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Rubik's Cube Solver — Solve Any Scrambled 3×3 Cube

Paint your scrambled cube's stickers and get the shortest move sequence to solve it. Watch the solution play out on a 3D cube.

What is rubik's cube solver?

The Rubik’s cube has a reputation as a feat of memorization, but at its core it’s a routing problem — every scrambled state is reachable from solved by some sequence of face turns, and the question is which sequence is shortest. This solver answers that question. Paint the colors of your physical cube into the 2D net, click Solve, and the tool returns a near-optimal move sequence — typically 18 to 22 turns — using standard cubing notation that matches every tutorial, every WCA scramble, and every speedcuber’s vocabulary.

The solver itself is the Kociemba two-phase algorithm, a 1990s breakthrough that found a way to split the impossibly large search space (43 quintillion positions) into two smaller ones connected by a special set of “domino” states. Phase one routes the cube into a constrained subgroup; phase two finishes the solve within that subgroup. The combined search runs in sub-second time on modern hardware while finding solutions within a move or two of the provable optimum. The mathematical optimum is bounded by God’s Number — twenty face turns suffice for any cube state, a result proven by exhaustive computer search in 2010.

A few practical notes for using the tool. Center stickers define orientation: white is always on top, green always faces you, red always on the right, and so on. If your physical cube is oriented differently, just rotate it in your hands before you start painting. The centers in the on-screen net are fixed for that reason — the cube’s center pieces don’t move relative to each other, so allowing them to change would describe a state that can’t physically exist. Speaking of impossible states: the most common reason the solver rejects a cube is a sticker miscount (one color appears eight or ten times instead of nine). The next most common is a single-piece swap, which is a parity violation only achievable by physically pulling the cube apart. The error message points you to the likely culprit so you can re-check.

The 3D cube on the right side mirrors what you paint, so you can verify your entry before solving. After the solver finishes, the 3D cube becomes a playback view — press Play to watch the solution animate, or step through one move at a time to follow along on your physical cube. The animation is purely a teaching aid; the solution itself is the move list. You can copy it to your clipboard and read along on a piece of paper if you prefer the old-school approach.

Privacy: every byte of computation runs in your browser. The colors you paint, the solution you receive, the scrambles you generate — none of it leaves the page. The site does carry a discreet display ad on tool pages to keep them free; that’s the only third-party network the page touches.

When to use a rubik's cube solver

  • Scrambled and out of ideas — Paint each face of your physical cube into the on-screen net, click Solve, and follow the move list. The animation on the 3D cube confirms you have the orientation right before you start turning.
  • Verify a partial solve — Halfway through a solve and stuck? Paint the current state, get the remaining moves. Useful for learners who can finish the cross and F2L but lose track during OLL/PLL.
  • Generate practice scrambles — Click Scramble for a random valid 20-move state, then time yourself solving it physically. The solution is always one click away as a reference.

How to use the Rubik's Cube Solver — Solve Any Scrambled 3×3 Cube

  1. Paint each face's sticker colorsPick a color from the palette, then tap stickers on the 2D net to paint. Center stickers are fixed — they define which face is which. Use the 3D preview to confirm orientation.
  2. Click SolveThe solver runs Kociemba's two-phase algorithm and returns a near-optimal move sequence (typically ~20 moves). If your sticker entry is wrong, you'll see a clear error pointing to the issue.
  3. Follow the moves on your physical cubeMoves use standard WCA notation: R = right face clockwise, R' = counter-clockwise, R2 = 180°. Press Play to animate the solution on the 3D cube alongside, or step through one move at a time.

Worked examples

Single-move scramble

Input:  Solved cube with U turned once (top layer rotated 90° clockwise).
Output: Solver returns U' — one move to undo.

The simplest possible solve. Useful as a sanity test of the painting flow.

Six-move scramble

Input:  R U R' U' F2 L applied to a solved cube.
Output: Solver returns a 6–10 move solution that exactly undoes the scramble.

Demonstrates that the solver may find a shorter path than the literal inverse of the scramble.

Random 20-move scramble

Input:  Click Scramble — generates a fresh random state.
Output: Typical solution length is 18–22 moves.

Kociemba is near-optimal; provably-optimal solutions average ~17.7 moves but cost vastly more compute.

Frequently asked questions

What notation does the solver use?
Standard WCA notation. R means turn the right face clockwise (when looking at it from outside the cube). R' ("R prime") is counter-clockwise. R2 is a 180° turn. The same applies to U (up), F (front), D (down), L (left), and B (back).
What if my cube's center colors are different?
The tool uses the standard WCA color scheme: white on top, yellow on bottom, green facing you, blue away, red right, orange left. If your physical cube is oriented differently, rotate it in your hands until the centers match before painting. Center stickers are fixed in the painter — you can't change them.
Why does it say my cube is unsolvable?
Two reasons usually. First, sticker miscounts — verify each color appears exactly nine times. Second, an impossible permutation: a real cube can't have just two corners or two edges swapped. If you painted from a photo or guessed a sticker, double-check the corners and edges. The error message highlights the most likely culprit.
How long is the solution?
Typically 18–22 moves. The Kociemba two-phase algorithm we use is near-optimal — it almost always finds a solution within a few moves of the proven minimum (which is at most 20 moves for any 3×3 state, the so-called "God's Number").
Does the solver run on your servers?
No. The entire solver, the 3D cube, and your sticker entry stay in your browser. The page makes no network calls related to solving. The 3D viewer and solver bundle (about 135 KB compressed) downloads when you first visit the page and is cached for return visits.
How fast is the solve?
First solve takes ~300–700 ms because the solver builds its pruning tables on first use. Subsequent solves are typically 50–200 ms. On a slow phone, expect double those times.
Why are center stickers fixed?
On a physical 3×3, the centers don't move relative to each other — they're attached to the inner core. White is always opposite yellow, red opposite orange, blue opposite green. Letting users change centers would let them describe a cube that can't physically exist.
Can I solve other puzzle types here?
Not yet. This solver is 3×3 only. 2×2, 4×4, megaminx, pyraminx, and skewb may follow if there's interest, but each requires a different solving algorithm and a different painting UI.