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Mural Team Panel Area Allocation Tool

Calculate mural team panel area allocation from explicit caller-supplied inputs.

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Description

Return one mural team's weighted area and waste-adjusted material area.

Studio material calculations distinguish gross stock, usable material, finished area and losses. A loss fraction can refer to material removed from the starting quantity or an extra allowance added to a requirement; these conventions produce different formulas and must remain explicit.

Return one mural team's weighted area and waste-adjusted material area.

When to use this tool

Use Mural Team Panel Area Allocation when checking the stated studio material, shrinkage or usable-area convention.

How to use the tool and how it works

  1. Enter totalArea, weights, team, wasteFraction. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read finishedArea, materialArea. Use the output convention below.

Return one mural team's weighted area and waste-adjusted material area. Require nonnegative total/weights with positive weight sum, valid team index and wasteFraction in [0,1); finished = total*teamWeight/sum, material = finished/(1-waste).1

Input fieldMeaning and unitsAccepted input
totalAreaTotal AreaRequired. Finite number; minimum 0.
weightsSupplied weights; any normalization and alignment conditions are stated above.Required. Array of finite number; maximum items 256.
teamTeamRequired. Safe integer; minimum 0.
wasteFractionLost fraction of starting material; materialArea=finishedArea/(1-wasteFraction).Required. Finite number; minimum 0; strictly below 1.
Output fieldInterpretationReturned shape
finishedAreaFinished AreaRequired. Finite number.
materialAreaMaterial AreaRequired. Finite number.
json
{
  "input": {
    "totalArea": 100,
    "weights": [
      1,
      2,
      1
    ],
    "team": 1,
    "wasteFraction": 0.2
  },
  "output": {
    "finishedArea": 50,
    "materialArea": 62.5
  }
}

Limitations and assumptions

  • Waste is the fraction of purchased material lost, not an additive extra fraction; actual team needs and surface geometry are not verified.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use measured material behavior, actual offcuts and process-specific trials to plan fabrication or firing; review classroom conditions with qualified staff.

References

  1. Calculation and input contract: art-education/mural-team-panel-area-allocation — tool.io

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