Southern Cross Star Placement Coordinate Generator
Generate Southern Cross centers from an independently verified named flag specification, normalized top-left coordinates. Country-specific star inventories/angles are not fabricated or replaced by an astronomical projection.
Description
Southern Cross flag layouts use specification-specific star positions.
Southern Cross flag layouts use specification-specific star positions.1
Scaling verified normalized centers preserves those positions without substituting an astronomical projection.
When to use Southern Cross Star Placement Coordinate Generator
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 Southern Cross Star Placement Coordinate Generator and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter hoist, fly, callerVerifiedStarIds, callerVerifiedNormalizedPoints, 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 |
| fly | Fly | number | Required |
| callerVerifiedStarIds | Caller verified star ids | list of string | Required |
| callerVerifiedNormalizedPoints | Caller verified normalized points | numeric matrix | Required |
Enter positive fly and hoist dimensions no greater than one billion, unique nonblank star IDs, and aligned two-column points in the closed unit square. Scale x by fly and y by hoist in a top-left, y-down coordinate frame.
center_i=(normalizedX_i×F, normalizedY_i×H) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.starIds | Star Ids | list |
| result.starCenters | Star Centers | numeric matrix |
{
"input": {
"hoist": 100,
"fly": 200,
"callerVerifiedStarIds": [
"alpha",
"beta"
],
"callerVerifiedNormalizedPoints": [
[
0.5,
0.25
],
[
0.75,
0.6
]
]
},
"output": {
"result": {
"starIds": [
"alpha",
"beta"
],
"starCenters": [
[
100,
25
],
[
150,
60
]
]
}
}
}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. Evidence arrays must be dense, with no missing cells. String lists allow at most 128 strings of at most 128 characters. Numeric matrices are limited to 128 rows and 128 entries per row, with rectangularity required where stated. 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 Circle of Stars Ring Radius Calculator: A circle of star centers must leave room for each star’s radial extent and an edge margin. The available diameter therefore bounds the radius of the center ring.
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.
- Circle of Stars Ring Radius Calculator
A circle of star centers must leave room for each star’s radial extent and an edge margin. The available diameter therefore bounds the radius of the center ring.