# The repetition trick

Pick any sequence of moves and repeat it from a solved cube. Sooner or later the cube is solved again. This works for every sequence, because the cube has a finite number of positions. The number of repeats it takes is called the sequence's **order**.

## R U R' U': order 6

> 3D demo, (R U R' U') ×6 = solved: `R U R' U'` × 6

## R U: order 105

Do `R U` 105 times, which is 210 turns, and the cube is solved again. Try it while watching TV.

> 3D demo, (R U) ×105 = solved: `R U` × 105

## Why it works

Each repeat moves the same pieces round the same loop.

With `R U`:
- **Seven edges** travel round a loop of 7, so they're home every 7 repeats.
- **Five corners** travel round a loop of 5. After 5 repeats they're back in place but twisted, so they need 3 × 5 = 15 repeats to be home and untwisted.
- Everything is home at once after the smallest number that both 7 and 15 divide: 105.

## Common mistakes

- **One wrong turn.** A single mistake means you'll never come back. Count in groups of ten.

Source: https://scanmycube.com/patterns/repetition