Fastest Rubik Cube Solver Calculator

Face turns only, in Singmaster notation: U D L R F B, with ' for anticlockwise and 2 for a half turn. Applied to a solved cube in the standard white-up, green-front frame.
Read the faces in the order U, R, F, D, L, B; each face left to right, top to bottom, 9 letters per face. Use the letter of the face whose centre carries that colour.
Solution
R U2 R' U' R U' R'
Rubik's Cube Solver
Solution length (half-turn metric)
7
Solution length (quarter-turn metric)
8
Solution replayed and checked
yes
State is legal
yes
Already solved
no
Cube state (54 facelets, URFDLB)
FUUUUURUBULLRRRRRRUFLFFFFFFDDDDDDDDDUBBLLLLLLFRRBBBBBB
Inverse of the scramble
R U2 R' U' R U' R'
Scramble length (half-turn metric)
7
Order of the scramble (repeats to return to solved)
6
Corners in their home slot
4
Edges in their home slot
9
Corners twisted
3
Edges flipped
0
Cubies fully solved (of 20)
13
Permutation parity
even
Worked out from Morwen B. Thistlethwaite, 45-52 move strategy for the Rubik's Cube (subgroup chain G0 > G1 > G2 > G3 > G4) and 3 other sources.

How this is worked out

9 steps
  1. Apply the 7-move scramble to a solved cube.
  2. Read the state: 4 of 8 corners and 9 of 12 edges are in their home slot; 3 corners are twisted and 0 edges are flipped.
  3. Check the three laws of the cube: total corner twist is 0 mod 3, total edge flip is 0 mod 2, and the corner and edge permutations have the same parity. All three hold, so the state is reachable by legal turns.
  4. Phase 1 (to G1: orient edges): already there
  5. Phase 2 (to G2: orient corners, place the E-slice): R U2 R' U' R U' R
  6. Phase 3 (to G3: place every cubie in its orbit): already there
  7. Phase 4 (to solved: double turns only): R2
  8. Cancel turns of the same face where they meet, giving 7 moves (8 quarter turns): R U2 R' U' R U' R'
  9. Replay the solution on the entered state: the cube comes out solved.
Moves used in each Thistlethwaite phasetable
Phase 1 (to G1: orient edges): already there, Phase 2 (to G2: orient corners, place the E-slice): R U2 R' U' R U' R, Phase 3 (to G3: place every cubie in its orbit): already there, Phase 4 (to solved: double turns only): R2

Results are general information, not financial, tax, legal, medical or engineering advice.