Can one play with Rubik’s Cube on Shabbos?
Answer:
Yes, there is no problem of playing with a Rubik’s Cube on Shabbos. No melacha is involved in this, and “ordering” the sides by their colors is not considered an act of sorting (borer).
Concerning a similar question of arranging a puzzle on Shabbos, see Shemiras Shabbas Kehilchasa 16:24 (permitting).