A very nice puzzle game!
It gets really fun when you finally understand how to get the face you want to move any tile around.
I liked the concept, and it would be very easy to expand for a bit more difficulty (new operators, multiple doors, smaller rooms to force you to navigate carefully, etc).
The only thing that bothered me was that the restart button was next to the pull one. I stopped using E alltogether after my 5th accidental reload ^^'
But apart from that, great submission! =)