Diagonal Bend Width Geometry Calculator
Ideal oblique flag band width projected to vertical/horizontal intercept spans; not clipped band area. Angle strictly between0 and 90 degrees.
Description
An oblique band’s perpendicular width differs from its vertical and horizontal intercept spans.
An oblique band’s perpendicular width differs from its vertical and horizontal intercept spans.1
The spans become large near a horizontal or vertical orientation.
When to use Diagonal Bend Width Geometry Calculator
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 Diagonal Bend Width Geometry Calculator and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter bandPerpendicularWidth, angleDegrees, 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 |
|---|---|---|---|
| bandPerpendicularWidth | Band perpendicular width | number | Required |
| angleDegrees | Angle degrees | number | Required |
Use a positive perpendicular width and an angle strictly between zero and ninety degrees. Convert degrees to radians, divide width by absolute cosine for vertical intercept and by absolute sine for horizontal intercept. No rectangular clipping or area calculation occurs.
vertical=w/|cosθ|; horizontal=w/|sinθ| Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.verticalInterceptWidth | Vertical Intercept Width | number |
| result.horizontalInterceptWidth | Horizontal Intercept Width | number |
{
"input": {
"bandPerpendicularWidth": 10,
"angleDegrees": 45
},
"output": {
"result": {
"verticalInterceptWidth": 14.14213562373095,
"horizontalInterceptWidth": 14.142135623730951
}
}
}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
-
Diagonal Bend Width Geometry Calculator — 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.