Jess: Patchwork is a fantastic 2 player game where you and your opponent are creating quilts. I played it recently and found it much more thinky than I expected. It is very good for people who enjoy visual puzzles.
In the mobile version, you will be able to test your quilting skills against players all over the world in ranked matches. You can also play unranked matches against your friends or go solo by playing against an A.I. The A.I. comes in three different flavors of difficulty: Lula/Easy, Hoo/Medium, and Ute/Hard.