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Collage Overlap Visible Area Term Tool

Calculate collage overlap visible area term from explicit caller-supplied inputs.

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Description

Subtract overlap from bottomArea for visibleBottom and from bottomArea+topArea for visibleTotal, requiring nonnegative overlap no larger than either area.

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.

Subtract overlap from bottomArea for visibleBottom and from bottomArea+topArea for visibleTotal, requiring nonnegative overlap no larger than either area.

When to use this tool

Use Collage Overlap Visible Area Term 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 bottomArea, topArea, overlap. 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 visibleBottom, visibleTotal. Use the output convention below.

Subtract overlap from bottomArea for visibleBottom and from bottomArea+topArea for visibleTotal, requiring nonnegative overlap no larger than either area.1

Input fieldMeaning and unitsAccepted input
bottomAreaBottom AreaRequired. Finite number.
topAreaTop AreaRequired. Finite number.
overlapOverlapRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
visibleBottomVisible BottomRequired. Finite number.
visibleTotalVisible TotalRequired. Finite number.
json
{
  "input": {
    "bottomArea": 100,
    "topArea": 60,
    "overlap": 20
  },
  "output": {
    "visibleBottom": 80,
    "visibleTotal": 140
  }
}

Limitations and assumptions

  • Overlap is already supplied and the top piece is assumed fully visible. The tool does not derive geometric intersection, handle more than two pieces, or assess visual composition.
  • 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/collage-overlap-visible-area-term — tool.io

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