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===Period of move sequences=== The repetition of any given move sequence on a cube which is initially in solved state will eventually return the cube back to its solved state: the smallest number of iterations required is the period of the sequence. For example, the 180-degree turn of any side has period 2 (e.g. {{nowrap|{U<sup>2</sup>}<sup>2</sup>}}); the 90-degree turn of any side has period 4 (e.g. {{nowrap|{R}<sup>4</sup>}}). The maximum period for a move sequence is 1260:<ref name="advgroup" /> for example, allowing for full rotations, {{nowrap|{F x}<sup>1260</sup>}} or {{nowrap|{R y}<sup>1260</sup>}} or {{nowrap|{U z}<sup>1260</sup>}}; not allowing for rotations, {{nowrap|{D R' U<sup>2</sup> M}<sup>1260</sup>}}, or {{nowrap|{B E L' F<sup>2</sup>}<sup>1260</sup>}}, or {{nowrap|{S' U' B D<sup>2</sup>}<sup>1260</sup>}}; only allowing for clockwise quarter turns, {{nowrap|{U R S U L}<sup>1260</sup>}}, or {{nowrap|{F L E B L}<sup>1260</sup>}}, or {{nowrap|{R U R D S}<sup>1260</sup>}}; only allowing for lateral clockwise quarter turns, {{nowrap|{F B L F B R F U}<sup>1260</sup>}}, or {{nowrap|{U D R U D L U F}<sup>1260</sup>}}, or {{nowrap|{R L D R L U R F}<sup>1260</sup>}}.
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