Overlock

Overlock is a free mobile puzzle game where the player is presented with a selection of overlapping shapes and move them so that none of them are overlapping. The shapes can only be moved in predetermined ways which the player does by tapping them. It starts off with shapes that rotate 90 degrees when they are tapped, then adds additional mechanics with each sequence of levels. There are 5 sequences of levels with 6-7 puzzles each, and total of 32 puzzles altogether.