I've played the game, and know the gist of what's going on. However it was difficult to stick through to the end, even harder so if the audience has not played the game yet. Control a unique color square with an objective to expand your land by moving around the level and score the points. There are lots of other players available from around the world with the similar task like you, and you must avoid them to progress through the game, draw the line and return to your territory to conquer the targeted area and keep progress through the game by repeating the same action. When you draw a line carefully, the game will end once another player touches your line before you reach to your land. Score as many points as possible to rank up the leaderboard and become the master by defeating other players.
Try out at: http://paperio.org/play/Paper-IO.html