Cube Scramble Generator
A scramble is only as long as its shortest equivalent, and a naive random sequence is usually shorter than it looks. Two turns of the same face collapse into one; three consecutive moves on the same axis always reduce, because opposite faces commute. This generates sequences with both of those redundancies excluded, so a twenty-move scramble genuinely is twenty moves of work.
What this generator does
Builds a sequence from the six face turns with three modifiers each, rejecting any move on the same face as the one before it, and any move that would make three consecutive turns share an axis. The finished sequence is re-checked against both rules and against the notation itself before display.
How to use this tool
- Choose a scramble length — competitions typically use around twenty moves.
- Apply the moves in order to a solved cube.
- A plain letter is a quarter turn clockwise, an apostrophe anticlockwise, and a 2 is a half turn.
- Seed the scramble to give several people exactly the same starting cube.
Understanding the controls
- Scramble length
- Between 8 and 30 moves. Around twenty is the usual competition length; much beyond that adds little, since a cube is never more than twenty quarter-turns from solved.
- Seed
- Any word reproduces exactly the same scramble, so a race or class can share one starting position.
Common use cases
- Practice scrambles for speedcubing, with no wasted moves
- Setting the same scramble for everyone in a race or a class
- Test sequences for a cube solver or simulator
- Demonstrating why move-cancellation matters when measuring scramble length
- Generating a reproducible scramble from a seed
How this generator works
The six faces sit on three axes — up and down, left and right, front and back — and turns on opposite faces commute with each other. That makes any three consecutive moves on one axis reducible to at most two, and any two moves on the same face reducible to one. Excluding both keeps the stated length honest. The checker re-derives both conditions from the finished sequence rather than trusting the loop that built it.
Randomness and fairness
The face and turn direction are chosen randomly, subject to the two redundancy rules. A seed reproduces the same scramble exactly and is therefore explicitly not cryptographically secure. Without a seed the browser's cryptographically secure generator is used.
For how randomness is produced across the whole site, see how Generate Random works.
Limitations and good to know
- Notation only — this does not simulate the cube or show the resulting pattern.
- The standard 3x3 face turns; no slice, wide or rotation moves, and no larger cubes.
- Not a competition-legal random-state scramble: those are generated by picking a random cube state and solving it, which guarantees a uniform distribution this does not.
- Excluding redundancy keeps the length honest but does not guarantee any minimum difficulty.
- Scrambles are not stored between visits; seed one you want again.
Privacy and your data
The scramble is generated in your browser. Nothing about the sequence or your seed is transmitted or kept.
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- Knight's Tour GeneratorA knight's route visiting every square of the board exactly once, with every step re-checked as a legal knight move.
- Maze GeneratorPrint a maze with exactly one route from start to finish — three textures from long corridors to short dead ends, any size up to 40 by 40.