Saltire Arm Width Proportion Solver
Saltire diagonal centerline angle and verified perpendicular arm width on actual aspect ratio, not force45 degrees or assume a national spec.
Description
A saltire follows the diagonals of the actual flag rectangle.
A saltire follows the diagonals of the actual flag rectangle.1
Its centerline angle changes with aspect ratio, while its perpendicular arm width can be scaled from a verified hoist fraction.
When to use Saltire Arm Width 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 Saltire Arm Width Proportion Solver and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter hoist, fly, verifiedArmFractionOfHoist, 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 |
| verifiedArmFractionOfHoist | Verified arm fraction of hoist | number | Required |
Enter positive hoist and fly and a width fraction from zero to one inclusive. Multiply hoist by the fraction; convert atan2(hoist,fly) from radians to degrees.
width=H×fraction; angle=atan2(H,F)×180/π Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.perpendicularArmWidth | Perpendicular Arm Width | number |
| result.saltireAngleDegrees | Saltire Angle Degrees | number |
{
"input": {
"hoist": 100,
"fly": 200,
"verifiedArmFractionOfHoist": 0.1
},
"output": {
"result": {
"perpendicularArmWidth": 10,
"saltireAngleDegrees": 26.56505117707799
}
}
}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 Union Jack Geometry Proportion Solver: Union Jack geometry involves central cross and diagonal saltire widths as well as their arrangement. This tool scales independently verified perpendicular-width fractions and reports the diagonal centerline slope. For a complementary step, use Diagonal Bend Width Geometry Calculator: An oblique band’s perpendicular width differs from its vertical and horizontal intercept spans. The spans become large near a horizontal or vertical orientation.
References
-
Saltire Arm Width Proportion Solver — tool.io
Similar or alternative tools
- Union Jack Geometry Proportion Solver
Union Jack geometry involves central cross and diagonal saltire widths as well as their arrangement. This tool scales independently verified perpendicular-width fractions and reports the diagonal centerline slope.
- Diagonal Bend Width Geometry Calculator
An oblique band’s perpendicular width differs from its vertical and horizontal intercept spans. The spans become large near a horizontal or vertical orientation.