Clapping Game Hand Pattern Periodicity Calculator
Minimal exact gesture-ID period consistent with observed clapping-game prefix; incomplete cycle retained. Does not predict future gestures or establish cultural lineage.
Description
A repeating hand-pattern sequence can be summarized by its smallest observed period.
A repeating hand-pattern sequence can be summarized by its smallest observed period.1
A partial final cycle can still fit a period, but a finite sequence does not prove future repetition. Use this tool to calculate clapping Game Hand Pattern Periodicity from the supplied measurements and assumptions.
When to use Clapping Game Hand Pattern Periodicity Calculator
Use this tool to calculate clapping Game Hand Pattern Periodicity from the supplied measurements and assumptions. Identify the community, narrative version, source edition and interpretation context; prepare any annotations independently.
How to use Clapping Game Hand Pattern Periodicity Calculator and understand its results
- Identify the community, narrative version, source edition and interpretation context; prepare any annotations independently.
- Enter independentlyObservedGestureIds, using the field meanings and rules below, then run the tool.
- Read result.minimalObservedPeriod, result.completeObservedCycles, result.trailingObservedTokens. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| independentlyObservedGestureIds | Independently observed gesture ids; caller assertion or measurement requiring independent evidence | list of string | Required |
Enter a nonempty ordered list of nonblank hand-pattern tokens. Test candidate period k from 1 through list length and choose the first with token_i=token_(i mod k) for every observed position. Return k, floor(n/k) complete cycles and n mod k trailing tokens. The last cycle may be partial; token equality is exact and no hand motions are inferred.
period=min{k:∀i token_i=token_(i mod k)}; fullCycles=floor(n/period) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured calculation or selected reference, with fields listed below | object |
| result.minimalObservedPeriod | Minimal Observed Period; follow the units, sign, ordering and evidence convention stated above | number |
| result.completeObservedCycles | Complete Observed Cycles; follow the units, sign, ordering and evidence convention stated above | number |
| result.trailingObservedTokens | Trailing Observed Tokens; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"independentlyObservedGestureIds": [
"clap",
"tap",
"clap",
"tap",
"clap"
]
},
"output": {
"result": {
"minimalObservedPeriod": 2,
"completeObservedCycles": 2,
"trailingObservedTokens": 1
}
}
}Limitations and assumptions
A partial final cycle can still fit a period, but a finite sequence does not prove future repetition. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Hopscotch Court Design Regional Grid Lookup for this related task: Hopscotch combines hopping with a marked court and a locally defined sequence of moves.
Use Hide and Seek Home Base Region Variant Lookup when its separate inputs and assumptions fit the question: A home base in hide-and-seek changes the rules for pursuit, safety or scoring.
References
Similar or alternative tools
- Hopscotch Court Design Regional Grid Lookup
Hopscotch combines hopping with a marked court and a locally defined sequence of moves.
- Hide and Seek Home Base Region Variant Lookup
A home base in hide-and-seek changes the rules for pursuit, safety or scoring.