Rubik's Cube Solver
Paint the colours of your scrambled physical cube, hit Solve, and follow an animated 3D step-by-step solution. Optimal 20-move solves, instant validation, and zero signups.
Keep your cube in one fixed orientation while you copy its colours — match the centre colours first, then fill each face as you see it.
Note: Cubes with non-standard colour schemes (e.g. Japanese or custom stickerless cubes) may not match the locked centres. Standard scheme: White opposite Yellow, Green opposite Blue, Red opposite Orange.
1. Paint Your Cube
Select a colour, then tap stickers
2. 3D Solution Player
| # | Move | Face | Action | Jump |
|---|---|---|---|---|
| No steps loaded | ||||
A Fast, Free, and Private 3x3 Cube Solver Online
The Rubik's Cube has fascinated millions of problem-solvers since its invention by Ernő Rubik in 1974. With over 43 quintillion possible scrambling combinations, a scrambled cube can feel hopelessly impossible when faced for the first time. Our free online cube solver is built to solve this exact problem: it provides an intuitive, interactive bridge between your real physical puzzle and a mathematically optimal solution, all running directly in your web browser.
Unlike older, ad-cluttered solving websites that freeze your browser or require complex manual notation entry, this tool was engineered from the ground up for modern speed, privacy, and touch devices. Whether you are holding an old cube you haven't touched in years, practicing speedcubing algorithms, or guiding a child through their first complete solve, our 3x3 cube solver delivers an accurate solution in under two seconds.
Two Solving Modes for Every Skill Level
Every cuber approaches the puzzle with different goals. That is why our solver features two distinct solving experiences:
Fast Mode (~20 Moves)
Powered by Herbert Kociemba's renowned two-phase algorithm. It calculates a near-optimal sequence of face turns (typically 20 to 22 moves) in a split second. Fast mode is ideal when you want your physical cube restored immediately without spending twenty minutes memorizing intermediate steps.
Beginner Mode (Layer-by-Layer)
Organized into seven classic human-learnable stages (White Cross, First Layer Corners, Middle Layer Edges, Yellow Cross, Yellow Edges, Yellow Corners, and Corner Twists). Each stage accomplishes a clear, observable goal without breaking earlier progress, making it the perfect training tool for first-time solvers.
How Pre-Solve Validation Catches Impossible Cubes
One of the most frustrating experiences on classic solver websites is typing in your cube's colours only for the program to crash, hang indefinitely, or output an error that makes no sense. On physical Rubik's cubes, pieces can accidentally get twisted during rough turning, or a cube that was taken apart and reassembled may be placed back together illegally.
Mathematically, only 1 in every 12 randomly reassembled cubes is actually solvable by legal turns. The other 11 configurations suffer from one or more physical parity defects:
- Corner Twist Parity (1 in 3 chance): A single corner has been twisted in place. The sum of corner twists must be a multiple of 3. Legal turns always twist corners in pairs of opposite directions.
- Edge Flip Parity (1 in 2 chance): A single edge piece has been inserted backwards. Legal turns always flip edges in pairs; an isolated single flipped edge is physically impossible.
- Permutation Swap Parity (1 in 2 chance): Two corners or two edges have been swapped in isolation. On a legal 3x3 cube, corner permutation parity must always match edge permutation parity. Swapping only two corners or only two edges creates a parity mismatch that cannot be solved by any sequence of legal turns.
- Sticker Count & Piece Integrity: Each of the 6 colors must appear exactly 9 times, and pieces cannot possess duplicate colors or opposite colors (such as White and Yellow on the same corner).
Before sending any calculations to the solver engine, our tool performs exhaustive parity checks and displays plain-English diagnostic feedback naming the exact defect and providing hints on what to check on your real cube.
ExWorked Example: Entering and Solving a Scramble
To understand how the workflow functions, consider a classic benchmark scramble: R U R' F' U2 R2 B' U R' D2 F L2 U2 F' R2 D2 F2 L2.
- Center Alignment: Hold your cube so the White center is facing UP, Green is facing FRONT, and Red is on your RIGHT. Notice that our on-screen net has these exact centers locked in place.
- Painting Faces: Look at the Front face and tap Green, Red, White, or Yellow for each of the 8 surrounding stickers. Turn to the Right face (Red center) and fill its stickers. Repeat for Top, Bottom, Left, and Back.
- Verification: The live palette counters confirm 9/9 for all six colors.
- Instant Solve: Pressing Solve validates the parity in less than 5 milliseconds, runs Kociemba's Phase 1 and Phase 2 search, and returns an elegant 18-move solution.
- Execution: Press Play or use the Next Move button. The 3D player animates each turn while showing
R("Right face — clockwise 90°"), letting you mirror the exact turns on your physical cube until it clicks into its solved state.
How to Use This Rubik's Cube Solver
Follow these four simple steps to solve your 3x3 cube in minutes.
Hold Your Cube in a Fixed Orientation
Hold your physical cube comfortably with the White center on Top and the Green center in Front. Do not rotate the cube around in your hands while copying colors; keeping your cube in one fixed orientation prevents inverted sides.
Paint All 54 Stickers on the 2D Net
Select a color from the 6-color palette bar, then tap or click each sticker on the unfolded cube net. The 6 center stickers are permanently locked to guide you. Keep painting until the live counters show exactly 9 stickers for all 6 colors.
Click Solve for Instant Validation
Press the Solve button. The solver automatically checks corner twists, edge flips, and piece swap parities. If an impossible configuration is detected, you will see a plain-English explanation. Otherwise, the solver returns a ~20-move solution in milliseconds.
Follow the 3D Solution Player
Press Play or step forward move by move. Watch the turn animate on the 3D cube, read the plain-English directions (e.g. "Right face — clockwise 90°"), and follow the curved arrows to solve your real cube step by step.
How the Cube Solver Engine Works
The science behind Herbert Kociemba's algorithm and God's Number.
A standard 3x3 Rubik's Cube has 43,252,003,274,489,856,000 (over 43 quintillion) possible reachable positions. If you had 43 quintillion standard Rubik's cubes and placed them side by side, they would cover the entire surface of the Earth roughly 275 times. Searching through this colossal state space using naive brute-force search would take modern supercomputers thousands of years.
Herbert Kociemba's Two-Phase Algorithm
In 1992, German mathematician Herbert Kociemba introduced a breakthrough solution called the Two-Phase Algorithm. Rather than searching the entire 43 quintillion space in one step, Kociemba's algorithm divides the problem into two distinct mathematical subgroups:
- Phase 1 (Orientation & Slice Reduction): The algorithm searches for a short sequence of moves that orients all 12 edges, orients all 8 corners, and places the 4 middle-layer edges into the middle slice (the equatorial slice). Once reached, the cube enters a subgroup denoted as
<U, D, L2, R2, F2, B2>, where it can be solved without any quarter-turns of the sides. - Phase 2 (Subgroup Permutation): Using only half-turns of the front, back, left, and right faces alongside any turns of the top and bottom faces, the algorithm solves the remaining corners and edges into the solved state.
By pre-calculating pattern pruning tables (which store distance heuristics for edge orientations, corner orientations, and slice coordinates), the worker can prune billions of fruitless search branches and return an optimal solution in mere milliseconds.
God's Number: Exactly 20 Moves
In July 2010, an international team of researchers (Tomas Rokicki, Herbert Kociemba, Morley Davidson, and John Dethridge) proved that every possible 3x3 cube configuration can be solved in 20 moves or fewer in the Half-Turn Metric (HTM). This theoretical maximum required to solve the worst possible scrambled cube is universally known as God's Number.
Why Solutions May Be 21 or 22 Moves
Finding the absolute minimal move count (e.g. exactly 18 instead of 20) can take several additional seconds of deep branch-and-bound searching. On mobile phones and laptops, our solver prioritizes instant responsiveness, capping search depth to deliver a 20-to-22 move solution in under 50 milliseconds without draining battery life.
Rubik's Cube Notation Explained
The official World Cube Association (WCA) notation uses letters to represent 90° clockwise face turns.
| Notation | Face | Colour (Standard) | Plain-English Direction |
|---|---|---|---|
| U / U' / U2 | Up (Top) | White | Turn top layer clockwise / counter-clockwise / 180° |
| D / D' / D2 | Down (Bottom) | Yellow | Turn bottom layer clockwise / counter-clockwise / 180° |
| F / F' / F2 | Front | Green | Turn front face facing you clockwise / counter-clockwise / 180° |
| B / B' / B2 | Back | Blue | Turn rear face clockwise / counter-clockwise / 180° |
| L / L' / L2 | Left | Orange | Turn left face clockwise / counter-clockwise / 180° |
| R / R' / R2 | Right | Red | Turn right face clockwise / counter-clockwise / 180° |
Fast Mode vs Beginner Mode
Choose the mode that best matches your immediate goal.
| Feature | Fast Mode (Optimal) | Beginner Mode (Layer-by-Layer) |
|---|---|---|
| Average Move Count | ~20 to 22 moves | ~80 to 110 moves |
| Underlying Algorithm | Herbert Kociemba Two-Phase Engine | Classic 7-Stage Layer-by-Layer (LBL) |
| Who It Is For | Anyone wanting their scrambled cube solved fast | Beginners learning how to solve the cube themselves |
| What You Learn | Computer path efficiency and God's Number speed | Pattern recognition, cross building, and algorithms |
| Solve Speed | < 50 milliseconds | Guided stage-by-stage tutorial |
| Stages Handled | Direct whole-cube solve | 7 progressive checkpoints with "Already Done" tags |
The 7 Beginner Stages at a Glance
The classic Layer-by-Layer (LBL) method breaks solving down into intuitive, manageable milestones.
Stage 1: White Cross
Goal: Position the 4 white edge pieces around the white center so each edge's side sticker matches its adjacent center (Green, Red, Blue, Orange).
Stage 2: White Corners / First Layer
Goal: Insert the 4 white corner pieces into their correct positions and orientations, completing the entire first layer and forming small 'T' shapes on all four sides.
Stage 3: Middle Layer Edges
Goal: Insert the 4 equatorial middle edges (Green-Red, Red-Blue, Blue-Orange, Orange-Green) without disturbing the solved white first layer, solving the first two layers (F2L).
Stage 4: Yellow Cross
Goal: Form a yellow cross on the opposite (Yellow) face using the standard beginner algorithm F R U R' U' F'.
Stage 5: Yellow Edges in Place
Goal: Permute the 4 yellow cross edges so that their side stickers match the side centers, using the Sune algorithm R U R' U R U2 R'.
Stage 6: Yellow Corners in Place
Goal: Cycle the 4 yellow corners into their correct physical corner locations (even if twisted), using the Niklas algorithm U R U' L' U R' U' L.
Stage 7: Twist the Yellow Corners
Goal: Orient each yellow corner piece in place using repeated cycles of R' D' R D until yellow faces up, completing the entire Rubik's Cube.
Rubik's Cube Solver FAQs
Got questions? Find clear, expert answers to common cubing questions below.
Q1Is this Rubik's Cube solver free?
Yes, this online Rubik's Cube solver is 100% free with no hidden fees, subscriptions, or paywalls. You do not need to register an account or install any software. Everything runs directly inside your web browser on desktop, tablet, or mobile devices.
Q2How do I use the cube solver?
Hold your scrambled physical cube in a fixed orientation (for example, White centre on top and Green centre facing you). Pick colours from the on-screen palette to paint each sticker on the unfolded net to match your cube. Then click Solve to get a step-by-step animated 3D solution you can follow at your own pace.
Q3How many moves does it take to solve a Rubik's Cube?
Using Herbert Kociemba's two-phase algorithm, our Fast mode solves almost every scrambled 3x3 position in 20 to 22 moves. In 2010, mathematicians proved that every possible position of a standard 3x3 cube can be solved in 20 moves or fewer (known as God's Number in half-turn metric).
Q4What is the difference between Fast mode and Beginner mode?
Fast mode calculates an optimal or near-optimal computer solution of approximately 20 moves using the Kociemba two-phase algorithm, which is ideal when you simply want your cube solved quickly. Beginner mode breaks the solve down into seven human-learnable layer-by-layer stages so newcomers can understand the logic and memorize solving algorithms.
Q5Why does the solver say my cube is impossible to solve?
If a physical cube was ever disassembled, dropped, or had stickers peeled, it may have been reassembled into an unsolvable permutation. Only 1 in 12 random physical cube assemblies is legally solvable by turns alone. The other 11 in 12 fall into one of four parity defects: (1) Corner Twist Parity (a single corner is twisted in place; remedy: gently twist that corner piece back), (2) Edge Flip Parity (an isolated edge piece is inserted backwards; remedy: pop and flip that edge), (3) Permutation Swap Parity (only two corners or two edges are swapped, creating a parity mismatch between corner and edge cycles; remedy: swap the two pieces physically), or (4) Sticker Count & Integrity (each color must appear exactly 9 times, and opposite colors like White/Yellow cannot share a piece). Our pre-solve validator detects these defects instantly and explains the exact issue.
Q6Can I solve a cube with a non-standard or Japanese color scheme?
This solver uses the standard Western (BOY) color scheme with locked centers: White opposite Yellow, Green opposite Blue, and Red opposite Orange. If your physical cube uses the Japanese color scheme (where Blue is opposite White and Yellow is adjacent) or a custom layout, its center pieces will not match our on-screen net. To solve a non-standard cube, match your cube's centers relative to the on-screen net first, or substitute your opposing colors systematically to mirror the standard arrangement.
Q7Can this solver solve any scrambled 3x3 cube?
Yes. As long as your cube is physically intact and entered with valid colours, our solver can solve any legal 3x3 configuration out of all 43 quintillion possibilities. The solver strictly handles standard 3x3 cubes and validates all mathematical parity rules before computing the move sequence.
Q8Do I need to know cube notation to follow the solution?
No prior knowledge of Rubik's Cube notation is required. While standard notation (such as R, U', F2) is displayed for experienced cubers, every single step is paired with clear plain-English instructions (like 'Right face — clockwise 90°') and directional indicators directly on the animated 3D cube.
Q9Does the cube solver work on my phone?
Yes, the solver is designed mobile-first and works seamlessly on modern smartphones, including screens as narrow as 360 pixels. The unfolded net, colour palette, and 3D player feature large tap targets, intuitive touch drag for 3D rotation, and responsive controls that require no horizontal scrolling.
Q10Is my cube uploaded anywhere or do I need an account?
Your cube data is never uploaded to any server. All validation, table pre-calculations, and solving algorithms run 100% locally inside your browser via client-side JavaScript and Web Workers. No account, login, cookies, or personal tracking are ever used.
Q11Can this solver solve a 2x2 or 4x4 cube?
No, this tool is dedicated exclusively to the standard 3x3x3 Rubik's Cube. It does not support 2x2 Pocket Cubes, 4x4 Rubik's Revenge, 5x5 Professor's Cubes, Pyraminx, or other twisty puzzles in version 1. Focusing solely on 3x3 ensures optimal speed, lightweight code, and maximum accuracy.
Q12What is God's Number for the Rubik's Cube?
God's Number is 20 in the standard Half-Turn Metric (HTM). Proved in July 2010 by a team of mathematicians and computer scientists using Google supercomputers, God's Number establishes that every one of the 43,252,003,274,489,856,000 possible cube configurations can be solved in 20 moves or fewer.
Q13Why is my solver's solution different from another solver's?
A typical scrambled cube has thousands of different valid solving paths. Solvers explore search trees in phase one and phase two differently depending on pruning table depth, search timeouts, and tie-breaking heuristics. While move sequences differ, any valid solution will successfully return your cube to its solved state.