Ceramic test tile label inventory calculator

Calculate unique test labels and total tile count with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use unique test labels and total tile count to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Recipe IDs comma separated
R1,R2,R3
Firing variant IDs comma separated
F1,F2
Replicate tiles per combination
2
Unique test labels
[["R1","F1",1],["R1","F1",2],["R1","F2",1],["R1","F2",2],["R2","F1",1],["R2","F1",2],["R2","F2",1],["R2","F2",2],["R3","F1",1],["R3","F1",2],["R3","F2",1],["R3","F2",2]]
Total tile count
12

Try another scenario

Recipe IDs comma separated
R1,R2,R3
Firing variant IDs comma separated
F1,F2
Replicate tiles per combination
3
Unique test labels
[["R1","F1",1],["R1","F1",2],["R1","F1",3],["R1","F2",1],["R1","F2",2],["R1","F2",3],["R2","F1",1],["R2","F1",2],["R2","F1",3],["R2","F2",1],["R2","F2",2],["R2","F2",3],["R3","F1",1],["R3","F1",2],["R3","F1",3],["R3","F2",1],["R3","F2",2],["R3","F2",3]]
Total tile count
18
Calculation method

Calculation method

Unique test labels

Cartesian product recipe×firing×replicate with JSON tuple labels, preventing ambiguous separator collisions.

Total tile count

Recipe count×firing count×replicates.

Symbols and units
a
Recipe IDs comma separated
b
Firing variant IDs comma separated
c
Replicate tiles per combination

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

  • Recipes, firing variants, replicate counts. Returns Unique test labels and tile count. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Replicate tiles per combination: minimum 1, maximum 100.
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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.

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