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Drawing Grid Scale Factor

Describe linear and area scaling between corresponding drawing-grid cells.

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Description

Calculate supplied drawing-grid linear and area scale factors.

Studio records combine critique categories, time allowances, grid scales, nominal storage counts and permission assertions. A linear enlargement factor must be squared for area, while slot counts do not establish safe physical storage. Supplied rubric labels and participation records do not assess learning or artistic quality.

Calculate supplied drawing-grid linear and area scale factors.

When to use this tool

Use Drawing Grid Scale Factor when you already have referenceCellLength, drawingCellLength and need to calculate supplied drawing-grid linear and area scale factors.

How to use the tool and how it works

  1. Enter referenceCellLength, drawingCellLength. 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 linearScale, areaScale. Use the output convention below.

Require both cell lengths>0; linear=drawing/reference and area=linear².1

Input fieldMeaning and unitsAccepted input
referenceCellLengthReference Cell LengthRequired. Finite number; strictly above 0.
drawingCellLengthDrawing Cell LengthRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
linearScaleLinear ScaleRequired. Finite number.
areaScaleSquare of drawing/reference cell-length ratio, assuming uniform scaling in both axes.Required. Finite number.
json
{
  "input": {
    "referenceCellLength": 2,
    "drawingCellLength": 6
  },
  "output": {
    "linearScale": 3,
    "areaScale": 9
  }
}

Limitations and assumptions

  • Lengths need matching units and comparable grid geometry. The area factor assumes uniform scaling in both dimensions; no drawing or perspective is analyzed.
  • 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

Review the actual classroom, materials, work, rubric and permissions. Use complete educational and physical assessment when local labels, counts or duration budgets cannot establish access, suitable instruction or safe studio arrangements.

References

  1. Calculation and input contract: art-education/drawing-grid-scale-factor — tool.io

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