Rubik Cube 54 Facelets Check
Audit 54 face labels, nine of each color and distinct six block-center colors; basic inventory only, not cubie orientation/permutation or physically reachable Rubik state.
Description
A Rubik’s Cube sticker inventory check can test color counts and center uniqueness.
A Rubik’s Cube sticker inventory check can test color counts and center uniqueness. Those tests are weaker than solvability.1
Enter 54 uppercase URFDLB stickers in six nine-sticker face blocks. Return letter counts, center checks and combined inventory validity.
When to use Rubik Cube 54 Facelets Check
Use Rubik Cube 54 Facelets Check when you need to evaluate the supplied records under the calculation and evidence rules below. No cubie orientation, permutation parity or reachable-state check is performed.
Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
How to use Rubik Cube 54 Facelets Check and understand its results
- Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
- Enter faceletString using the field table and calculation rules, then run the tool.
- Read observedFaceletCount, basicNinePerColorInventoryValid, sixCenterColorsDistinct. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| faceletString | Facelet string | string | Required |
Enter 54 uppercase URFDLB stickers in six nine-sticker face blocks. Return letter counts, center checks and combined inventory validity.
countsValid=each face letter appears9 times; centersValid=6 distinct centers Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedFaceletCount | Observed facelet count | number |
| basicNinePerColorInventoryValid | Basic nine per color inventory valid | boolean |
| sixCenterColorsDistinct | Six center colors distinct | boolean |
{
"input": {
"faceletString": "UUUUUUUUURRRRRRRRRFFFFFFFFFDDDDDDDDDLLLLLLLLLBBBBBBBBB"
},
"output": {
"observedFaceletCount": 54,
"basicNinePerColorInventoryValid": true,
"sixCenterColorsDistinct": true
}
}Limitations and assumptions
No cubie orientation, permutation parity or reachable-state check is performed.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Extremely large text inputs are rejected. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use SET Card All-Same-or-All-Different Check: A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule. For a complementary task, use Kakuro Row Sum Distinct Digits Check: A Kakuro run uses distinct digits 1–9. Unknown cells can be checked by enumerating remaining digit combinations.
References
-
Rubik Cube 54 Facelets Check — tool.io
Similar or alternative tools
- SET Card All-Same-or-All-Different Check
A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule.
- Kakuro Row Sum Distinct Digits Check
A Kakuro run uses distinct digits 1–9. Unknown cells can be checked by enumerating remaining digit combinations.