unit quantities (counts)
- b
- User-supplied points per unit
- c
- Army point cap
- d
- User-supplied maximum quantities
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
Entered unit caps and point values define the only rules checked; faction legality and game edition must be reviewed separately.
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?
Army point total; Points over cap; Unit rows violating quantity caps. 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: Entered unit caps and point values define the only rules checked; faction legality and game edition must be reviewed separately.
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 Prealgebra 2e — arithmetic and proportions ↗
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 →