Double-Six Dominoes Total Pips

Audit actual unordered double-six domino inventory for duplicates, total pips and missing tiles rather than a fixed reference total.

Description

A double-six domino inventory treats a tile as an unordered pair.

A double-six domino inventory treats a tile as an unordered pair. A complete set contains all 28 possible pairs.^[1]

Enter a nonempty matrix of integer endpoint pairs 0–6. Reject duplicates including reversed duplicates. Return tile count, pip total, missing count and complete-set flag.

When to use Double-Six Dominoes Total Pips

Use Double-Six Dominoes Total Pips when you need to evaluate the supplied records under the calculation and evidence rules below. No layout, scoring or legal move is evaluated.

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.

How to use Double-Six Dominoes Total Pips and understand its results

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
Enter observedDominoTiles using the field table and calculation rules, then run the tool.
Read observedTileCount, totalObservedPips, missingDoubleSixTileCount, completeDoubleSixSet. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
observedDominoTiles	Observed domino tiles	list of list of number	Required

Enter a nonempty matrix of integer endpoint pairs 0–6. Reject duplicates including reversed duplicates. Return tile count, pip total, missing count and complete-set flag.

pipTotal=sum(two endpoints); missing=28−distinctTileCount

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
observedTileCount	Observed tile count	number
totalObservedPips	Total observed pips	number
missingDoubleSixTileCount	Missing double six tile count	number
completeDoubleSixSet	Complete double six set	boolean

json

{
  "input": {
    "observedDominoTiles": [
      [
        0,
        0
      ],
      [
        1,
        2
      ],
      [
        6,
        6
      ]
    ]
  },
  "output": {
    "observedTileCount": 3,
    "totalObservedPips": 15,
    "missingDoubleSixTileCount": 25,
    "completeDoubleSixSet": false
  }
}

Limitations and assumptions

No layout, scoring or legal move is evaluated.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Matrices are limited to 128 rows and 128 entries per row. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use SET Card All-Same-or-All-Different Check: A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule. For a complementary task, use Rubik Cube 54 Facelets Check: A Rubik’s Cube sticker inventory check can test color counts and center uniqueness. Those tests are weaker than solvability.

References

Double-Six Dominoes Total Pips — tool.io

Similar or alternative tools

SET Card All-Same-or-All-Different Check
A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule.
Rubik Cube 54 Facelets Check
A Rubik’s Cube sticker inventory check can test color counts and center uniqueness. Those tests are weaker than solvability.