Very nice concept of map design!! Keep on it, there is good possibilities to expand this core mechanic. Dont know any game, which use it, so a very unique idea!!
Hehe not really there is a game called Fez, one of the first successful hit indie games, where the game is exactly this mechanic but more elaborate. Thanks though :P i will be updating this in the future with more content and better graphics so give a follow if you like!