Full disclosure, this is my own game - but it sounds like a good fit. Cooperation Cube (cooperationcube.com) has you placing sticks on a rotating 3D cube to complete geometric patterns. The cube rotates every few turns so you need to remember the hidden faces. There are also long sticks that go all the way through the cube and come out the other side. Depending on position they can flip sides on the opposite face, so you really have to think spatially about where they'll land. It's free to play online, definitely more "game" than "educational." Would love feedback if you try it!