Rubik's cube scramble generator

Generate WCA-style scrambles for the 3x3, 2x2, 4x4, 5x5, skewb, pyraminx and square-1, up to 25 at once, each with a picture of the scrambled puzzle. Copy them all or print the list.

Puzzle

How to use the scramble generator

This Rubik's cube scramble generator works like a cube scrambler at a competition: pick the puzzle, choose how many scrambles you want (1 to 25), and press Generate. Each scramble comes with a flat picture of the puzzle after the moves, so you can check that you scrambled it right. Copy all puts the numbered list on your clipboard; Print gives a clean sheet with the pictures. The list stays in your browser, and Copy link to this puzzle shares the same scrambles with someone else.

How to hold the puzzle. Cubes: white on top, green in front. Skewb: white on top, green in front, moves as in WCA notation (R, U, L, B turn around a corner). Pyraminx: one face toward you, U at the top. Square-1: in cube shape with the slice cut on your right; (x,y) turns the top and bottom layers in steps of 30 degrees and / turns the right half.

Random state or random move

A random-state scramble first picks a position of the puzzle at random, every position equally likely, then gives you a sequence that reaches it. That is how the 3x3, 2x2, skewb, pyraminx and square-1 scrambles here are made: the 3x3 position is solved with the same two-phase method as our 3x3 solver and the solution is reversed, so the scramble has 22 moves or fewer; 2x2, skewb and pyraminx positions are solved in the fewest moves; square-1 positions with our square-1 engine. Positions that are almost solved (a 2x2 under 4 moves away, a skewb under 7, a pyraminx under 6 without tips) are drawn again.

A random-move scramble is a list of random turns. The 4x4 scrambles here are 40 random outer and two-layer turns, the 5x5 scrambles 60 random turns of the outer and two-layer kinds on all six faces; a turn never repeats the layer before it on the same axis. Random moves do not make every position exactly equally likely, but that many turns mix the cube thoroughly, which is what you need for practice.

These are WCA-style scrambles, in the same notation official scrambles use, but they are not official: competitions use scrambles from the WCA's own scrambling program, made at the event. Use these for practice, races with friends and timing sessions, for example on our cube timer, which also shows a new scramble after each solve.

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Questions

What is a WCA-style scramble?

A scramble written in the notation the World Cube Association uses, starting from a solved puzzle held the standard way (for cubes: white on top, green in front). Follow the moves in order and every cuber ends up with the same position.

Are these scrambles random?

The 3x3, 2x2, skewb, pyraminx and square-1 scrambles are random state: every position is equally likely, apart from a few almost-solved ones that are drawn again. The 4x4 and 5x5 scrambles are long random-move sequences.

Why are 4x4 and 5x5 scrambles so long?

They are random moves, not random positions, and a big cube needs many turns before its pieces are well mixed: 40 here for the 4x4 and 60 for the 5x5.

Can I use these scrambles in a competition?

No. Official competitions use scrambles made by the WCA's scrambling program for that event. These are for practice.

Is anything sent to a server?

No. Every scramble is made in your browser, and the list is only stored on your device.