You play as some guy. Who or what he is isn't important. His apartment is what is important. It's empty. One day when he comes home, he notices a small rift to another dimension on his wall, and a part of a fold-out chair is sticking out of it. By just walking up to it and kind of hitting your head against it, it comes out of the hole. Another corner of a different kind of chair pops into the hole to fill that spot. The character realizes this is just great because his apartment is empty and he has a whole bunch of guests coming over to watch a basketball game. So he sets himself to get as many chairs out of this hole as possible to fill up his apartment and to give people a place to sit down.
Each chair is a different size, shape and weight. The hole also shifts around, and you have to use the chairs the already have to stack them up to get to the hole, and also special attributes about each chair to help knock the next chair loose. For example, at one point you may have to make a stack of chairs, push two recliners next to each other and use the leg rest on one to knock the other onto the stack of chairs so you can use the other's leg rest to knock the next chair out, because a recliner is too heavy to pick up and take directly to the top of the stack.
Maybe "The Chair Hole" would be an appropriate name. Appropriate yes, but maybe not the most marketable.
