At first I was a little frustrated since I didn't know what to do. I was just mindlessly falling through holes that the arrows were pointing to and felt I was making no progress. Then I moved the bedside table and suddenly realized that doing so also changes the position of the table in the other rooms. After that realization, the game became immensely enjoyable and reminded me of Portal (I noticed you used a piano remix of Still Alive!).
Awesome implementation of the theme. My only suggestion would be to make it more obvious that moving the table in the first room also moves it in subsequent rooms. Took me way too long to figure that out.