Rotational Symmetry Order Detector
Highest independently witnessed finite tested rotational order, not complete symmetry group or inference from untested angles; missing tests retained.
Description
A tested rotational order describes how many repeated orientations were independently witnessed.
A tested rotational order describes how many repeated orientations were independently witnessed.1
The largest witnessed tested order is an evidence summary, not discovery of a complete symmetry group.
When to use Rotational Symmetry Order Detector
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 Rotational Symmetry Order Detector and understand its results
- Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
- Enter callerTestedRotationOrders, independentlyWitnessedRotationFlags, rotationKnownFlags, 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 |
|---|---|---|---|
| callerTestedRotationOrders | Caller tested rotation orders | list of number | Required |
| independentlyWitnessedRotationFlags | Independently witnessed rotation flags | list of number | Required |
| rotationKnownFlags | Rotation known flags | list of number | Required |
Enter distinct integer orders from two to sixty-four and aligned binary witnessed and known flags. Return the largest order whose flags are both one, or one when none qualifies. Separately retain orders with unknown tests.
highest=max({1} ∪ {order_i: known_i=1 and witnessed_i=1}) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Calculated observation or reference | object |
| result.highestWitnessedTestedOrder | Highest Witnessed Tested Order | number |
| result.unknownTestedOrders | Unknown Tested Orders | list |
{
"input": {
"callerTestedRotationOrders": [
2,
4,
6
],
"independentlyWitnessedRotationFlags": [
1,
1,
0
],
"rotationKnownFlags": [
1,
1,
0
]
},
"output": {
"result": {
"highestWitnessedTestedOrder": 4,
"unknownTestedOrders": [
6
]
}
}
}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. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related review, use Symmetry Type Classifier (vertical/horizontal/rotational): A flag may exhibit vertical reflection, horizontal reflection, and half-turn symmetry at the same time. This checker keeps every symmetry supported by independent observations. For a complementary step, use Mirror Reversibility Obverse-Reverse Checker: Mirror reversibility compares registered obverse and reverse designs under horizontal reflection. Exact palette grids make that comparison reproducible when both views share the same top and hoist registration.
References
-
Rotational Symmetry Order Detector — tool.io
Similar or alternative tools
- Symmetry Type Classifier (vertical/horizontal/rotational)
A flag may exhibit vertical reflection, horizontal reflection, and half-turn symmetry at the same time. This checker keeps every symmetry supported by independent observations.
- Mirror Reversibility Obverse-Reverse Checker
Mirror reversibility compares registered obverse and reverse designs under horizontal reflection. Exact palette grids make that comparison reproducible when both views share the same top and hoist registration.