Union Jack Geometry Proportion Solver
Scale explicit independently verified Union Jack cross/saltire perpendicular widths; reports geometry only, not complete counterchanged offset orientation, clipping, official construction or a generated compliant image.
Description
Union Jack geometry involves central cross and diagonal saltire widths as well as their arrangement.
Union Jack geometry involves central cross and diagonal saltire widths as well as their arrangement.1
This tool scales independently verified perpendicular-width fractions and reports the diagonal centerline slope.
When to use Union Jack Geometry Proportion Solver
Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
How to use Union Jack Geometry Proportion Solver and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter hoist, fly, callerVerifiedCentralRedCrossWidthFraction, callerVerifiedCentralWhiteCrossWidthFraction, callerVerifiedDiagonalWhiteWidthFraction, callerVerifiedDiagonalRedWidthFraction, following the field table and rules below, then run the tool.
- Read result. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| hoist | Hoist | number | Required |
| fly | Fly | number | Required |
| callerVerifiedCentralRedCrossWidthFraction | Caller verified central red cross width fraction | number | Required |
| callerVerifiedCentralWhiteCrossWidthFraction | Caller verified central white cross width fraction | number | Required |
| callerVerifiedDiagonalWhiteWidthFraction | Caller verified diagonal white width fraction | number | Required |
| callerVerifiedDiagonalRedWidthFraction | Caller verified diagonal red width fraction | number | Required |
Enter positive hoist and fly dimensions, each at most one billion in a single length unit. All four width fractions must be between zero and one, with each red width fraction no larger than its white envelope. Multiply each fraction by hoist; report hoist/fly as centerline slope. Offsets and counterchanging require the full construction specification.
bandWidth=H×verifiedFraction; diagonalSlope=H/F Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.centralRedWidth | Central Red Width | number |
| result.centralWhiteWidth | Central White Width | number |
| result.diagonalWhiteWidth | Diagonal White Width | number |
| result.diagonalRedWidth | Diagonal Red Width | number |
| result.diagonalCenterlineSlope | Diagonal Centerline Slope | number |
{
"input": {
"hoist": 30,
"fly": 60,
"callerVerifiedCentralRedCrossWidthFraction": 0.2,
"callerVerifiedCentralWhiteCrossWidthFraction": 0.3333333333333333,
"callerVerifiedDiagonalWhiteWidthFraction": 0.2,
"callerVerifiedDiagonalRedWidthFraction": 0.06666666666666667
},
"output": {
"result": {
"centralRedWidth": 6,
"centralWhiteWidth": 10,
"diagonalWhiteWidth": 6,
"diagonalRedWidth": 2,
"diagonalCenterlineSlope": 0.5
}
}
}Limitations and assumptions
The calculation uses supplied geometry, observations, or annotations. It does not establish an official construction specification, national identity, or universal design quality.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related review, use Saltire Arm Width Proportion Solver: A saltire follows the diagonals of the actual flag rectangle. Its centerline angle changes with aspect ratio, while its perpendicular arm width can be scaled from a verified hoist fraction. For a complementary step, use Fimbriation Stripe Width Rule Calculator: Fimbriation adds a border on both sides of an inner stripe. Comparing the resulting outer width with a declared envelope makes an overrun visible as a negative remaining width.
References
-
Union Jack Geometry Proportion Solver — tool.io
Similar or alternative tools
- Saltire Arm Width Proportion Solver
A saltire follows the diagonals of the actual flag rectangle. Its centerline angle changes with aspect ratio, while its perpendicular arm width can be scaled from a verified hoist fraction.
- Fimbriation Stripe Width Rule Calculator
Fimbriation adds a border on both sides of an inner stripe. Comparing the resulting outer width with a declared envelope makes an overrun visible as a negative remaining width.