US Canton Stripe Height Fraction Calculator
Ideal US13equal-stripe model canton height7stripes; not complete manufacturing tolerances, star field or official fabric certification.
Description
In the ideal equal-stripe US flag model, the canton height spans seven of the thirteen stripe heights.
In the ideal equal-stripe US flag model, the canton height spans seven of the thirteen stripe heights.1
Scaling that construction from a supplied hoist gives stripe and canton heights in the same unit.
When to use US Canton Stripe Height Fraction 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 US Canton Stripe Height Fraction Calculator and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter hoist, 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 |
Enter a positive hoist dimension. Divide it by thirteen for stripe height, multiply by seven for canton height, and return the fixed canton-to-hoist fraction. Width, stars, and manufacturing tolerances are outside this calculation.
stripeHeight=H/13; cantonHeight=7H/13 Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.stripeHeight | Stripe Height | number |
| result.cantonHeight | Canton Height | number |
| result.cantonHoistFraction | Canton Hoist Fraction | number |
{
"input": {
"hoist": 130
},
"output": {
"result": {
"stripeHeight": 10,
"cantonHeight": 70,
"cantonHoistFraction": 0.5384615384615384
}
}
}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 Star Grid Row Spacing Calculator: Equal-cell star rows place centers halfway inside each cell, leaving half a cell at the upper and lower edges. The row count and available canton height determine the spacing. For a complementary step, use Stripes-and-Canton Family Checker: A stripes-and-canton pattern combines horizontal stripes with a separately identified canton. This checker reviews those annotations without assigning official membership or national identity.
References
Similar or alternative tools
- Star Grid Row Spacing Calculator
Equal-cell star rows place centers halfway inside each cell, leaving half a cell at the upper and lower edges. The row count and available canton height determine the spacing.
- Stripes-and-Canton Family Checker
A stripes-and-canton pattern combines horizontal stripes with a separately identified canton. This checker reviews those annotations without assigning official membership or national identity.