Well, I believe that I've just finished the game--albeit with a little bit of cheating ;P--and it was a pretty fun experience!
Discovering the rules of the system was interesting--and at times tough! (The screenshot 3 room had me stumped for quite a while; it was actually another comment that prompted the experiment that allowed me to solve it, as I recall!)
As to... the other interaction in the game--the one found in each room, but not part of unlocking gates--that was intriguing. I'll confess that the changes between puzzles caught me out on a few occasions, although I adapted for the most part. (It was with this interaction that I cheated a bit.)
But yes, in the end, a nice, engaging, and mysterious game, I feel! ^_^