Droplitz isn't too hard to understand. It is a clever hybrid of a pipes and tiles games. There is a board of play and at the top and bottom of each board are droplet dispensers and collectors. The droplets pour down from the top and you have to manipulate the board to create paths that catch them at the bottom which refills a droplet meter on the left. The tiles on the board contain different shaped paths and you have to rotate the tiles to create a solid path from the top to the bottom. Once a path is created, you can combo or chain your score higher by creating more branches for the droplet to travel.
Learning a single board is probably the best way to get started. The boards get wider and taller as you clear more and the most efficient way to get those astronomical scores is to play the most difficult boards. Unfortunately, this is also the only way to unlock the different modes.
There are four different modes of play in Droplitz, but they all are simple variants of the "Classic" Mode you start with. The first you unlock is called "Zendurance" and this is where most people will stop playing. Zendurance starts on the hardest board and challenges you to play until you lose. There are lots of tricks to learn that Droplitz doesn't do too much to teach you, but I will get to more on that later.
You play Zendurance to unlock "Power Up" and then play that one to unlock "Infection." Power Up (as the name implies) has power ups that aid you during playtime. There are time freezes and bombs, but honestly, I didn't use any of them too often until I was reaching the end of the round. Lastly, the "Infection" mode is only for the committed because not only do you have to unlock it with a ridiculously high score, it "rewards" you by making the tiles harder to turn and overall a much more difficult game.