Ooooh, Sexy

Geometry Level 4

When solving a Rubik's Cube, a common algorithm in speedcubing is the "sexy move," in which the solver performs the moveset RR UU RR' U,U', meaning, "rotate the rightmost face 9090^{\circ} clockwise, then the uppermost face 9090^{\circ} clockwise, then the rightmost face 9090^{\circ} counterclockwise, then the uppermost face 9090^{\circ} counterclockwise."

How many times will a solver have to perform the "sexy move," starting in a solved state, before he returns to the solved state again?

Learn more about Rubik's move notation here.

A nod to Josh Silverman for precedence.
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