Polybius Square Coordinate Lookup

Lookup one caller-defined Polybius cell with one-based row/column, no automatic I/J merge. Classical educational encoding only; not secure encryption, no hidden normalization or inferred key.

Description

A Polybius square maps symbols to row and column coordinates.

A Polybius square maps symbols to row and column coordinates.1

The caller's exact square determines those coordinates without an implicit I/J merge. Use Polybius Square Coordinate Lookup to evaluate the supplied inputs under the specific model below.

When to use Polybius Square Coordinate Lookup

Use Polybius Square Coordinate Lookup to evaluate the supplied inputs under the specific model below. Choose the intended encoding, alphabet or check and keep the exact character, key and measurement conventions described below.

How to use Polybius Square Coordinate Lookup and understand its results

  1. Choose the intended encoding, alphabet or check and keep the exact character, key and measurement conventions described below.
  2. Enter Caller square, Query letter using the field table and validation rules below, then run the tool.
  3. Read Row one based, Column one based and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
callerSquareCaller squarestringRequired; constraints below
queryLetterQuery letterstringRequired; constraints below

Enter a 25-symbol permutation of distinct uppercase ASCII letters or digits and one symbol present in it. Return floor(index/5)+1 for row and index mod 5+1 for column. Coordinates are one based; the supplied alphabet controls any omitted letter and no I/J merging occurs.

row = floor(symbolIndex/5)+1; column = symbolIndex mod 5+1

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
rowOneBasedRow one basednumber
columnOneBasedColumn one basednumber
json
{
  "input": {
    "callerSquare": "ABCDEFGHIKLMNOPQRSTUVWXYZ",
    "queryLetter": "H"
  },
  "output": {
    "rowOneBased": 2,
    "columnOneBased": 3
  }
}

Limitations and assumptions

The caller's exact square determines those coordinates without an implicit I/J merge. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use Bifid Cipher Tool for a related task: Bifid fractionates symbols through two-dimensional coordinates within blocks.

Use Nihilist Substitution Tool for a related task: Nihilist substitution adds coordinate numbers for message and key symbols.

References

  1. Polybius Square Coordinate Lookup — tool.io

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