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Print Border Aspect Gap Tool

Calculate print border aspect gap from explicit caller-supplied inputs.

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Description

Return outerAspect=outerWidth/outerHeight, imageAspect=imageWidth/imageHeight, and gap=outerAspect-imageAspect.

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 outerAspect=outerWidth/outerHeight, imageAspect=imageWidth/imageHeight, and gap=outerAspect-imageAspect.

When to use this tool

Use Print Border Aspect Gap 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 outerWidth, outerHeight, imageWidth, imageHeight. 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 outerAspect, imageAspect, gap. Use the output convention below.

Return outerAspect=outerWidth/outerHeight, imageAspect=imageWidth/imageHeight, and gap=outerAspect-imageAspect. Require positive heights, nonnegative image width, and image dimensions fitting the corresponding outer dimensions.1

Input fieldMeaning and unitsAccepted input
outerWidthOuter WidthRequired. Finite number.
outerHeightOuter HeightRequired. Finite number; strictly above 0.
imageWidthImage WidthRequired. Finite number; minimum 0.
imageHeightImage HeightRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
outerAspectOuter AspectRequired. Finite number.
imageAspectImage AspectRequired. Finite number.
gapGapRequired. Finite number.
json
{
  "input": {
    "outerWidth": 12,
    "outerHeight": 8,
    "imageWidth": 8,
    "imageHeight": 8
  },
  "output": {
    "outerAspect": 1.5,
    "imageAspect": 1,
    "gap": 0.5
  }
}

Limitations and assumptions

  • The gap compares aspect ratios, not border widths or centering. Orientation, cropping, and a preferred mat design are not inferred from the dimensions.
  • 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/print-border-aspect-gap — tool.io

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