Circle of Stars Ring Radius Calculator
Maximum ideal center-ring radius allowing actual radial star extent and caller margin; not an EU or other mandated ring.
Description
A circle of star centers must leave room for each star’s radial extent and an edge margin.
A circle of star centers must leave room for each star’s radial extent and an edge margin.1
The available diameter therefore bounds the radius of the center ring.
When to use Circle of Stars Ring Radius 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 Circle of Stars Ring Radius Calculator and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter availableDiameter, starRadialExtent, callerEdgeMargin, 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 |
|---|---|---|---|
| availableDiameter | Available diameter | number | Required |
| starRadialExtent | Star radial extent | number | Required |
| callerEdgeMargin | Caller edge margin | number | Required |
Use a positive available diameter and nonnegative star extent and margin. Their sum cannot exceed half the diameter. Return the remaining radius; zero is allowed at exact fit.
ringRadius=D/2−starExtent−margin Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.maximumCenterRingRadius | Maximum Center Ring Radius | number |
{
"input": {
"availableDiameter": 80,
"starRadialExtent": 5,
"callerEdgeMargin": 5
},
"output": {
"result": {
"maximumCenterRingRadius": 30
}
}
}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 Sun Ray Count Angular Spacing Calculator: Evenly spaced sun rays divide a full turn into distinct center directions. A chosen start angle sets their rotation without adding a duplicate direction at the end of the circle. For a complementary step, 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.
References
-
Circle of Stars Ring Radius Calculator — tool.io
Similar or alternative tools
- Sun Ray Count Angular Spacing Calculator
Evenly spaced sun rays divide a full turn into distinct center directions. A chosen start angle sets their rotation without adding a duplicate direction at the end of the circle.
- 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.