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Frame Mat Opening Clearance Tool

Return equal-side opening clearances; negative values indicate deliberate overlap.

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Description

Return equal-side opening clearances; negative values indicate deliberate overlap.

Studio measurements translate a design into lengths, areas, volumes, angles, proportions, and material quantities. Consistent units and an explicit geometric model make the calculation interpretable. Real materials, fabrication allowances, visual judgments, and installation conditions require information beyond a geometric term.

Return equal-side opening clearances; negative values indicate deliberate overlap.

When to use this tool

Use Frame Mat Opening Clearance when you need a geometric or material-budget term for a supplied studio design before checking real material and installation conditions.

How to use the tool and how it works

  1. Enter openingWidth, openingHeight, artworkWidth, artworkHeight. 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 horizontal, vertical. Use the output convention below.

Return horizontal=(openingWidth-artworkWidth)/2 and vertical=(openingHeight-artworkHeight)/2, requiring nonnegative dimensions.1

Input fieldMeaning and unitsAccepted input
openingWidthOpening WidthRequired. Finite number.
openingHeightOpening HeightRequired. Finite number.
artworkWidthArtwork WidthRequired. Finite number.
artworkHeightArtwork HeightRequired. Finite number.
Output fieldInterpretationReturned shape
horizontalHorizontalRequired. Finite number.
verticalVerticalRequired. Finite number.
json
{
  "input": {
    "openingWidth": 20,
    "openingHeight": 30,
    "artworkWidth": 18,
    "artworkHeight": 28
  },
  "output": {
    "horizontal": 1,
    "vertical": 1
  }
}

Limitations and assumptions

  • Negative values indicate centered overlap rather than positive clearance. The calculation does not determine a mounting allowance, artwork expansion, conservation requirements, or whether the display is appropriate.
  • The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
  • 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. Signed zero is exported as zero.

Alternative or Complementary methods

Use measured material allowances and a complete drawing or fabrication model when physical behavior matters. The supplied geometric term can be one input to that separate process.

References

  1. Calculation and input contract: visual-arts/frame-mat-opening-clearance — tool.io

Similar or alternative tools

  • Artwork Mat Reveal Share

    Calculate visibleArea=openingWidth*openingHeight and artworkArea=artWidth*artHeight, then revealedShare=(openingWidth/artWidth)*(openingHeight/artHeight).

  • Mat Board Window Overlap Area

    Subtract twice overlap from artWidth and artHeight for the window dimensions and return hiddenArea as artwork area minus window area.