Description
Return each radius×angle arc and (secondRadius-firstRadius)×angle gap.
Angle-based pattern calculations distinguish linear intake, chord, arc and unoriented grain direction. Degrees and radians are not interchangeable, and a local geometric relationship does not model fabric deformation or three-dimensional fit.
Return each radius×angle arc and (secondRadius-firstRadius)×angle gap.
When to use this tool
Use Dart Rotation Seam Length Gap when you need a stated pattern-angle or arc relationship.
How to use the tool and how it works
- Enter firstRadius, secondRadius, angleRadians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read firstArc, secondArc, lengthGap. Use the output convention below.
Require nonnegative radii and angleRadians. Return each radius×angle arc and (secondRadius-firstRadius)×angle gap.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstRadius | First Radius | Required. Finite number; minimum 0. |
| secondRadius | Second Radius | Required. Finite number; minimum 0. |
| angleRadians | Angle Radians Unit: rad. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| firstArc | First Arc | Required. Finite number. |
| secondArc | Second Arc | Required. Finite number. |
| lengthGap | Length Gap | Required. Finite number. |
{
"input": {
"firstRadius": 10,
"secondRadius": 12,
"angleRadians": 0.2
},
"output": {
"firstArc": 2,
"secondArc": 2.4000000000000004,
"lengthGap": 0.4
}
}Limitations and assumptions
- Angle is radians and arc lengths use common radius units. No actual dart rotation, seam reconstruction or material deformation is performed.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the full pattern geometry and a suitable construction sample when rotation, grain behavior or fit matters. Verify angle units, branch choice and the meaning of intake before applying an identity.
References
Similar or alternative tools
- Dart Intake Rotation Angle Term
Return 2×asin(intake/(2×radius)).
- Dart Leg Length Residual
Return firstLeg-minus-secondLeg.