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Painting Grid Transfer Square Size Tool

Calculate painting grid transfer square size from explicit caller-supplied inputs.

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Description

Return drawing-grid scale from source and target widths.

Artwork measurements distinguish physical dimensions, projected regions and scale conventions. Length, area and volume change with different powers of a scale, while frame overlaps and crop geometry depend on which boundaries were measured. A numerical fit does not identify an artwork or establish its historical interpretation.

Return drawing-grid scale from source and target widths.

When to use this tool

Use Painting Grid Transfer Square Size when checking the stated artwork dimension, crop, frame or scale relation.

How to use the tool and how it works

  1. Enter sourceCell, sourceWidth, targetWidth. 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 scale, targetCell. Use the output convention below.

Return drawing-grid scale from source and target widths. Require sourceWidth > 0 and sourceCell/targetWidth >= 0; scale = target/source, targetCell = sourceCell*scale.1

Input fieldMeaning and unitsAccepted input
sourceCellSource CellRequired. Finite number; minimum 0.
sourceWidthSource WidthRequired. Finite number; strictly above 0.
targetWidthTarget WidthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
scaleScaleRequired. Finite number.
targetCellTarget CellRequired. Finite number.
json
{
  "input": {
    "sourceCell": 2,
    "sourceWidth": 20,
    "targetWidth": 100
  },
  "output": {
    "scale": 5,
    "targetCell": 10
  }
}

Limitations and assumptions

  • Lengths need compatible bases; this does not infer grid placement, perspective or historical transfer methods.
  • 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

Inspect the original object, measured boundaries and appropriate complete geometry or catalog record for physical or historical conclusions.

References

  1. Calculation and input contract: art-history/painting-grid-transfer-square-size — tool.io

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