It's nice in a lot of ways... I like the fold-down Ikea desk, the sliding closet doors, the loft, etc.
On the other hand, it cost them $35,000 (yikes!) and they pay $500 a month for rent (which does include utilities)...which is not better than one can pay for a tiny apartment of that size. So while it is more independent and creative, it's not necessarily a big money saver compared to available alternatives. Would you agree?
...By the way, in answer to your question, CaseyC, the fuel they're using is denatured alcohol...which is supposed to be widely available in hardware stores. Apparently alcohol stoves are fairly common on boats--and from what I've read, the "non-pressurized" alcohol stoves are considered the best kind of alcohol stove to use.
Some of the reported (or claimed) down sides to cooking with denatured alcohol are...that the flame is harder to see, and that it doesn't burn as hot as propane or other gas and therefore takes longer to cook things. The proponents of using the alcohol, on the other hand, claim that propane will occasionally explode while alcohol will not, and also that alcohol is more easily available in various far-flung places.