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Fastest Rubik Cube Solver Calculator

Rubik's Cube Solver works out Solution and Solution length (half-turn metric) from Scramble sequence and Sticker colours (54 facelets). The default figures on this page give solution of R U2 R' U' R U' R'; change any entry and the result, the working and the sources update together.

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.

Your figures

Updates as you type
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.

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

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
Morwen B. Thistlethwaite, 45-52 move strategy for the Rubik's Cube (subgroup chain G0 > G1 > G2 > G3 > G4)
The four-stage coset search implemented here, with the standard coset sizes 2048, 1082565, 29400 and 663552.
Herbert Kociemba, Cube Explorer documentation: cubie-level cube model, facelet layout and move tables
Corner order URF..DRB, edge order UR..BR, facelet order U1..U9 R1..R9 F1..F9 D1..D9 L1..L9 B1..B9, and the six face-turn permutations used verbatim.
David Singmaster, Notes on Rubik's Magic Cube
5th ed., 1981 · Standard face-turn notation, the three laws governing legal cube states, and the orders of short move sequences.
Michael Reid, superflip in 20 face turns, Cube Lovers mailing list, January 1995
The 20-move maneuver used as a ground-truth state in which all 12 edges are flipped in place.

What the Rubik's Cube Solver calculates

Analyses a Rubik's cube state from a scramble or sticker colours, checks it against the three cube laws, and solves any legal position with a four-stage Thistlethwaite descent, verifying the solution by replaying it before answering.

How to use this Rubik's Cube Solver

Enter Scramble sequence and Sticker colours (54 facelets). Solution updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Solution, Solution length (half-turn metric) and Solution length (quarter-turn metric).

The method follows Morwen B. Thistlethwaite, 45-52 move strategy for the Rubik's Cube (subgroup chain G0 > G1 > G2 > G3 > G4), Herbert Kociemba, Cube Explorer documentation: cubie-level cube model, facelet layout and move tables, David Singmaster, Notes on Rubik's Magic Cube and Michael Reid, superflip in 20 face turns, Cube Lovers mailing list, January 1995.

Superflip: every edge flipped in place, the most distant position from solved example

With mode: scramble, Scramble sequence: U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2, the calculator returns State is legal: yes, Solution replayed and checked: yes. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Solution, Solution length (half-turn metric) and Solution length (quarter-turn metric). The inputs you can vary are Scramble sequence and Sticker colours (54 facelets).

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

What are the 7 steps to solve a Rubik's cube?

On the figures this page opens with, the solution is R U2 R' U' R U' R'. No single number fits everyone: it follows Scramble sequence and Sticker colours (54 facelets), so enter your own above and the answer updates as you type.

How can I solve Rubik's cube easily?

Analyses a Rubik's cube state from a scramble or sticker colours, checks it against the three cube laws, and solves any legal position with a four-stage Thistlethwaite descent. Open “How this is worked out” beside the result to see each step for your own figures.

What is the easiest trick to solve a Rubik's cube?

It needs Scramble sequence and Sticker colours (54 facelets). Nothing else is required, and the figures stay in your browser.

What are the steps to solve a Rubik's cube?

The result gives Solution, Solution length (half-turn metric), Solution length (quarter-turn metric), Solution replayed and checked, State is legal and Already solved, each labelled with its unit so the figure can be read on its own.

What information do I need for the Rubik's Cube Solver?

You need Scramble sequence and Sticker colours (54 facelets). The page opens with default figures that give solution of R U2 R' U' R U' R', so you can see the scale before entering your own.

What does this Rubik's Cube Solver show?

It shows Solution, Solution length (half-turn metric), Solution length (quarter-turn metric), Solution replayed and checked, State is legal, Already solved, Cube state (54 facelets, URFDLB) and Inverse of the scramble, with the working and any warnings for your entries.

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