Quartered Field Quadrant Area Calculator
Actual rectangular flag quadrant areas in viewer row-major order, not assume equal quarters for off-center splits.
Description
Off-center vertical and horizontal splits produce four unequal rectangular quadrants.
Off-center vertical and horizontal splits produce four unequal rectangular quadrants.1
Reporting their areas in viewer row order preserves the layout being measured.
When to use Quartered Field Quadrant Area 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 Quartered Field Quadrant Area Calculator and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter fly, hoist, verticalSplitX, horizontalSplitY, 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 |
|---|---|---|---|
| fly | Fly | number | Required |
| hoist | Hoist | number | Required |
| verticalSplitX | Vertical split x | number | Required |
| horizontalSplitY | Horizontal split y | number | Required |
Use positive fly and hoist with split coordinates inside their closed ranges. Return areas in upper-left, upper-right, lower-left, lower-right order. Boundary splits may produce zero-area quadrants.
areas=[xy,(F−x)y,x(H−y),(F−x)(H−y)] Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.quadrantAreas | Quadrant Areas | list |
{
"input": {
"fly": 200,
"hoist": 100,
"verticalSplitX": 80,
"horizontalSplitY": 40
},
"output": {
"result": {
"quadrantAreas": [
3200,
4800,
4800,
7200
]
}
}
}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 Pall Y-Arm Intersection Point Solver: A pall forms a Y-shaped junction with rays toward the hoist corners and fly midpoint. A verified normalized junction determines the centerline coordinates and vectors. For a complementary step, use Flag Aspect Ratio Checker: Flag proportions conventionally distinguish hoist from fly. Comparing the observed hoist-to-fly ratio with a verified reference exposes the signed shape discrepancy.
References
-
Quartered Field Quadrant Area Calculator — tool.io
Similar or alternative tools
- Pall Y-Arm Intersection Point Solver
A pall forms a Y-shaped junction with rays toward the hoist corners and fly midpoint. A verified normalized junction determines the centerline coordinates and vectors.
- Flag Aspect Ratio Checker
Flag proportions conventionally distinguish hoist from fly. Comparing the observed hoist-to-fly ratio with a verified reference exposes the signed shape discrepancy.